N. J. A. Sloane - Publications

Neil J. A. Sloane: Publication List

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1. Hamiltonian cycles in a graph of degree 4, N. J. A. Sloane, J. Combinatorial Theory, 6 (1969), pp. 311-312.

2. Restrictions on Weight Distribution of Reed-Muller Codes, E. R. Berlekamp and N. J. A. Sloane, Information and Control, 14 (1969), pp. 442-456.

3. Codes for Multislit Spectrometry, N. J. A. Sloane, T. Fine, P. G. Phillips and M. Harwit, Applied Optics, 8 (1969), pp. 2103-2106.

4. Doubly Multiplexed Dispersive Spectrometers, M. Harwit, P. G. Phillips, T. Fine and N. J. A. Sloane, Applied Optics, 9 (1970), pp. 1149-1154.

5. The Enumeration of Rooted Trees by Total Height, J. Riordan and N. J. A. Sloane, J. Australian Math. Soc., 10 (1969), pp. 278-282.

6. The Weight Enumerator for Second-Order Reed-Muller Codes, N. J. A. Sloane and E. R. Berlekamp, IEEE Trans. Information Theory, IT-16 (1970), pp. 745-751.

7. New Sphere Packings in Dimensions 9-15, J. Leech and N. J. A. Sloane, Bull. Amer. Math. Soc., 76 (1970), pp. 1006-1010.

8. Review of `Proof Techniques in Graph Theory', edited by F. Harary, N. J. A. Sloane, Mathematics of Computation, 24 (1971), pp. 997-998.

9. New Methods for Grating Spectrometers, N. J. A. Sloane, T. Fine and P. G. Phillips, Optical Spectra, 4 (1970), pp. 50-53.

10. A New Family of Single-Error Correcting Codes, N. J. A. Sloane and D. S. Whitehead, IEEE Trans. Information Theory, IT-16 (1970), pp. 717-719.

11. A New Family of Nonlinear Codes Obtained from Conference Matrices, N. J. A. Sloane and J. J. Seidel, Annals New York Academy of Sciences, 175 (1970), pp. 363-365.

12. New Sphere Packings in More Than Thirty-Two Dimensions, J. Leech and N. J. A. Sloane, Proceedings Second Chapel Hill Conference on Combinatorial Mathematics and its Applications, Univ. of North Carolina, Chapel Hill, NC, 1970, pp. 345-355.

13. On the Existence of a Projective Plane of Order 10, F. J. MacWilliams, N. J. A. Sloane and J. G. Thompson, J. Combinatorial Theory, Series A, 14 (1973), pp. 66-78.

14. Sphere Packing and Error-Correcting Codes, J. Leech and N. J. A. Sloane, Canad. J. Math., 23 (1971), pp. 718-745, A revised version appears as Chapter 5 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

15. On the Enumeration of Cosets of First-Order Reed-Muller Codes, N. J. A. Sloane and R. J. Dick, Proceedings IEEE International Conference on Communications, Montreal 1971, IEEE Press, NY, 7 (1971), pp. 36-2 to 36-6.

16. A Survey of Recent Results in Constructive Coding Theory, N. J. A. Sloane, Proceedings IEEE National Telemetering Conference 1971, IEEE Press, NY, 1971, pp. 218-227.

17. A New Multiplexing Spectrometer with Large Throughput, P. G. Phillips, M. Harwit and N. J. A. Sloane, Aspen International Conference on Fourier Spectroscopy, 1970, G. A. Vanasse, A. T. Stair, Jr. and D. J. Baker (editors), Air Force Cambridge Research Laboratories, Air Force Systems Command, Bedford, MA, 1971, pp. 441-444.

18. Reducing the Number of Measurements in Doubly Multiplexed Spectrometers, N. J. A. Sloane, Aspen International Conference on Fourier Spectroscopy, 1970, G. A. Vanasse, A. T. Stair, Jr. and D. J. Baker (editors), Air Force Cambridge Research Laboratories, Air Force Systems Command, Bedford, MA, 1971, pp. 435-440.

19. Coset Analysis of Reed-Muller Codes via Translates of Finite Vector Spaces, R. P. Kurshan and N. J. A. Sloane, Information and Control, 20 (1972), pp. 410-414.

20. Some Doubly Exponential Sequences, A. V. Aho and N. J. A. Sloane, Fibonacci Quarterly, 11 (1973), pp. 429-437.

21. On Finding the Paths Through A Network, N. J. A. Sloane, Bell Sys. Tech. J., 51 (1972), pp. 371-390.

22. Gleason's Theorem on Self-Dual Codes, E. R. Berlekamp, F. J. MacWilliams and N. J. A. Sloane, IEEE Trans. Information Theory, IT-18 (1972), pp. 409-414.

23. New Binary Codes, N. J. A. Sloane, R. M. Reddy and C. L. Chen, IEEE Trans. Information Theory, IT-18 (1972), pp. 503-510.

24. Good Self-Dual Codes Exist, F. J. MacWilliams, N. J. A. Sloane and J. G. Thompson, Discrete Math., 3 (1972), pp. 153-162.

25. A Survey of Constructive Coding Theory, and a Table of Binary Codes of Highest Known Rate, N. J. A. Sloane, Discrete Math., 3 (1972), pp. 265-294, Reprinted in ``Key Papers in the Development of Coding Theory'', E. R. Berlekamp, Ed., IEEE Press, NY, 1974, pp. 277-285. Russian translation in ``Cybernetics Collection'', New Series, No. 10, A. A. Ljapunov and O. B. Lupanov, Eds., Mir, Moscow, 1973, pp. 5-32.

26. The MacWilliams Identities for Nonlinear Codes, F. J. MacWilliams, N. J. A. Sloane and J.-M. Goethals, Bell Sys. Tech. J., 51 (1972), pp. 803-819, Reprinted in ``Algebraic Coding Theory - History and Development'', I. F. Blake, Ed., Dowden, Hutchinson and Ross, Stroudsberg, PA, 1973, pp. 263-279.

27. Generalizations of Gleason's Theorem on Weight Enumerators of Self-Dual Codes, F. J. MacWilliams, C. L. Mallows and N. J. A. Sloane, IEEE Trans. Information Theory, IT-18 (1972), pp. 794-805.

28. Sphere Packings Constructed from BCH and Justesen Codes, N. J. A. Sloane, Mathematika, 19 (1972), pp. 183-190.

29. On the Invariants of a Linear Group of Order 336, C. L. Mallows and N. J. A. Sloane, Proc. Cambridge Philosophical Soc., 74 (1973), pp. 435-440.

30. An Upper Bound for Self-Dual Codes, C. L. Mallows and N. J. A. Sloane, Information and Control, 22 (1973), pp. 188-200.

31. Is There a (72,36) d = 16 Self-Dual Code?, N. J. A. Sloane, IEEE Trans. Information Theory, IT-19 (1973), page 251.

32. What are the Latin Square Groups?, J. J. Carroll, G. A. Fisher, A. M. Odlyzko and N. J. A. Sloane, Amer. Math. Monthly, 80:9 (1973), pp. 1045-1046.

33. The Persistence of a Number, N. J. A. Sloane, J. Recreational Math, 6 (1973), pp. 97-98.

34. The Orchard Problem, S. A. Burr, B. Gruenbaum and N. J. A. Sloane, Geometriae Dedicata, 2 (1974), pp. 397-424.

35. Weight Enumerators of Self-Orthogonal Codes, C. L. Mallows and N. J. A. Sloane, Discrete Math., 9 (1974), pp. 391-400.

36. Codes Which Detect Deception, E. N. Gilbert, F. J. MacWilliams and N. J. A. Sloane, Bell Sys. Tech. J., 53 (March 1974), pp. 405-424.

37. A Short Course on Error-Correcting Codes (Lectures given at the International Centre for Mechanical Sciences, Udine, Italy, 1973), N. J. A. Sloane, Springer-Verlag, NY, 1975, 78pp. (ISBN 3-211-81303-9).

38. A Handbook of Integer Sequences, N. J. A. Sloane, Academic Press, NY, 1973.

39. On the Classification and Enumeration of Self-Dual Codes, V. Pless and N. J. A. Sloane, J. Combinatorial Theory, Series A, 18 (1975), pp. 313-335.

40. Binary Self-Dual Codes of Length 24, V. Pless and N. J. A. Sloane, Bull. Amer. Math. Soc., 80 (1974), pp. 1173-1178.

41. Upper Bounds for Modular Forms, Lattices, and Codes, C. L. Mallows, A. M. Odlyzko and N. J. A. Sloane, J. Algebra, 36 (1975), pp. 68-76.

42. Weight Enumerators of Codes, N. J. A. Sloane, Combinatorics, M. Hall, Jr. and J. H. van Lint (editors), Mathematical Centre, Amsterdam, and Reidel Publishing Co., Dordrecht, Holland, 1975, pp. 115-142.

43. Two-Graphs, Switching Classes, and Euler Graphs are Equal in Number, C. L. Mallows and N. J. A. Sloane, SIAM J. Appl. Math., 28 (1975), pp. 876-880.

44. Complete Classification of (24,12) and (22,11) Self-Dual Codes, V. Pless and N. J. A. Sloane, M.I.T., Cambridge, MA, June 1974.

45. Find the Next Term, N. J. A. Sloane, J. Recreational Math., 7 (1974), page 146.

46. Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique, N. J. A. Sloane, Amer. Math. Monthly, 84 (1977), pp. 82-107.

47. Masks for Hadamard Transform Optics, and Weighing Designs, N. J. A. Sloane and M. Harwit, Applied Optics, 15 (1976), pp. 107-114.

48. An Introduction to Association Schemes and Coding Theory, N. J. A. Sloane, Theory and Applications of Special Functions, R. A. Askey (editor), Academic Press, NY, 1975, pp. 225-260.

49. Errors in Hadamard Spectroscopy or Imaging Caused by Imperfect Masks, M. H. Tai, M. Harwit and N. J. A. Sloane, Applied Optics, 14 (1975), pp. 2678-2686.

50. A Simple Description of an Error-Correcting Code for High Density Magnetic Tape, N. J. A. Sloane, Bell Sys. Tech. J., 55 (1976), pp. 157-165.

51. Self-Dual Codes Over GF(3), C. L. Mallows, V. Pless and N. J. A. Sloane, SIAM J. Appl. Math., 31 (1976), pp. 649-666.

52. Pseudo-Random Sequences and Arrays, F. J. MacWilliams and N. J. A. Sloane, Proc. IEEE, 64 (1976), pp. 1715-1729.

53. The Theory of Error-Correcting Codes, F. J. MacWilliams and N. J. A. Sloane, North-Holland, Amsterdam, 1977, 762 pp., Russian translation ``Teoriya kodov, ispravlyayushchikh oshibki'' by I. I. Grushko and V. A. Zinov'ev, edited by L. A. Bassalygo, published by Svyaz, Moscow, 1979.

54. Bounds for Binary Codes of Length Less than 25, M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko and N. J. A. Sloane, IEEE Trans. Information Theory, IT-24 (1978), pp. 81-93, Russian translation in Kibern. Sb., Nov. Ser., Vol. 17 (1980), 28-59.

55. Self-Dual Codes Over GF(4), F. J. MacWilliams, A. M. Odlyzko, N. J. A. Sloane and H. N. Ward, J. Combinatorial Theory, Series A, 25 (1978), pp. 288-318.

56. Assessment of the National Bureau of Standards Proposed Federal Data Encryption Standard, R. Morris, N. J. A. Sloane and A. D. Wyner, Cryptologia, 1 (1977), pp. 281-306.

57. Codes over GF(4) and Complex Lattices, N. J. A. Sloane, J. Algebra, 52 (1978), pp. 168-181.

58. Binary Codes, Lattices, and Sphere-Packings, N. J. A. Sloane, Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference, P. J. Cameron (editor), Academic Press, NY, 1977, pp. 117-164, Russian translation in ``Mathematics: New in Foreign Science'', Vol. 19 (1980), pp. 219-249.

59. Extremal Self-Dual Lattices Exist Only in Dimensions 1-8, 12, 14, 15, 23 and 24, J. H. Conway, A. M. Odlyzko and N. J. A. Sloane, Mathematika, 25 (1978), pp. 36-43, A revised version appears as Chapter 19 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

60. On Pseudo-Random Arrays, J. H. van Lint, F. J. MacWilliams and N. J. A. Sloane, SIAM J. Appl. Math., 36 (1979), pp. 62-72.

61. Most Primitive Groups have Messy Invariants, W. C. Huffman and N. J. A. Sloane, Advances in Math., 32 (1979), pp. 118-127.

62. Systematic Errors in Hadamard Transform Optics, N. J. A. Sloane, M. Harwit and M. H. Tai, Applied Optics, 17 (1978), pp. 2991-3002.

63. Multiplexing Methods in Spectroscopy, N. J. A. Sloane, Mathematics Magazine, 52 (1979), pp. 71-80.

64. Self-Dual Codes and Lattices, N. J. A. Sloane, Relations Between Combinatorics and Other Parts of Mathematics., Proc. Symp. Pure Math., Vol. 34, American Mathematical Society, Providence, RI, 1979, pp. 273-308.

65. Self-Dual Codes over GF(3) and GF(4) of Length Not Exceeding 16, J. H. Conway, V. Pless and N. J. A. Sloane, IEEE Trans. Information Theory, IT-25 (1979), pp. 312-322.

66. New Bounds on the Number of Unit Spheres That Can Touch a Unit Sphere in n Dimensions, A. M. Odlyzko and N. J. A. Sloane, J. Combinatorial Theory, Series A, 26 (1979), pp. 210-214, A revised version appears as Chapter 13 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

67. Hadamard Transform Optics, M. Harwit and N. J. A. Sloane, Academic Press, NY, 1979, 249 pp, ISBN 0-12-330050-9.

68. Lower Bounds for Constant Weight Codes, R. L. Graham and N. J. A. Sloane, IEEE Trans. Information Theory, IT-26 (1980), pp. 37-43.

69. Ternary Codes of Minimum Weight 6, and the Classification of Self-Dual Codes of Length 20, V. Pless, N. J. A. Sloane and H. N. Ward, IEEE Trans. Information Theory, IT-26 (1980), pp. 305-316.

70. Error-Correcting Codes and Cryptography, N. J. A. Sloane, The Mathematical Gardner, D. A. Klarner (editor), Prindle, Weber & Schmidt, Boston, MA, 1981, pp. 346-382, Reprinted in ``Cryptologia'', Vol. 6 (1982), 128-153 and 258-278.

71. Uniqueness of Certain Spherical Codes, E. Bannai and N. J. A. Sloane, Canad. J. Math., 33 (1981), pp. 437-449, A revised version appears as Chapter 14 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

72. On Constant Weight Codes and Harmonious Graphs, R. L. Graham and N. J. A. Sloane, Proceedings West Coast Conference on Combinatorics, Graph Theory and Computing, September 1979, Utilitas Math. Pub. Co., Winnipeg, 1980, pp. 25-40.

73. On Additive Bases and Harmonious Graphs, R. L. Graham and N. J. A. Sloane, SIAM J. Algebraic and Discrete Methods, 1 (1980), pp. 382-404.

74. The Nonexistence of a Certain Steiner System S(3,12,112), N. J. A. Sloane and J. G. Thompson, J. Combinatorial Theory, Series A, 30 (1981), pp. 209-236.

75. A Note on the Leech Lattice as a Code for the Gaussian Channel, N. J. A. Sloane, Information and Control, 46 (1980), pp. 270-272.

76. On Ternary Self-Dual Codes of Length 24, J. S. Leon, V. Pless and N. J. A. Sloane, IEEE Trans. Information Theory, IT-27 (1981), pp. 176-180.

77. Tables of Sphere Packings and Spherical Codes, N. J. A. Sloane, IEEE Trans. Information Theory, IT-27 (1981), pp. 327-338.

78. On Exceptions of Integral Quadratic Forms, A. M. Odlyzko and N. J. A. Sloane, J. Reine Angew. Math., 321 (1981), pp. 212-216.

79. Carbon-13 Nuclear Magnetic Resonance Study of the Hydrolysis of Bisphenol A Polycarbonate, F. C. Schilling, W. M. Ringo, Jr., N. J. A. Sloane and F. A. Bovey, Macromolecules, 14 (1980), pp. 532-537.

80. Weight Enumerators of Self-Orthogonal Codes Over GF(3), C. L. Mallows and N. J. A. Sloane, SIAM J. Algebraic and Discrete Methods, 2 (1981), pp. 452-460.

81. On the Enumeration of Lattices of Determinant One, J. H. Conway and N. J. A. Sloane, J. Number Theory, 15 (1982), pp. 83-94.

82. Voronoi Regions of Lattices, Second Moments of Polytopes, and Quantization, J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-28 (1982), pp. 211-226, A revised version appears as Chapter 21 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988 Reprinted in ``Vector Quantization'', H. Abut, Ed., IEEE Press, NY, 1990, pp. 118-133..

83. Fast Quantizing and Decoding Algorithms for Lattice Quantizers and Codes, J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-28 (1982), pp. 227-232, Reprinted in ``Vector Quantization'', H. Abut, Ed., IEEE Press, NY, 1990, pp. 134-139.

84. Designing an Auditing Procedure, or How to Keep Bank Managers on Their Toes, C. L. Mallows and N. J. A. Sloane, Mathematics Magazine, 57 (1984), pp. 142-151.

85. Hadamard and Other Discrete Transforms in Spectroscopy, N. J. A. Sloane, Fourier, Hadamard and Hilbert Transforms in Chemistry, A. G. Marshall (editor), Plenum Publishing Co., NY, 1982, pp. 45-67.

86. Twenty-Three Constructions for the Leech Lattice, J. H. Conway and N. J. A. Sloane, Proc. Roy. Soc. London, Series A, 381 (1982), pp. 275-283, A revised version appears as Chapter 24 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

87. The Covering Radius of the Leech Lattice, J. H. Conway, R. A. Parker and N. J. A. Sloane, Proc. Roy. Soc. London, Series A, 380 (1982), pp. 261-290, A revised version appears as Chapter 23 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

88. The Detection of Long Error Bursts During Transmission of Video Signals, K. Janac and N. J. A. Sloane, Bell Sys. Tech. J., 61 (1982), pp. 1911-1917.

89. Self-Dual Codes Over GF(5), J. S. Leon, V. Pless and N. J. A. Sloane, J. Combinatorial Theory, Series A, 32 (1982), pp. 178-194.

90. Recent Bounds for Sphere Packings and Related Problems Obtained by Linear Programming and Other Methods, N. J. A. Sloane, Papers in Analysis, Algebra and Statistics, Contemporary Math., Vol. 9, R. Lidl (editor), Amer. Math. Soc., Providence, RI, 1982, pp. 153-185, A revised version appears as Chapter 9 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

91. Lorentzian Forms for the Leech Lattice, J. H. Conway and N. J. A. Sloane, Bull. Amer. Math. Soc., 6 (1982), pp. 215-217, A revised version appears as Chapter 26 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

92. On a Problem of Ryskov Concerning Lattice Coverings, R. P. Bambah and N. J. A. Sloane, Acta Arithmetica, 42 (1982), pp. 107-109.

93. Fast 4- and 8-Dimensional Quantizers and Decoders, J. H. Conway and N. J. A. Sloane, National Telecomm. Conf. Record - 1981, IEEE Press, NY, 3 (1981), pp. F4.2.1-F4.2.4.

94. A Theta-Function Identity for Nonlattice Packings, A. M. Odlyzko and N. J. A. Sloane, Studia Scient. Math. Hungarica, 5 (1980), pp. 461-465.

95. Laminated Lattices, J. H. Conway and N. J. A. Sloane, Annals of Math., 116 (1982), pp. 593-620, A revised version appears as Chapter 6 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

96. New Lattice Packings of Spheres, E. S. Barnes and N. J. A. Sloane, Canad. J. Math., 35 (1983), pp. 117-130.

97. The Optimal Lattice Quantizer in Three Dimensions [Abstract, pdf, ps], E. S. Barnes and N. J. A. Sloane, SIAM J. Algebraic Discrete Methods, 4 (1983), pp. 30-41.

98. Cyclic Self-Dual Codes [Abstract, pdf, ps], N. J. A. Sloane and J. G. Thompson, IEEE Trans. Information Theory, IT-29 (1983), pp. 364-366.

99. A Monster Lie Algebra? [postscript, pdf, latex], R. E. Borcherds, J. H. Conway, L. Queen and N. J. A. Sloane, Advances in Math., 53 (1984), pp. 75-79, A revised version appears as Chapter 30 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

100. Leech Roots and Vinberg Groups, J. H. Conway and N. J. A. Sloane, Proc. Roy. Soc. London, Series A, 384 (1982), pp. 233-258, A revised version appears as Chapter 28 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.

101. A Statistical Theory of Directional Isomerism in Polymer Chains and Its Applications to Polyvinylidene Fluoride, R. E. Cais and N. J. A. Sloane, Polymer, 24 (1983), pp. 179-187.

102. The Unimodular Lattices of Dimension up to 23 and the Minkowski-Siegel Mass Constants, J. H. Conway and N. J. A. Sloane, European J. Combinatorics, 3 (1982), pp. 219-231.

103. Further Lattice Packings in High Dimensions, A. Bos, J. H. Conway and N. J. A. Sloane, Mathematika, 29 (1982), pp. 171-180.

104. A Fast Encoding Method for Lattice Codes and Quantizers, J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-29 (1983), pp. 820-824.

105. Encrypting by Random Rotations, N. J. A. Sloane, in Cryptography: Proceedings of Workshop on Cryptography, Burg Feuerstein, Germany, March 29-April 1, 1982, Lecture Notes in Computer Science, Vol. 149, Springer-Verlag, NY, 1983, pp. 71-128.

106. Complex and Integral Laminated Lattices, J. H. Conway and N. J. A. Sloane, Trans. Amer. Math. Soc., 280 (1983), pp. 463-490.

107. The Coxeter-Todd Lattice, The Mitchell Group and Related Sphere Packings, J. H. Conway and N. J. A. Sloane, Math. Proc. Comb. Phil. Soc., 93 (1983), pp. 421-440.

108. On the Voronoi Regions of Certain Lattices, J. H. Conway and N. J. A. Sloane, SIAM J. Algebraic Discrete Methods, 5 (1984), pp. 294-305.

109. The Packing of Spheres, N. J. A. Sloane, Scientific American, 250 (January, 1984), pp. 116-125, Also ``Les Empilements de Spheres'', Pour la Science, Mars, 1984, pp. 44-55; ``Kugelpackungen im Raum'', Spektrum der Wissenschaft, March, 1984, pp. 120-131; ``Empaquetamiento de Esferas'', Investigacion y Ciencia, March 1984, pp. 88-99.

110. Anti-Hadamard Matrices, R. L. Graham and N. J. A. Sloane, Linear Algebra and Applications, 62 (1984), pp. 113-137.

111. Shift-Register Synthesis (Modulo m) J. A. Reeds and N. J. A. Sloane, SIAM J. Computing, 14 (1985), pp. 505-513.

112. On the Classification of Integral Quadratic Forms, J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, NY, Chapter 15, 1988, pp. 352-405.

113. Four-Dimensional Modulation with an Eight-State Trellis Code, A. R. Calderbank and N. J. A. Sloane, AT&T Tech. J., 64 (1985), pp. 1005-1018.

114. On the Covering Radius of Codes [postscript, pdf], [note: Fig. 1 , Fig. 2 , Fig. 3 , Fig. 4 , Fig. 5 , Fig. 6 are in separate files] R. L. Graham and N. J. A. Sloane, IEEE Trans. Information Theory, IT-31 (1985), pp. 385-401.

115. A Lower Bound on the Average Error of Vector Quantizers [Abstract, pdf, ps; for the figures see the files fig 1, fig 2, fig 3), J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-31 (1985), pp. 106-109.

116. Soft Decoding Techniques for Codes and Lattices, Including the Golay Code and the Leech Lattice [postscript, pdf], [note: Fig. 1 , Fig. 2 , are in separate files] J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-32 (1986), pp. 41-50.

117. Magic Numbers in Polygonal and Polyhedral Clusters, B. K. Teo and N. J. A. Sloane, Inorganic Chemistry, 24 (1985), pp. 4545-4558.

118. New Permutation Codes Using Hadamard Unscrambling, M. R. Schroeder and N. J. A. Sloane, IEEE Trans. Information Theory, IT-33 (1987), pp. 144-146.

119. Magic Numbers in Polygonal and Polyhedral Clusters, N. J. A. Sloane and B. K. Teo, J. Chem. Phys., 83 (1985), pp. 6520-6534.

120. The Covering Radius of Cyclic Codes of Length Up To 31, D. E. Downie and N. J. A. Sloane, IEEE Trans. Information Theory, IT-31 (1985), pp. 446-447.

121. New Trellis Codes Based on Lattices and Cosets [postscript, pdf], [note: Fig. 1 , Fig. 2 , Fig. 3 , Fig. 4 , Fig. 5 , Fig. 6 , Fig. 7 , Fig. 8 , Fig. 9 , Fig. 10 , Fig. 11 , Fig. 12 , Fig. 13 , Fig. 14 , Fig. 15 , Fig. 16 , Fig. 17 , Fig. 18 , Fig. 19 , are in separate files] A. R. Calderbank and N. J. A. Sloane, IEEE Trans. Information Theory, IT-33 (1987), pp. 177-195.

122. Lexicographic Codes: Error-Correcting Codes from Game Theory [postscript, pdf], [note: Fig. 1 , Fig. 2 , Fig. 3 are in separate files] J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-32 (1986), pp. 337-348.

123. A New Family of Codes for Dial-Up Voice Lines, A. R. Calderbank and N. J. A. Sloane, Proc. IEEE Conf. Global Commun. Globecom '84, IEEE Press, NY, 1984, pp. 673-676.

124. Recouvrements d'Espaces de Hamming Binaires, A. Lobstein, G. D. Cohen and N. J. A. Sloane, C. R. Acad. Sci. Paris, Série I, 301 (1985), 135-138.

125. Atomic Arrangements and Electronic Requirements for Close-Packed Circular and Spherical Clusters, B. K. Teo and N. J. A. Sloane, Inorganic Chemistry, 25 (1986), pp. 2315-2322.

126. Decoding Techniques for Multi-Dimensional Codes, J. H. Conway and N. J. A. Sloane, U. S. Patent No. 4,507,648, March 26, 1985.

127. Further Results on the Covering Radius of Codes, G. D. Cohen, A. C. Lobstein and N. J. A. Sloane, IEEE Trans. Information Theory, IT-32 (1986), pp. 680-694.

128. On a Conjecture Concerning Coverings of Hamming Space, G. D. Cohen, A. C. Lobstein and N. J. A. Sloane, Applied Algebra, Algorithmics and Error-Correcting Codes, Lecture Notes in Computer Science, A. Poli (editor), Springer-Verlag, NY, 228 (1986), pp. 79-90.

129. A New Approach to the Covering Radius of Codes, N. J. A. Sloane, J. Combinatorial Theory, Series A, 42 (1986), pp. 61-86.

130. Unsolved Problems Related to the Covering Radius of Codes [postscript, pdf], [note: Fig. 1 is in a in separate file] N. J. A. Sloane, Open Problems in Communication and Computation, T. M. Cover and B. Gopinath (editors), Springer-Verlag, NY, 1987, pp. 51-56.

131. My Friend MACSYMA, N. J. A. Sloane, Notices Amer. Math. Soc., 33 (1986), pp. 40-43 and 318.

132. An Eight-Dimensional Trellis Code, A. R. Calderbank and N. J. A. Sloane, Proc. IEEE, 74 (1986), pp. 757-759.

133. On the Covering Radius Problem for Codes: (I) Bounds on Normalized Covering Radius, K. E. Kilby and N. J. A. Sloane, SIAM J. Algebraic Discrete Methods, 8 (1987), pp. 604-618.

134. On the Covering Radius Problem for Codes: (II) Codes of Low Dimension; Normal and Abnormal Codes, K. E. Kilby and N. J. A. Sloane, SIAM J. Algebraic Discrete Methods, 8 (1987), pp. 619-627.

135. Sphere Packings, Lattices and Groups, J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988, Russian translation, 2 vols., published by Mir, Moscow, 1990.

136. An Improvement to the Minkowski-Hlawka Bound for Packing Superballs [postscript, pdf], [note: Fig. 1 is in a in separate file] J. A. Rush and N. J. A. Sloane, Mathematika, 34 (1987), pp. 8-18.

137. Theta-Series and Magic Numbers for Diamond and Certain Ionic Crystal Structures, N. J. A. Sloane, J. Math. Phys., 28 (1987), pp. 1653-1657.

138. Penny-Packing and Two-Dimensional Codes, R. L. Graham and N. J. A. Sloane, Discrete and Comput. Geom., 5 (1990), pp. 1-11.

139. Multi-Dimensional Coding For Error Reduction, A. R. Calderbank and N. J. A. Sloane, U. S. Patent No. 4,581,601, April 8, 1986.

140. The Solution to Berlekamp's Switching Game [postscript, pdf], [note: Fig. 1 , Fig. 4 , Fig. 7 are in separate files] P. C. Fishburn and N. J. A. Sloane, Discrete Math., 74 (1989), pp. 263-290.

141. Four Icosahedra Can Meet at a Point [postscript, pdf], [note: Fig. 1 , Fig. 2 , Fig. 3 are in separate files] H. Rossat and N. J. A. Sloane, Geometriae Dedicata, 27 (1988), pp. 219-222.

142. A Highly Symmetric Four-Dimensional Quasicrystal [postscript, pdf], V. Elser and N. J. A. Sloane, J. Phys. A., 20 (1987), pp. 6161-6168.

143. Low-Dimensional Lattices III: Perfect Forms, J. H. Conway and N. J. A. Sloane, Proc. Royal Soc. London, Series A, 418 (1988), pp. 43-80.

144. Low-Dimensional Lattices I: Quadratic Forms of Small Determinant [pdf, postscript], J. H. Conway and N. J. A. Sloane, Proc. Royal Soc. London, Series A, 418 (1988), pp. 17-41.

145. Inequalities for Covering Codes, A. R. Calderbank and N. J. A. Sloane, IEEE Trans. Information Theory, 34 (1988), pp. 1276-1280.

146. Low-Dimensional Lattices II: Subgroups of GL(n, Z), J. H. Conway and N. J. A. Sloane, Proc. Royal Soc. London, Series A, 419 (1988), pp. 29-68.

147. The Automorphism Group of an [18,9,8] Quaternary Code [postscript, pdf], [note: Fig. 1 , Fig. 2 , Fig. 3 are in separate files] Y. Cheng and N. J. A. Sloane, Discrete Math., 83 (1990), pp. 205-212.

148. Codes from Symmetry Groups and a [32,17,8] Code [postscript, pdf], [note: Fig. 1 , Fig. 2 , Fig. 4 and Fig. 5 are in separate files] Y. Cheng and N. J. A. Sloane, SIAM J. Discrete Math., 2 (1989), pp. 28-37.

149. A [45,13] Code with Minimal Distance 16 [postscript, pdf], [note: some figures are in a separate file] J. H. Conway, S. J. Lomonaco, Jr. and N. J. A. Sloane, Discrete Math., 83 (1990), pp. 213-217.

150. Low-Dimensional Lattices IV: The Mass Formula, [postscript, pdf], J. H. Conway and N. J. A. Sloane, Proc. Royal Soc. London, Series A, 419 (1988), pp. 259-286.

151. Low-Dimensional Lattices V: Integral Coordinates for Integral Lattices [postscript, pdf], J. H. Conway and N. J. A. Sloane, Proc. Royal Soc. London, Series A, 426 (1989), pp. 211-232.

152. Gray Codes for Reflection Groups, J. H. Conway, N. J. A. Sloane and A. R. Wilks, Graphs and Combinatorics, 5 (1989), pp. 315-325.

153. A New Table of Constant Weight Codes, A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, IEEE Trans. Information Theory, 36 (1990), pp. 1334-1380.

154. A Strengthening of the Assmus-Mattson Theorem [postscript, pdf], A. R. Calderbank, P. Delsarte and N. J. A. Sloane, IEEE Trans. Information Theory, 37 (1991), pp. 1261-1268.

155. Representation Theory, Group Rings, and Coding Theory: Papers in Honor of S. D. Berman, edited by I. M. Isaacs, A. I. Lichtman, D. S. Passman, S. K. Sehgal, N. J. A. Sloane and H. Zassenhaus, Amer. Math. Soc., Providence, RI, Contemporary Math., Vol. 93, 1989.

156. Orbit and Coset Analysis of the Golay and Related Codes, J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, 36 (1990), pp. 1038-1050.

157. A New Upper Bound for the Minimum of an Integral Lattice of Determinant One [postscript, pdf], J. H. Conway and N. J. A. Sloane, Bull. Amer. Math. Soc., 23 (1990), pp. 383-387, Erratum: volume 24 (April 1991), p. 479.

158. A New Upper Bound on the Minimal Distance of Self-Dual Codes [postscript, pdf], J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, 36 (1990), pp. 1319-1333.

159. Multi-Dimensional Coding for Error Reduction, A. R. Calderbank and N. J. A. Sloane, U. S. Patent RE33,041, August 29, 1989.

160. Unsolved Problems in Graph Theory Arising from the Study of Codes [postscript, pdf], N. J. A. Sloane, Graph Theory Notes of New York, 18 (1989), pp. 11-20.

161. Lattices with Few Distances [postscript, pdf], [note: some tables are in a separate file] J. H. Conway and N. J. A. Sloane, J. Number Theory, 39 (1991), pp. 75-90, Also DIMACS Technical Report 90-77, December 1990.

162. The Binary Self-Dual Codes of Length Up to 32: A Revised Enumeration [Abstract, postscript, pdf], [note: Table A and Table D are in separate files] J. H. Conway, V. Pless and N. J. A. Sloane, J. Combinatorial Theory, Series A, 60 (1992), pp. 183-195.

163. Papers in Honor of F. Jessie MacWilliams, N. J. A. Sloane, Special issue of IEEE Trans. Information Theory, Vol. 29, Number 3, May 1983.

164. The Cell Structures of Certain Lattices [postscript, pdf], [note: Fig. 1a , Fig. 1b , Fig. 2a , Fig. 2b , Fig. 3a , Fig. 3b , Fig. 4 , Fig. 5 , Fig. 6 , Fig. 7 , Fig. 8 , Fig. 9 , Fig. 10 , Fig. 11 , Fig. 12 , Fig. 13 , Fig. 14 , Fig. 15 , Fig. 16a , Fig. 16b , Fig. 17 , Fig. 18 , Fig. 19 , Fig. 20 , Fig. 21 , Fig. 22 , Fig. 23 , Fig. 24 , Fig. 25 , Fig. 26 , are in separate files] J. H. Conway and N. J. A. Sloane, Miscellanea mathematica, P. Hilton, F. Hirzebruch and R. Remmert (editors), Springer-Verlag, NY, 1991, pp. 71-107, Also DIMACS Technical Report 91-5, February 1991.

165. On the Covering Multiplicity of Lattices [postscript, pdf], [note: Fig. 1 , Fig. 2 and Fig. 4 are in separate files] J. H. Conway and N. J. A. Sloane, Discrete and Computational Geometry, 8 (1992), pp. 109-130.

166. Corrections to ``Sphere Packings, Lattices and Groups'', J. H. Conway and N. J. A. Sloane, Bell Laboratories, Murray Hill, NJ, Sept. 15, 1990.

167. Trellis Coding Arrangement, A. R. Calderbank and N. J. A. Sloane, U. S. Patent No. 4,939,555, July 3, 1990.

168. Self-Dual Codes over the Integers Modulo 4 [postscript, pdf], [note: Fig. 1 and Fig. 2 are in separate files] J. H. Conway and N. J. A. Sloane, J. Combinatorial Theory, Series A, 62 (1993), pp. 30-45.

169. Low-Dimensional Lattices VI: Voronoi Reduction of Three-Dimensional Lattices, [pdf, ps, troff source; the figures Fig. 1, Fig. 2, Fig. 3, Fig. 4, Fig. 5, Fig. 6, Fig. 7, Fig. 8 are in separate files], J. H. Conway and N. J. A. Sloane, Proc. Royal Soc. London, Series A, 436 (1992), pp. 55-68.

170. Computer-Generated Minimal (and Larger) Response Surface Designs: (I) The Sphere, R. H. Hardin and N. J. A. Sloane, 1991, Published electronically on my home page www.research.att.com/~njas/ [Abstract, pdf, ps].

171. Computer-Generated Minimal (and Larger) Response Surface Designs: (II) The Cube, R. H. Hardin and N. J. A. Sloane, 1991, Published electronically on my home page www.research.att.com/~njas/ [Abstract, pdf, ps].

172. Operating Manual for Gosset: A General Purpose Program for Designing Experiments [postscript, pdf], R. H. Hardin and N. J. A. Sloane, Statistics Research Report No. 98, AT&T Bell Laboratories, Murray Hill, NJ, November 15, 1991.

173. Four-Dimensional Lattices With the Same Theta Series [postscript, pdf], J. H. Conway and N. J. A. Sloane, Duke Math. J., 66 (International Mathematics Research Notices Number 4) (1992), pp. 93-96.

174. New Spherical 4-Designs [Abstract, postscript, pdf], R. H. Hardin and N. J. A. Sloane, Discrete Mathematics, 106/107 (1992), pp. 255-264, (Topics in Discrete Mathematics, vol. 7, "A Collection of Contributions in Honour of Jack Van Lint", ed. P. J. Cameron and H. C. A. van Tilborg, North-Holland, 1992).

175. A New Approach to the Construction of Optimal Designs [Abstract, postscript, pdf], R. H. Hardin and N. J. A. Sloane, J. Statistical Planning and Inference, 37 (1993), pp. 339-369, Also DIMACS Technical Report 93-47, August 1993.

176. Sphere Packings, Lattices and Groups (Second Edition), J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1993, 679 pp.

177. On Lattices Equivalent to Their Duals [Abstract, pdf, ps], J. H. Conway and N. J. A. Sloane, J. Number Theory, 48 (1994), pp. 373-382, Also DIMACS Technical Report 93-88, December 1993.

178. Claude Elwood Shannon: Collected Papers, N. J. A. Sloane and A. D. Wyner, IEEE Press, NY, 1993, 924 pp.

179. Covering Arrays and Intersecting Codes [postscript, pdf], N. J. A. Sloane, J. Combinatorial Designs, 1 (1993), pp. 51-63, Also DIMACS Technical Report 93-48, August 1993.

180. D4, E8, Leech and Certain Other Lattices are Symplectic [postscript, pdf], J. H. Conway and N. J. A. Sloane, Appendix to P. Buser and P. Sarnak, "On the Period Matrix of a Riemann Surface of Large Genus", Inventiones Math., vol. 117 (1994), pp. 27-56. Also DIMACS Technical Report 93-55, August 1993.

181. Operating Manual for Gosset: A General-Purpose Program for Constructing Experimental Designs (Second Edition) [postscript, pdf], R. H. Hardin and N. J. A. Sloane, Statistics Research Report No. 106, Bell Laboratories, Murray Hill, NJ, October, 1992. Also DIMACS Technical Report 93-51, August 1993.

182. A Linear Construction for Certain Kerdock and Preparata Codes [postscript, pdf, arXiv:math.CO/9310227], A. R. Calderbank, A. R. Hammons Jr., P. V. Kumar, N. J. A. Sloane and P. Sol\*'e, Bulletin Amer. Math. Soc., 29 (1993), pp. 218-222, Also DIMACS Technical Report 93-50, August 1993.

183. The Nordstrom-Robinson Code is the Binary Image of the Octacode [postscript, pdf], G. D. Forney, Jr., N. J. A. Sloane and M. D. Trott, Coding and Quantization: DIMACS / IEEE Workshop October 19-21, 1992, R. Calderbank, G. D. Forney, Jr. and N. Moayeri (editors), Amer. Math. Soc., 1993, pp. 19-26, Also DIMACS Technical Report 93-49, August 1993.

184. The Z4-Linearity of Kerdock, Preparata, Goethals and Related Codes [Abstract, postscript, pdf, arXiv:math.CO/0207208], A. R. Hammons Jr., P. V. Kumar, A. R. Calderbank, N. J. A. Sloane and P. Sol\*'e, IEEE Trans. Information Theory, 40 (1994), pp. 301-319, Also DIMACS Technical Report 93-52, August 1993.

185. Quaternary Constructions for the Binary Single-Error-Correcting Codes of Julin, Best and Others [postscript, pdf], J. H. Conway and N. J. A. Sloane, Designs, Codes and Cryptography, 4 (1994), pp. 31-42, Also DIMACS Technical Report 93-53, August 1993.

186. On the Apparent Duality of the Kerdock and Preparata Codes [postscript, pdf], A. R. Hammons Jr., P. V. Kumar, A. R. Calderbank, N. J. A. Sloane and P. Sol\*'e, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (Proceedings 10th International Symposium, AAECC-10, San Juan de Puerto Rico, May 1993); Lecture Notes in Computer Science, Vol. 673, G. Cohen, T. Mora and O. Moreno (editors), Springer-Verlag, NY, 1993.

187. Claude Elwood Shannon: Collected Papers, Supplementary Volume, N. J. A. Sloane and A. D. Wyner, 1993, Deposited in The Library of Congress, The British Library, and the libraries of M.I.T., Cornell, Univ. Mich. and AT&T Bell Laboratories.

188. Orthogonal Arrays: Theory and Applications, A. S. Hedayat, N. J. A. Sloane and J. Stufken, Springer-Verlag, NY, 1999.

189. Expressing (a^2 + b^2 + c^2 + d^2 )^2 as a Sum of 23 Sixth Powers [Abstract, postscript, pdf], R. H. Hardin and N. J. A. Sloane, Journal of Combinatorial Theory, Series A, 68 (1994), pp. 481-485, Also DIMACS Technical Report 93-54, August 1993.

190. Optimization of Resist Formulation and Processing with Disulfone Photo Acid Generators Using Design of Experiments, O. Nalamasu, A. Freeny, E. Reichmanis, N. J. A. Sloane and L. F. Thompson, AT&T Bell Labs Memorandum, 1993.

191. Modular and p-Adic Cyclic Codes [arXiv:math.CO/0311319], A. R. Calderbank and N. J. A. Sloane, Designs, Codes and Cryptography, 6 (1995), pp. 21-35.

192. A Lattice Without a Basis of Minimal Vectors [postscript, pdf], J. H. Conway and N. J. A. Sloane, Mathematika, 42 (1995), pp. 175-177.

193. Minimal-Energy Clusters of Hard Spheres [Abstract, postscript, pdf], [note: Fig. 11 , Fig. 12 and "photos" of the putatively optimal clusters of 4 to 10 and 13 to 20 spheres are in separate files] N. J. A. Sloane, R. H. Hardin, T. S. Duff and J. H. Conway, Discrete Computational Geom., 14 (1995), pp. 237-259.

194. What Are All the Best Sphere Packings in Low Dimensions? [postscript, pdf], J. H. Conway and N. J. A. Sloane, Discrete and Computational Geometry (Laszlo Fejes Toth Festschrift), 13 (1995), pp. 383-403.

195. Algebraic Coding Theory: Recent Developments Related to the Integers Mod 4 [postscript, pdf], N. J. A. Sloane, Study of Algebraic Combinatorics (Proceedings Conference on Algebraic Combinatorics, Kyoto 1993), Research Institute for Mathematical Sciences, Kyoto, 1995, pp. 38-52.

196. The On-Line Encyclopedia of Integer Sequences, N. J. A. Sloane, 1994, Accessible electronically by sending mail to sequences@research.att.com or at the URL http://www.research.att.com/~njas/sequences/.

197. An On-Line Version of the Encyclopedia of Integer Sequences, Feature #F1 in Volume 1 (1994) of The Electronic Journal of Combinatorics.
198. Notes on "Gosset", A General-Purpose Program for Experimental Design: Features and Applications, R. H. Hardin and N. J. A. Sloane, Proc. Internat. Conf. on Statistics in Industry, Science and Technology, Tokyo, 1994, pp. 346-350.

199. Some Canonical Sequences of Integers [Abstract, postscript, pdf, arXiv:math.CO/0205301], M. Bernstein and N. J. A. Sloane, Linear Algebra and its Applications, 226-228 (1995), pp. 57-72, Erratum: volume 320 (2000), 210.

200. The Antipode Construction for Sphere Packings [Abstract, postscript, pdf, arXiv:math.CO/0207182], J. H. Conway and N. J. A. Sloane, Inventiones mathematica, 123 (1996), pp. 309-313.

201. On Sublattices of the Hexagonal Lattice [Abstract, postscript, pdf], M. Bernstein, N. J. A. Sloane and P. E. Wright, Discrete Math., 170 (1997), pp. 29-39.

202. The Encyclopedia of Integer Sequences, N. J. A. Sloane and S. Plouffe, Academic Press, San Diego, 1995, 587 pp.

203. Codes (Spherical) and Designs (Experimental) [pdf of body of paper, pdf of references], R. H. Hardin and N. J. A. Sloane, Different Aspects of Coding Theory, ed. A. R. Calderbank, AMS Series Proceedings Symposia Applied Math., Vol. 50, 1995, pp. 179-206.

204. McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions [Abstract, postscript, pdf, arXiv:math.CO/0207211], R. H. Hardin and N. J. A. Sloane, Discrete and Computational Geometry, 15 (1996), pp. 429-441.

205. Integer Sequences [postscript, pdf], N. J. A. Sloane, CRC Standard Mathematical Tables and Formulae, D. Zwilliger (editor), CRC Press, Boca Raton, FL, 1996, pp. 23-29.

206. Delivery of Medical Services Using Electronic Data Communications, N. J. A. Sloane, U. S. Patent No. 5,619,991, Apr 15, 1997.

207. Method Using Central Epidemiological Database, N. J. A. Sloane, U. S. Patent No. 5,911,132, Jun 08, 1999.

208. A Linear Programming Bound for Orthogonal Arrays with Mixed Levels [postscript, pdf], N. J. A. Sloane and J. Stufken, J. Statistical Planning and Inference, 56 (1996), pp. 295-306.

209. Double Circulant Codes over Z4 and Even Unimodular Lattices [Abstract, postscript, pdf], A. R. Calderbank and N. J. A. Sloane, J. Algebraic Combinatorics, 6 (1997), pp. 119-131.

210. Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites [postscript, pdf], R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Color poster, Sixteenth European Crystallographic Meeting, Lund, Sweden, August 6-11, 1995.

211. A New Operation on Sequences: The Boustrophedon Transform [Abstract, postscript, pdf, arXiv:math.CO/0205218], J. Millar, N. J. A. Sloane and N. E. Young, J. Combinatorial Theory, Series A, 76 (1996), pp. 44-54.

212. Climbing Guide to New Jersey Crags, P. Nick and N. J. A. Sloane, Chockstone Press, Evergreen, CO (ISBN: 1-57540-032-4), 1996.

213. The Primary Pretenders [Abstract, postscript, pdf, arXiv:math.NT/0207180], J. H. Conway, R. K. Guy, W. A. Schneeberger and N. J. A. Sloane, Acta Arithmetica, 78 (1997), pp. 307-313.

214. The Ternary Golay Code, the Integers Mod 9 and the Coxeter-Todd Lattice. [postscript, pdf; correction: postscript, pdf], A. R. Calderbank and N. J. A. Sloane, IEEE Trans. Inform. Theory, 42 (1996), pp. 636-637, Erratum: vol. 49 (Jan. 2003), page 347. Unfortunately this paper is wrong: the lattice is not K_12.

215. Packing Lines, Planes, etc.: Packings in Grassmannian Space [Abstract, postscript, pdf, arXiv:math.CO/0208004], J. H. Conway, R. H. Hardin and N. J. A. Sloane, Experimental Math., 5 (1996), pp. 139-159.

216. Kugelpackungen im Raum, N. J. A. Sloane, Moderne Mathematik, G. Faltings (editor), Spektrum Akademischer Verlag, Heidelberg, Germany, 1996, pp. 112-123, (German translation of Item 109, with a new introduction).

217. Efficient Regression Verification [postscript, pdf], R. H. Hardin, R. P. Kurshan, K. L. McMillan, J. A. Reeds and N. J. A. Sloane, Internat. Workshop on Discrete Event Systems (WODES '96), 19-21 August , Edinburgh, IEE, London, 1996, pp. 147-150.

218. Some Lattices Obtained from Riemann Surfaces [postscript, pdf], M. Bernstein and N. J. A. Sloane, Extremal Riemann Surfaces (Contemporary Math. Vol. 201), J. R. Quine and P. Sarnak (editors), Amer. Math. Soc., Providence, RI, 1997, pp. 29-32.

219. Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Acta Cryst., A52 (1996), pp. 879-889.

220. Low-Dimensional Lattices VII: Coordination Sequences [Abstract, postscript, pdf], J. H. Conway and N. J. A. Sloane, Proc. Royal Soc. London, Series A, 453 (1997), pp. 2369-2389.

221. A Family of Optimal Packings in Grassmannian Manifolds [postscript, pdf, arXiv:math.CO/0208003], P. W. Shor and N. J. A. Sloane, J. Algebraic Combinatorics, 7 (1998), pp. 157-163.

222. Quantum Error Correction and Orthogonal Geometry [postscript, pdf, arXiv:quant-ph/9605005], A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane, Phys. Rev. Letters, 78 (1997), pp. 405-409.

223. Quantum Error Correction Via Codes Over GF(4) [postscript, pdf, arXiv:quant-ph/9608006], A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane, IEEE Trans. Information Theory, 44 (1998), pp. 1369-1387.

224. Updated Tables of Parameters of (T,M,S)-Nets [postscript, pdf], A. T. Clayman, K. M. Lawrence, G. L. Mullen, H. Niederreiter and N. J. A. Sloane, J. Combinatorial Designs, 7 (1999), pp. 381-393, (for the full tables see the JCD web site located at http://www.emba.uvm.edu/~colbourn/jcd/T-table-base2.html).

225. Proposal for an Internet Service: The Eternal Home Page, N. J. A. Sloane, AT&T Labs - Research, Murray Hill, NJ, Dec 12 1996, Available electronically from http://www.research.att.com/~njas/doc/eternal.html.

226. Bounds on Mixed Binary/Ternary Codes [postscript, pdf], A. E. Brouwer, H. O. Hamalainen, P. R. J. Ostergard and N. J. A. Sloane, IEEE Trans. Information Theory, 44 (1998), pp. 140-161.

227. A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces [postscript, pdf, arXiv:math.CO/0208002], A. R. Calderbank, R. H. Hardin, E. M. Rains, P. W. Shor and N. J. A. Sloane, J. Algebraic Combinatorics, 9 (1999), pp. 129-140.

228. A Nonadditive Quantum Code [postscript, pdf, arXiv:quant-ph/9703002], E. M. Rains, R. H. Hardin, P. W. Shor and N. J. A. Sloane, Phys. Rev. Letters, 79 (1997), pp. 953-954.

229. Self-Dual Codes [Abstract, postscript, pdf, arXiv:math.CO/0208001], E. M. Rains and N. J. A. Sloane, Handbook of Coding Theory, V. S. Pless and W. C. Huffman (editors), Elsevier, Amsterdam, 1998, pp. 177-294.

230. Interview with Neil Sloane, A. R. Calderbank and N. J. A. Sloane, IEEE Information Theory Society Newsletter, 47 (number 4) (December 1997), pp. 3-4, 35-37.

231. The Shadow Theory of Modular and Unimodular Lattices [arXiv:math.CO/0207294], E. M. Rains and N. J. A. Sloane, J. Number Theory, 73 (1998), pp. 359-389.

232. A Note on Optimal Unimodular Lattices [postscript, pdf, arXiv:math.CO/0207292], J. H. Conway and N. J. A. Sloane, J. Number Theory, 72 (1998), pp. 357-362.

233. A Catalogue of Lattices, G. Nebe and N. J. A. Sloane, Published electronically at http://www.research.att.com/~njas/lattices/.

234. Sphere Packings, Lattices and Groups (Third Edition) [postscript, pdf], J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1998.

235. Packing Planes in Four Dimensions and Other Mysteries [postscript, pdf, arXiv:math.CO/0208017], N. J. A. Sloane, Algebraic Combinatorics and Related Topics (Yamagata 1997), E. Bannai, M. Harada and M. Ozeki (editors), Yamagata University, Faculty of Science, Department of Mathematics, 1999.

236. On Kissing Numbers in Dimensions 32 to 128 [Abstract, postscript, pdf, arXiv:math.CO/0207291], Y. Edel, E. M. Rains and N. J. A. Sloane, Elect. J. Combinatorics 5(1), paper R22 (1998).
237. The Sphere Packing Problem [postscript, pdf, arXiv:math.CO/0207256], N. J. A. Sloane, Proceedings Internat. Congress Math. Berlin 1998, Documenta Mathematika, III (1998), pp. 387-396.

238. Kepler's Conjecture Confirmed [postscript, pdf], N. J. A. Sloane, Nature, 395 (October 1, 1998), pp. 435-436.

239. On the Existence of Similar Sublattices [Abstract, postscript, pdf, arXiv:math.CO/0207177], J. H. Conway, E. M. Rains and N. J. A. Sloane, Canad. J. Math., 51 (1999), pp. 1300-1306.

240. On Cayley's Enumeration of Alkanes (or 4-Valent Trees) [arXiv:math.CO/0207176], E. M. Rains and N. J. A. Sloane, Journal of Integer Sequences, Vol. 2 (1999), #99.1.1.

241. My Favorite Integer Sequences [Abstract, pdf, postscript, latex, arXiv:math.CO/0207175], N. J. A. Sloane, Sequences and their Applications (Proceedings of SETA '98), C. Ding, T. Helleseth and H. Niederreiter (editors), Springer-Verlag, London, 1999, pp. 103-130.

242. Integer Sequences, On-Line Encyclopedia of [postscript, pdf], N. J. A. Sloane, Encyclopedia of Computer Science (4th edition), A. Ralston, E. D. Reilly and D. Hemmendinger (editors), Nature Publishing Group, 2000, pp. 891-892.

243. Multiple Description Lattice Vector Quantization [ps, further details], S. D. Servetto, V. A. Vaishampayan and N. J. A. Sloane, Proceedings DCC '99: Data Compression Conference (Snowbird, 1999), J. A. Storer and M. Cohn (editors), IEEE Computer Society, Los Alamitos, CA, 1999, pp. 13-22.

244. The Lattice of N-Run Orthogonal Arrays [Abstract, pdf, postscript, arXiv:math.CO/0205299], E. M. Rains, N. J. A. Sloane and J. Stufken, J. Statistical Planning and Inference, 102 (2002), pp. 477-500.

245. Asymptotic Performance of Multiple Description Lattice Quantization [Abstract, pdf, postscript], V. A. Vaishampayan, N. J. A. Sloane and S. D. Servetto, Proceedings ISIT-2000, IEEE Information Theory Society, 2000, page 175.

246. Multiple Description Vector Quantization with Lattice Codebooks: Design and Analysis, [Abstract, pdf, postscript, arXiv:math.CO/0207289], V. A. Vaishampayan, N. J. A. Sloane and S. D. Servetto, IEEE Trans. Information Theory, 47 (2001), pp. 1718-1734.

247. Interleaver Design for Short Block Length Turbo Codes, [pdf, ps], H. R. Sadjapour, M. Salehi, N. J. A. Sloane and G. Nebe, Proceedings ICC-2000, 2000.

248. Interleaver Design for Turbo Codes [ps], H. R. Sadjapour, N. J. A. Sloane, M. Salehi and G. Nebe, Proceedings ISIT-2000, 2000, page 453.

249. The Invariants of the Clifford Groups [Abstract, pdf, postscript, arXiv:math.CO/0001038], G. Nebe, E. M. Rains and N. J. A. Sloane, Designs, Codes and Cryptography, 24 (2001), pp. 99-121.

250. On Single-Deletion-Correcting Codes [Abstract, pdf, postscript, arXiv:math.CO/0207197], N. J. A. Sloane, Codes and Designs, Ohio State University, May 2000 (Ray-Chaudhuri Festschrift), K. T. Arasu and A. Seress (editors), Walter de Gruyter, Berlin, 2002, pp. 273-291.

251. Design of Asymmetric Multiple Description Lattice Vector Quantizers [Abstract, pdf, ps], S. N. Diggavi, N. J. A. Sloane and V. A. Vaishampayan, Proceedings DCC 2000: Data Compression Conference (Snowbird, 2000), J. A. Storer and M. Cohn (editors), IEEE Computer Society, Los Alamitos, CA, 2000, pp. 490-499.

252. Rock Climbing New Jersey, P. Nick and N. J. A. Sloane, Falcon Press, Helena, MT (ISBN: 1-56044-790-7), 2000.

253. A Simple Construction for the Barnes-Wall Lattices [Abstract, pdf, postscript, arXiv:math.CO/0207186], G. Nebe, E. M. Rains and N. J. A. Sloane, Codes, Graphs, and Systems: A Celebration of the Life and Career of G. David Forney, Jr. on the Occasion of his Sixtieth Birthday, R. E. Blahut and R. Koetter (editors), Kluwer, 2002, pp. 333-342.

254. Challenge Problems: Independent Sets in Graphs, N. J. A. Sloane, 2000, Published electronically at http://www.research.att.com/~njas/doc/graphs.html.

255. Interleaver Design for Turbo Codes [pdf, ps, arXiv:math.CO/0207209], H. R. Sadjapour, N. J. A. Sloane, M. Salehi and G. Nebe, IEEE Journal on Selected Areas in Communications, 19 (2001), pp. 831-837.

256. Asymmetric Multiple Description Lattice Vector Quantizers [Abstract, pdf, ps, arXiv:math.CO/0207184], S. N. Diggavi, N. J. A. Sloane and V. A. Vaishampayan, IEEE Trans. Information Theory, 48 (2002), pp. 174-191.

257. Claude Shannon (1916-2001), A. R. Calderbank and N. J. A. Sloane, Nature, 410 (April 12, 2001), page 768.

258. Quantizing Using Lattice Intersections [Abstract, pdf, ps, arXiv:math.CO/0207147], N. J. A. Sloane and B. Beferull-Lozano, Discrete and Computational Geometry (The Goodman-Pollack Festschrift), B. Aronov, S. Basu, J. Pach and M. Sharir (editors), Springer-Verlag, NY, 2003, pp. 799-824.

259. A Zador-Like Formula for Quantizers Based on Periodic Tilings [Abstract, pdf, ps, arXiv:math.CO/0207146], N. J. A. Sloane and V. A. Vaishampayan, IEEE Trans. Information Theory, 48 (2002), pp. 3138-3140.

260. The EKG Sequence [Abstract, pdf, ps, arXiv:math.NT/0204011], J. C. Lagarias, E. M. Rains and N. J. A. Sloane, Experimental Math., 11 (2002), pp. 437-446.

261. On Asymmetric Coverings and Covering Numbers [Abstract, pdf, ps, arXiv:math.CO/0205303], D. Applegate, E. M. Rains and N. J. A. Sloane, J. Combinatorial Designs, 11 (2003), pp. 218-228.

262. Dynamical Systems, Curves and Coding for Continuous Alphabet Sources, V. A. Vaishampayan, N. J. A. Sloane and S. I. R. Costa, Proceedings Information Theory Workshop, Bangladore, India, 2002.

263. Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes [arXiv:math.NT/0311289], G. Nebe, H.-G. Quebbemann, E. M. Rains and N. J. A. Sloane, Finite Fields Applic., 10 (2004), pp. 540-550.

264. Two Stage S-Random Interleaver, H. R. Sadjapour, M. Salehi and N. J. A. Sloane, U. S. Patent No. 6,453,442, Sep 17, 2002.

265. Codes and Invariant Theory [arXiv:math.NT/0311046], G. Nebe, E. M. Rains and N. J. A. Sloane, Math. Nachrichten, 274-275 (2004), pp. 104-116.

266. The On-Line Encyclopedia of Integer Sequences [arXiv:math.CO/0312448], N. J. A. Sloane, Notices Amer. Math. Soc., 50 (September 2003), pp. 912-915.

267. Spherical Designs in Four Dimensions (Extended Abstract) [Abstract, pdf, ps], N. J. A. Sloane, R. H. Hardin and P. Cara, Proceedings Information Theory Workshop (Paris, April 2003), IEEE Press, 2003, pp. 253-257.

268. Multiple Description Lattice Vector Quantization, S. D. Servetto, N. J. A. Sloane and V. A. Vaishampayan, U. S. Patent No. 6,516,297 Feb 04 2003.

269. Numerical Analogues of Aronson's Sequence [arXiv:math.NT/0305308], B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Journal of Integer Sequences, Vol. 6 (2003), #03.2.2.

270. The On-Line Encyclopedia of Integer Sequences, N. J. A. Sloane, 2003, One-page handout for "Take Our Children To Work" [pdf, ps].

271. The Number of Hierarchical Orderings [Abstract, pdf, ps, arXiv:math.CO/0307064], N. J. A. Sloane and T. Wieder, Order, 21 (2004), pp. 83-89.

272. Review of George Szpiro's book "Kepler's Conjecture: How some of the greatest minds in history helped solve one of the oldest math problems in the world" [pdf, ps], N. J. A. Sloane, Nature, 425, Number 6954 (11 September 2003), pp. 126-127.

273. Approximate Squaring [arXiv:math.NT/0309389], J. C. Lagarias and N. J. A. Sloane, Experimental Math., 13, Number 1 (2004), pp. 113-128.

274. Acyclic Digraphs and Eigenvalues of (0,1)-Matrices [arXiv:math.CO/0310423], B. D. McKay, F. E. Oggier, N. J. A. Sloane, G. F. Royle, I. M. Wanless and H. S. Wilf, Journal of Integer Sequences, 7 (#04.3.3) (2004).

275. Nonintersecting Subspaces Based on Finite Alphabets [arXiv:math.CO/0312467], F. E. Oggier, N. J. A. Sloane, S. N. Diggavi and A. R. Calderbank, IEEE Trans. Information Theory, 51 (2005), pp. 4320-4325.

276. On Non-Squashing Partitions [arXiv:math.CO/0312418], N. J. A. Sloane and J. A. Sellers, Discrete Math., 294 (2005), pp. 259-274.

277. Recent progress in sphere packing, J. H. Conway, C. Goodman-Strauss and N. J. A. Sloane, Current Developments in Mathematics (Cambridge, MA, 1999), B. Mazur, W. Schmid, S. T. Yau, D. Jerison, I. Singer and D. Stroock (editors), International Press, Somerville, MA, 1999, pp. 37-76.

278. Problem 10927: The EKG Sequence, J. C. Lagarias, E. M. Rains and N. J. A. Sloane, Amer. Math. Monthly, 111:2 (2004), pp. 167-168.

279. A Slow-Growing Sequence Defined by an Unusual Recurrence [arXiv:math.NT/0602498], Fokko J. van de Bult, Dion C. Gijswijt, John P. Linderman, N. J. A. Sloane and Allan R. Wilks, Journal of Integer Sequences, Vol. 10 (2007), #07.1.2.

280. Constant Weight Codes: A Geometric Approach, C. Tian, V. A. Vaishampayan and N. J. A. Sloane, Proceedings International Symposium on Information Theory (ISIT), 2005, IEEE, 2005, pp. 249-253.

281. A Novel Approach for Encoding Data into Constant Weight Codes, C. Tian, V. A. Vaishampayan and N. J. A. Sloane, 2005, Patent applied for.

282. Sloping Binary Numbers: A New Sequence Related to the Binary Numbers [arXiv:math.NT/0505295], David Applegate, Benoit Cloitre, Philippe Del\*'eham and N. J. A. Sloane, J. Integer Sequences, 8 (#05.3.6) (2005).

283. Self-Dual Codes and Invariant Theory, G. Nebe, E. M. Rains and N. J. A. Sloane, Springer-Verlag, Heidelberg, 2006, ISBN 3-540-30729-x.

284. On the Integrality of n-th Roots of Generating Functions [arXiv:math.NT/0509316], Nadia Heninger, E. M. Rains and N. J. A. Sloane, Jnl. Combinatorial Theory, Series A, 113 (2006), pp. 1732-1745.

285. Seven Staggering Sequences [pdf], N. J. A. Sloane, in Homage to a Pied Puzzler, A. K. Peters, Wellesley, MA, 2008, to appear. [A short version appeared in the Gift Book for the Seventh Gathering for Gardner.]
286. Poster: Integer Sequences Related to Chemistry, N. J. A. Sloane and Parthasarathy Nambi, Poster presented at the Amer. Chem. Soc. National Meeting, San Francisco, Fall 2006.

287. Dissections and Constant Weight Codes, V. A. Vaishampayan and N. J. A. Sloane, 2006.

288. Descending Dungeons, Marc LeBrun, David Applegate and N. J. A. Sloane, Amer. Math. Monthly, Problem 11286, Vol. 114 (No. 4, 2007), p. 358 [pdf, ps].

289. Gleason's Theorem on Self-Dual Codes and its Generalizations [arXiv:math.CO/0612535], N. J. A. Sloane, in Algebraic Combinatorics: An International Conference in Honor of Eiichi Bannai's 60th Birthday, edited by A. Munemasa et al., Sendai International Center, Japan, June 26-30, 2006; pp. 151-169.

290. Descending Dungeons and Iterated Base-Changing [arXiv:math.NT/0611293], David Applegate, Marc LeBrun and N. J. A. Sloane, in "Papers in Honor of Peter Fishburn", edited by Steve Brams, Bill Gehrlein and Fred Roberts, 2007, to appear.

291. The Optimal Isodual Lattice Quantizer in Three Dimensions [arXiv:math.NT/0701080], J. H. Conway and N. J. A. Sloane, Advances in Math. of Commun., Vol. 1, No. 2 (2007), 257-260.

292. Constant Weight Codes: A Geometric Approach Based on Dissections [arXiv:0706.1217], Chao Tian, Vinay A. Vaishampayan and N. J. A. Sloane, to appear, 2007.

293. Constant Weight Coding of Signals Based on Conjugate Dissections, N. J. A. Sloane and V. A. Vaishampayan, 2007, Patent applied for.

294. Generalizations of Schöbi's Tetrahedral Dissection, N. J. A. Sloane and Vinay A. Vaishampayan, 2007 (submitted).

295. Eight Hateful Sequences [pdf], N. J. A. Sloane, (submitted), 2008.

See also: My home page