Resum
© 2016 Elsevier Inc. All rights reserved. We give an algebraic structure for a large family of binary quasi-cyclic codes. We construct a family of commutative rings and a canonical Gray map such that cyclic codes over this family of rings produce quasi-cyclic codes of arbitrary index in the Hamming space via the Gray map. We use the Gray map to produce optimal linear codes that are quasi-cyclic.
Idioma original | Anglès |
---|---|
Pàgines (de-a) | 138-149 |
Revista | Finite Fields and Their Applications |
Volum | 40 |
DOIs | |
Estat de la publicació | Publicada - 1 de jul. 2016 |