Complete Classification of (24,12) and (22,11) Self-dual Codes
Name
MIT-LCS-TM-049.pdf
Size
6.3 MB
Format
Adobe PDF
Checksum (MD5)
62052f40088ee3f5acd9e5eaac1920a9
Author(s)
Pless, Vera
Sloane, N.J.A.
Date Issued
June 1974
Series/Report no.
MIT-LCS-TM-049
MAC-TM-049
Abstract
A complete classification is given of all [22, 11] and [24, 12] 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-orthogonal codes are used, including forumlas for the number of such codes with minimum distance ≥ 4, and for the sum of the weight enumerators of all self-dual codes.
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