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Self-Dual Codes

Rains, E. M. and Sloane, N. J. A. (2002) Self-Dual Codes. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20171122-102726979

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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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/math/0208001arXivDiscussion Paper
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.
Record Number:CaltechAUTHORS:20171122-102726979
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171122-102726979
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83432
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:22 Nov 2017 19:05
Last Modified:03 Oct 2019 19:06

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