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A characterization of a (56,28) extremal self-dual code (Corresp.) | IEEE Journals & Magazine | IEEE Xplore

A characterization of a (56,28) extremal self-dual code (Corresp.)


Abstract:

A(54,27)code is characterized in terms of a27 \times 27matrix made up of circulant3 \times 3matrices. The minimum distance of this code is found to be11, and its weight d...Show More

Abstract:

A(54,27)code is characterized in terms of a27 \times 27matrix made up of circulant3 \times 3matrices. The minimum distance of this code is found to be11, and its weight distribution is computed. The(54,27)d=11code is extended to a(56,28)d=12external self-dual code. A(54,27)d=10self-dual code is also described in terms of the incidence matrix of a(27,13,6)group difference set defined on GF(3^{3}).
Published in: IEEE Transactions on Information Theory ( Volume: 27, Issue: 2, March 1981)
Page(s): 258 - 260
Date of Publication: 31 March 1981

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