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A322073
Number of binary self-dual codes that share the most common weight distribution for binary self-dual codes of length 2n.
1
1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 10, 16, 53, 553, 14536
OFFSET
1,8
COMMENTS
The weight distribution list [w_0,w_1,...,w_30] = [1,0,0,6,0,53,0,339,0,1782,5284,0,8919,...,1] where w_i is the number of codewords of weight i, represents the most common weight distribution for the binary self-dual codes of length 2*15 = 30. There are a(15) = 16 binary self-dual codes that have this weight enumerator. Ellipses are used to shorten the list since the list is symmetrical (i.e., w_n = w_{30-n}).
The indexing of the list is 2n since there are no binary self-dual codes of odd length.
LINKS
W. Cary Huffman and Vera Pless, Fundamentals of Error Correcting Codes, Cambridge University Press, 2003, Pages 7,252-282,338-393.
CROSSREFS
Sequence in context: A079629 A029116 A064770 * A332201 A060467 A125918
KEYWORD
nonn,more
AUTHOR
Nathan J. Russell, Nov 25 2018
STATUS
approved