Characterization of the skew cyclic codes over Fp+vFp
Rings and Algebras
2016-07-06 v1
Abstract
We study cyclic codes with arbitrary length over Fp+vFp where theta(v)=av, a in Fp and v^2=0. We characterize all existing codes in case of O(theta)|n by using certain projections from (Fp+vFp)[x;theta] to Fp[x]. We provide an explicit expression for the ensemble of all possible codes. We also prove useful properties of these codes in the case where O(theta)|n does not hold. We provide results and examples to illustrate how the codes are constructed and how their encoding and decoding are realized.
Keywords
Cite
@article{arxiv.1607.01368,
title = {Characterization of the skew cyclic codes over Fp+vFp},
author = {Reza Dastbasteh and Seyyed Hamed Mousavi and Javad Haghighat},
journal= {arXiv preprint arXiv:1607.01368},
year = {2016}
}
Comments
24 pages