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

preprint2021arXivOpen access

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.

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