Classification of extremal and $s$-extremal binary self-dual codes of length 38
Discrete Mathematics
2011-11-02 v1
Abstract
In this paper we classify all extremal and -extremal binary self-dual codes of length 38. There are exactly 2744 extremal self-dual codes, two -extremal codes, and 1730 -extremal codes. We obtain our results from the use of a recursive algorithm used in the recent classification of all extremal self-dual codes of length 36, and from a generalization of this recursive algorithm for the shadow. The classification of -extremal codes permits to achieve the classification of all -extremal codes with d=6.
Keywords
Cite
@article{arxiv.1111.0228,
title = {Classification of extremal and $s$-extremal binary self-dual codes of length 38},
author = {Carlos Aguilar-Melchor and Philippe Gaborit and Jon-Lark Kim and Lin Sok and Patrick Solé},
journal= {arXiv preprint arXiv:1111.0228},
year = {2011}
}
Comments
revised version - paper submitted (4/4/2011) to IEEE trans. Information and accepted 20/10/2011