On the enumeration of self-dual codes |
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Authors: | J.H Conway Vera Pless |
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Affiliation: | University of Cambridge, Cambridge, England;University of Illinois at Chicago Circle, Chicago, Illinois 60680 USA |
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Abstract: | We give the complete classification of all binary, self-dual, doubly-even (32, 16) codes. There are 85 non-equivalent, self-dual, doubly-even (32, 16) codes. Five of these have minimum weight 8, namely, a quadratic residue code and a Reed-Muller code, and three new codes. A set of generators is given for a code in each equivalence class together with its entire weight distribution and the order of its entire group with other information facilitating the computation of permutation generators. From this list it is possible to identify all self-dual codes of length less than 32 and the numbers of these are included. |
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