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Search: id:A105676
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| A105676 |
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Highest minimal Hamming distance of any Type 3 ternary self-dual code of length 4n. |
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+0
22
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| 3, 3, 6, 6, 6, 9, 9, 9, 12, 12, 12, 15, 15, 15, 18, 18
(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.
W. C. Huffman, On the classification and enumeration of self-dual codes, Finite Fields Applic. 11 (2005), 451-490.
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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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The [12,6,6]_3 ternary Golay code has d=6, so a(3) = 6.
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CROSSREFS
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Cf. A105674, A105675, A105677, A105678, A016729, A066016, A105681, A105682.
Cf. also A105683.
Sequence in context: A131077 A072464 A160745 this_sequence A127739 A070318 A023842
Adjacent sequences: A105673 A105674 A105675 this_sequence A105677 A105678 A105679
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 06 2005
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EXTENSIONS
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The sequence continues: a(17) = either 15 or 18, a(18) = 18, ...
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