Skew-cyclic codes
Rings and Algebras
2016-08-16 v1
Abstract
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the obtained codes share most properties of cyclic codes. Since there are much more skew-cyclic codes, this new class of codes allows to systematically search for codes with good properties. We give many examples of codes which improve the previously best known linear codes.
Cite
@article{arxiv.math/0604603,
title = {Skew-cyclic codes},
author = {Delphine Boucher and Willi Geiselmann and Félix Ulmer},
journal= {arXiv preprint arXiv:math/0604603},
year = {2016}
}