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Matrix-Product Complementary dual Codes (1604.03774v1)
Published 13 Apr 2016 in cs.IT and math.IT
Abstract: Linear complementary dual codes (LCD) are linear codes satisfying $C\cap C{\perp}={0}$. Under suitable conditions, matrix-product codes that are complementary dual codes are characterized. We construct LCD codes using quasi-orthogonal matrices. Some asymptotic results are derived.