Self-Dual Codes
Combinatorics
2007-07-16 v1 Information Theory
math.IT
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.
Keywords
Cite
@article{arxiv.math/0208001,
title = {Self-Dual Codes},
author = {E. M. Rains and N. J. A. Sloane},
journal= {arXiv preprint arXiv:math/0208001},
year = {2007}
}
Comments
136 pages