Dual skew codes from annihilators: Transpose Hamming ring extensions [article]

José Gómez-Torrecillas and F. J. Lobillo and Gabriel Navarro
2018 arXiv   pre-print
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.
arXiv:1803.00239v1 fatcat:gmb5yrne7feqjh7w7x5ynd3rpa