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Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes (2101.11821v1)
Published 28 Jan 2021 in cs.IT, math.CO, and math.IT
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.