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Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes
Designs, Codes and Cryptography ( IF 1.4 ) Pub Date : 2021-08-01 , DOI: 10.1007/s10623-021-00916-1
Masaaki Harada 1
Affiliation  

We give two methods for constructing many linear complementary dual (LCD for short) codes from a given LCD code, by modifying some known methods for constructing self-dual codes. Using the methods, we construct binary LCD codes and quaternary Hermitian LCD codes, which improve the previously known lower bounds on the largest minimum weights.



中文翻译:

二元LCD码、三元LCD码和四元Hermitian LCD码的构造

我们通过修改一些已知的构造自对偶码的方法,给出了从给定的 LCD 码构造许多线性互补对偶(简称 LCD)码的两种方法。使用这些方法,我们构造了二进制 LCD 代码和四进制 Hermitian LCD 代码,它们改进了先前已知的最大最小权重的下限。

更新日期:2021-08-03
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