Quasi-cyclic codes as codes over rings of matrices

Authors:
Pierre-Louis Cayrel;Christophe Chabot;Abdelkader Necer
Affiliations:
Center for Advanced Security Research Darmstadt, Mornewegstrasse, 32, 64293 Darmstadt, Germany;Université de Limoges, XLIM-DMI, 123, Av. Albert Thomas, 87060 Limoges Cedex, France;Université de Limoges, XLIM-DMI, 123, Av. Albert Thomas, 87060 Limoges Cedex, France
Venue:
Finite Fields and Their Applications
Year:
2010

Citing 3
Cited 2

Coding with skew polynomial rings

Journal of Symbolic Computation
On the algebraic structure of quasi-cyclic codes .I. Finite fields

IEEE Transactions on Information Theory
The Multiple-Recursive Matrix Method for Pseudorandom Number Generation

Finite Fields and Their Applications

There is no Euclidean self-dual quaternary [18,9,7] code

International Journal of Information and Coding Theory
Constructing quasi-cyclic codes from linear algebra theory

Designs, Codes and Cryptography

Quantified Score

Hi-index	0.00

Visualization

Abstract

Quasi-cyclic codes over a finite field are viewed as cyclic codes over a noncommutative ring of matrices over a finite field. This point of view permits to generalize some known results about linear recurring sequences and to propose a new construction of some quasi-cyclic codes and self-dual codes.