Construction of binary linear codes via rational function fields

被引：1
|
作者：
Jin, Lingfei [1 ]
Kan, Haibin [1 ]
机构：
[1] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Sch Comp Sci, Shanghai 200433, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2017年 / 83卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Rational function fields; Binary linear codes; Places;
D O I：
10.1007/s10623-016-0252-1
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
By employing a certain multiplicative group in the rational function field and places of degree one and two, we present a construction of binary linear codes in this paper. One feature is that the minimum distance of the code is bounded via the Hurwitz genus formula of function fields. It turns out that many optimal and best-known binary linear codes are obtained through our construction.
引用
收藏
页码：633 / 638
页数：6
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