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 A105676 Highest minimal Hamming distance of any Type 3 ternary self-dual code of length 4n. 21
 3, 3, 6, 6, 6, 9, 9, 9, 12, 12, 12, 15, 15, 15, 18, 18 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977. LINKS P. Gaborit, Tables of Self-Dual Codes W. C. Huffman, On the classification and enumeration of self-dual codes, Finite Fields Applic., 11 (2005), 451-490. G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006. E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998; (Abstract, pdf, ps). EXAMPLE The [12,6,6]_3 ternary Golay code has d=6, so a(3) = 6. CROSSREFS Cf. A105674, A105675, A105677, A105678, A016729, A066016, A105681, A105682. Cf. also A105683. Sequence in context: A072464 A262871 A160745 * A127739 A327142 A175394 Adjacent sequences:  A105673 A105674 A105675 * A105677 A105678 A105679 KEYWORD nonn,more AUTHOR N. J. A. Sloane, May 06 2005 EXTENSIONS The sequence continues: a(17) = either 15 or 18, a(18) = 18, ... STATUS approved

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Last modified May 17 09:03 EDT 2021. Contains 343969 sequences. (Running on oeis4.)