New families of self-dual codes

被引：0
作者：
Lin Sok
机构：
[1] Anhui University,School of Mathematical Sciences
[2] Royal University of Phnom Penh,Department of Mathematics
来源：
Designs, Codes and Cryptography | 2021年 / 89卷
关键词：
Self-orthogonal code; Self-dual code; MDS code; Almost MDS code; Optimal code; Algebraic curve; Algebraic geometry code; Differential algebraic geometry code; 94B05; 94B27;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Recently, the author has constructed families of MDS Euclidean self-dual codes from genus zero algebraic geometry (AG) codes. In the present correspondence, more families of optimal Euclidean self-dual codes from AG codes are explored. New families of MDS Euclidean self-dual codes of odd characteristic and those of almost MDS Euclidean self-dual codes are constructed explicitly from genus zero and genus one curves, respectively. More families of Euclidean self-dual codes are constructed from algebraic curves of higher genus.
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页码：823 / 841
页数：18
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