On the classification and enumeration of self-dual codes
Copyright policy )On the classification and enumeration of self-dual codes
AbstractA complete classification is given of all [22, 11] and [24, 12] 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, 6] self-dual 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 by code words of weight 4 are completely characterized.
- Massachusetts Institute of Technology United States
- I+ (Italy) Italy
- Bell Labs United States
Combinatorial codes, Computational Theory and Mathematics, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Discrete Mathematics and Combinatorics, Combinatorial aspects of block designs, Theoretical Computer Science
Combinatorial codes, Computational Theory and Mathematics, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Discrete Mathematics and Combinatorics, Combinatorial aspects of block designs, Theoretical Computer Science
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