Complete Classification of (24,12) and (22,11) Self-Dual Codes

Abstract

A complete classification is given of all (22,11) and (24,12) self- dual codes. For each code the authors 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-orthogonal codes are used, including formulas for the number of such codes with minimum distance > or = 4, and for the sum of the weight enumerators of all self-dual codes.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1974
Accession Number
AD0781335

Entities

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  • N. J. Sloane
  • Vera Pless

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  • Massachusetts Institute of Technology

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  • Engineering
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  • Applied Combinatorial Optimization and Logic Circuit Design.
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