There exists no self-dual [24,12,10] code over F5
Combinatorics
2012-05-28 v2 Information Theory
math.IT
Abstract
Self-dual codes over F5 exist for all even lengths. The smallest length for which the largest minimum weight among self-dual codes has not been determined is 24, and the largest minimum weight is either 9 or 10. In this note, we show that there exists no self-dual [24,12,10] code over F5, using the classification of 24-dimensional odd unimodular lattices due to Borcherds.
Keywords
Cite
@article{arxiv.0809.0733,
title = {There exists no self-dual [24,12,10] code over F5},
author = {Masaaki Harada and Akihiro Munemasa},
journal= {arXiv preprint arXiv:0809.0733},
year = {2012}
}
Comments
To appear in Designs, Codes and Cryptogr