Self-Dual Codes
Eric M. Rains, Neil J.A. Sloane · arXiv (Cornell University) · 2002
A survey of self-dual codes, written for the Handbook of Coding Theory. 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 chapter include codes over F2, F3, F4, Fq, Z4, Zm, shadow codes, weight enumerators, Gleason-Pierce theorem, invariant theory, Gleason theorems, bounds, mass formulae, enumeration, extremal codes, open problems. There is a comprehensive bibliography.