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Search: id:A085517
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| A085517 |
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Weight enumerator of [16,7,6] extended BCH code. |
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+0
4
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OFFSET
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0,4
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COMMENT
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One of the three possible weight distributions for a [16,7,6] binary code.
The interspersed zeros have been omitted.
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REFERENCES
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F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978.
J. Simonis, Codes and semilinear spaces, pp. 518-528 of A. Barlotti et al., eds., Combinatorics `90, North-Holland 1992.
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LINKS
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N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
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EXAMPLE
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x^16 + 48*x^10*y^6 + 30*x^8*y^8 + 48*x^6*y^10 + y^16.
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PROGRAM
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(MAGMA) C := BCHCode(GF(2), 15, 5); D:=ExtendCode(C); W<x, y>:=WeightEnumerator(D);
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CROSSREFS
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Cf. A085518, A085519, A109475.
Sequence in context: A128380 A094658 A136455 this_sequence A033694 A121377 A067191
Adjacent sequences: A085514 A085515 A085516 this_sequence A085518 A085519 A085520
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KEYWORD
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nonn,fini,full
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AUTHOR
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njas, Jul 03 2003
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