English

Permutation codes over finite fields

Information Theory 2019-04-16 v1 math.IT Rings and Algebras

Abstract

In this paper we describe a class of codes called {\it permutation codes}. This class of codes is a generalization of cyclic codes and quasi-cyclic codes. We also give some examples of optimal permutation codes over binary, ternary, and 55-ary. Then, we describe its structure as submodules over a polynomial ring.

Keywords

Cite

@article{arxiv.1904.06820,
  title  = {Permutation codes over finite fields},
  author = {Irwansyah and Intan Muchtadi-Alamsyah and Aleams Barra},
  journal= {arXiv preprint arXiv:1904.06820},
  year   = {2019}
}