Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes

Abstract

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 bound on the largest minimum weights.

arXiv comment25 pages

References in corpus (6)

• LCD codes over ${\mathbb{F}}_q$ are as good as linear codes for q at least four
• Binary linear complementary dual codes
• On the classification of linear complementary dual codes
• Remark on subcodes of linear complementary dual codes
• Some optimal entanglement-assisted quantum codes constructed from quaternary Hermitian linear complementary dual codes
• Optimal Quaternary Hermitian LCD codes

Cited by in corpus (1)

• Construction for both self-dual codes and LCD codes