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Galois Self-Dual Constacyclic Codes (1512.07347v1)
Published 23 Dec 2015 in cs.IT, math.IT, and math.RA
Abstract: Generalizing Euclidean inner product and Hermitian inner product, we introduce Galois inner products, and study the Galois self-dual constacyclic codes in a very general setting by a uniform method. The conditions for existence of Galois self-dual and isometrically Galois self-dual constacyclic codes are obtained. As consequences, the results on self-dual, iso-dual and Hermitian self-dual constacyclic codes are derived.