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

Author(s)
Pless, Vera; Sloane, N.J.A.
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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.
Date issued
1974-06
URI
https://hdl.handle.net/1721.1/148877
Series/Report no.
MIT-LCS-TM-049MAC-TM-049

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  • LCS Technical Memos (1974 - 2003)
  • MAC Memos (1963 - 1974)

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