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Self-Dual Codes

E. M. Rains·N. J. A. Sloane
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Abstract

Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory. Topics covered in this survey include codes over F_2, F_3, F_4, F_q, Z_4, Z_m, shadow codes, weight enumerators, Gleason-Pierce theorem, invariant theory, Gleason theorems, bounds, mass formulae, enumeration, extremal codes, open problems. There is a comprehensive bibliography.

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E. M. Rains, N. J. A. Sloane. 2002-08-01. Self-Dual Codes. https://arxiv.org/abs/math/0208001

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