New families of self-dual codes

被引：10

作者：

Sok, Lin ^{[1
,2
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China

[2] Royal Univ Phnom Penh, Dept Math, Phnom Penh 12156, Cambodia

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2021年 / 89卷 / 05期

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; MDS CODES;

D O I：

10.1007/s10623-021-00847-x

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

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.

引用

页码：823 / 841

页数：19

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