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Search: id:A105674
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| A105674 |
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Highest minimal distance of any Type I (strictly) singly-even binary self-dual code of length 2n. |
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+0
20
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| 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10
(list; graph; listen)
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OFFSET
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1,1
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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, 1977.
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LINKS
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G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
P. Gaborit, Tables of Self-Dual Codes
E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998; (Abstract, pdf, ps).
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EXAMPLE
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At length 8 the only strictly Type I self-dual code is {00,11}^4, which has d=2, so a(4) = 2.
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CROSSREFS
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Cf. A105675, A105676, A105677, A105678, A016729, A066016, A105681, A105682.
Cf. also A105685 for the number of such codes.
Sequence in context: A086876 A066691 A064133 this_sequence A130496 A001299 A001300
Adjacent sequences: A105671 A105672 A105673 this_sequence A105675 A105676 A105677
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KEYWORD
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nonn,nice
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AUTHOR
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njas, May 06 2005
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EXTENSIONS
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The sequence continues: a(28) = either 10 or 12, then a(58) = 10, a(60) through a(68) = 12, ...
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