Self-Dual Codes
E. M. Rains and N. J. A. Sloane
Information Sciences Research, AT&T Labs-Research
180 Park Avenue, Florham Park, NJ 07932-0971
May 19 1998
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.
A different version of this paper appeared in the Handbook of Coding Theory,
ed. V. S. Pless and W. C. Huffman, Elsevier, Amsterdam, 1998, pp. 177-294.
For the full version see
http://www.research.att.com/~njas/doc/self.pdf (pdf) or
http://www.research.att.com/~njas/doc/self.ps (ps)