Dual skew codes from annihilators: Transpose Hamming ring extensions

José Gómez-Torrecillas; F. J. Lobillo; Gabriel Navarro

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arXiv · 1803.00239

Dual skew codes from annihilators: Transpose Hamming ring extensions

José Gómez-Torrecillas·F. J. Lobillo·Gabriel Navarro

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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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José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro. 2018-03-01. Dual skew codes from annihilators: Transpose Hamming ring extensions. https://arxiv.org/abs/1803.00239

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