%I #17 Dec 04 2018 04:13:31
%S 1,1,1,1,1,1,1,2,2,2,2,2,3,10,16,53,553,14536
%N Number of binary self-dual codes that share the most common weight distribution for binary self-dual codes of length 2n.
%C 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}).
%C The indexing of the list is 2n since there are no binary self-dual codes of odd length.
%H W. Cary Huffman and Vera Pless, <a href="https://doi.org/10.1017/CBO9780511807077">Fundamentals of Error Correcting Codes</a>, Cambridge University Press, 2003, Pages 7,252-282,338-393.
%Y Cf. A296086, A321969.
%K nonn,more
%O 1,8
%A _Nathan J. Russell_, Nov 25 2018