A001646 Number of self-dual codes of length 2n over GF(4).

1, 1, 1, 2, 3, 5, 10, 21, 55, 245, 3427

Offset

0,4

Links

Table of n, a(n) for n=0..10.

J. Conway, V. Pless and N. Sloane, Self-dual codes over GF(3) and GF(4)of length not exceeding 16, IEEE Trans. Information Theory 25 312-322 1979.

Masaaki Harada and Akihiro Munemasa, Classification of quaternary Hermitian self-dual codes of length 20, IEEE Transactions on Information Theory, 57 (2011), 3758-3762; arXiv:1012.0898 [math.CO], 2010.

W. C. Huffman, On the classification and enumeration of self-dual codes, Finite Fields Applic. 11 (2005), 451-490.

F. J. MacWilliams, A. M. Odlyzko, N. J. A. Sloane and H. N. Ward, Self-Dual Codes over GF(4), J. Combin. Theory, A 25 288-318 1978.

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).

Crossrefs

Sequence in context: A022861 A352818 A346970 * A103595 A293842 A014844

Adjacent sequences: A001643 A001644 A001645 * A001647 A001648 A001649

Keyword

nonn,hard,more

Author

N. J. A. Sloane

Extensions

a(9)-a(10) from Harada & Munemasa added by Andrey Zabolotskiy, Sep 13 2021

Status

approved