On the Construction of Binary Optimal LCD Codes with Short Length

被引：16

作者：

Fu, Qiang ^{[1
]}

Li, Ruihu ^{[1
]}

Fu, Fangwei ^{[2
]}

Rao, Yi ^{[1
]}

机构：

[1] Air Force Engn Univ, Sci Coll, Xian 710051, Shaanxi, Peoples R China

[2] Nankai Univ, Chern Inst Math, Tianjin, Peoples R China

来源：

INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE | 2019年 / 30卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Linear complementary dual; binary optimal code; minimum distance; LINEAR CODES;

D O I：

10.1142/S0129054119500242

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A q-ary linear code C is called a linear complementary dual (LCD) code if it meets its dual trivially. Binary LCD codes play a significant role for their advantage of low complexity for implementations against side-channel attacks and fault injection attacks. In this paper, the problem of finding LCD codes over the binary field is discussed. Many new codes and new bounds are presented, as well as a table of optimal LCD codes (or upper and lower bounds on such codes) of length up to 30 bits.

引用

页码：1237 / 1245

页数：9

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