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Dual skew codes from annihilators: Transpose Hamming ring extensions
Published 1 Mar 2018 in cs.IT, math.IT, and math.RA | (1803.00239v1)
Abstract: In this paper a framework to study the dual of skew cyclic codes is proposed. The transposed Hamming ring extensions are based in the existence of an anti-isomorphism of algebras between skew polynomial rings. Our construction is applied to left ideal convolutional codes, skew constacyclic codes and skew Reed-Solomon code, showing that the dual of these codes belong to the same class.
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