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Classification and count of binary linear complementary dual group codes (2201.08548v1)
Published 21 Jan 2022 in cs.IT, math.GR, math.IT, and math.RA
Abstract: We establish a complete classification of binary group codes with complementary duals for a finite group and explicitly determine the number of linear complementary dual (LCD) cyclic group codes by using cyclotomic cosets. The dimension and the minimum distance for LCD group codes are explored. Finally, we find a connection between LCD MDS group codes and maximal ideals.
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