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A105678 Highest minimal Hamming distance of any Type 4^H Hermitian linear self-dual code over GF(4) of length 2n. 19
2, 2, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 10, 12 (list; graph; refs; listen; history; text; internal format)



The next term a(16) is either 10 or 12.


Table of n, a(n) for n=1..15.

P. Gaborit, Tables of Self-Dual Codes

P. Gaborit and A. Otmani, Experimental construction of self-dual codes, Finite Fields and Their Applications, Volume 9, Issue 3, July 2003, Pages 372-394.

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).


Cf. A105674, A105675, A105676, A105677, A016729, A066016, A105681, A105682.

Cf. also A105686 for the numbers of such codes.

Sequence in context: A177692 A098667 A279506 * A309195 A028397 A053644

Adjacent sequences:  A105675 A105676 A105677 * A105679 A105680 A105681




N. J. A. Sloane, May 06 2005



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Last modified October 20 15:29 EDT 2019. Contains 328267 sequences. (Running on oeis4.)