In this paper, we study optimal formally self-dual codes over F5 and F7. We determine the highest possible minimum weight for such codes up to length 24. We also construct formally self-dual codes with highest minimum weight, some of which have the highest minimum weight among all known linear codes of corresponding length and dimension. In particular, the first known [14, 7, 7] code over F7 is presented. We show that there exist formally self-dual codes which have higher minimum weights than any comparable self-dual codes.
|ジャーナル||Applicable Algebra in Engineering, Communications and Computing|
|出版ステータス||Published - 2000 1 1|
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics