There exists no self-dual [24,12,10] code over $${{mathbb F}_5}$$ |
| |
| Authors: | Masaaki Harada Akihiro Munemasa |
| |
| Affiliation: | (1) Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan;(2) Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan |
| |
| Abstract: | Self-dual codes over  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  , using the classification of 24-dimensional odd unimodular lattices due to Borcherds. |
| |
| Keywords: | Self-dual code Minimum weight Construction A Unimodular lattice |
| 本文献已被 SpringerLink 等数据库收录！ |
|
