On the classification and enumeration of self-dual codes

Vera Pless, N.J.A Sloane
1975 Journal of combinatorial theory. Series A  
A complete classification is given of all [22, 111 and [24, 121 binary self-dual codes. For each code we give the order of its group, the number of codes equivalent to it, and its weight distribution. There is a unique [24, 12, 61 selfdual code. Several theorems on the enumeration of self-dual codes are used, including formulas for the number of such codes with minimum distance > 4, and for the sum of the weight enumerators of all such codes of length n. Selforthogonal codes which are generated
more » ... by code words of weight 4 are completely characterized.
doi:10.1016/0097-3165(75)90042-4 fatcat:pmntwe3hsrgrbgo63xbkvkbuci