Published November 22, 2017
| Submitted
Report
Open
Self-Dual Codes
- Creators
-
Rains, E. M.
- Sloane, N. J. A.
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.
Additional Information
Over the past 26 years NJAS has had the pleasure of collaborating with many of the people whose names are listed in the bibliography: he wishes to express his appreciation to all of them. We thank Eiichi Bannai, Dave Forney, Aaron Gulliver, Masaaki Harada, Cary Huffman, Michio Ozeki, Vera Pless and Patrick Solé for helpful comments on the manuscript of this chapter. We also thank Susan Pope for a superb typing job.Attached Files
Submitted - 0208001.pdf
Files
0208001.pdf
Files
(933.6 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:f54f4ba6c0dc4c7bf9ff650f2c31dea2
|
933.6 kB | Preview Download |
Additional details
- Eprint ID
- 83432
- Resolver ID
- CaltechAUTHORS:20171122-102726979
- Created
-
2017-11-22Created from EPrint's datestamp field
- Updated
-
2023-06-01Created from EPrint's last_modified field