Name
Abstract | ||
|---|---|---|
The concept of negacyclic code was recently introduced in Wolfmann (IEEE Trans. Inform. Theory 45 (1999) 2527-2532), in which some relations between the negacyclic codes and their Gray map images are proved. In this note, for k ≥ 1 an isometry φk between codes over Z2k+1 and codes over Z4 is introduced and used to give a generalization of the Gray map equivalent to the one given in Carlet (IEEE Trans. Inform. Theory 44 (1998) 1543-1547). Furthermore, by means of this isometry, the concept of negacyclic codes is extended to codes over the ring Z2k+1, obtaining a class of constacyclic codes referred to as hpo-cyclic codes (half plus one-cyclic codes). A characterization of these codes in terms of their images under φk is given. It is also proved that the generalized Gray map image of an hpo-cyclic code is a binary distance invariant (not necessarily linear) quasi-cyclic code. Finally, some linear hpo-cyclic codes are discussed and a few examples are given. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0166-218X(02)00453-5 | Discrete Applied Mathematics |
Keywords | DocType | Volume |
Negacyclic,Hpo -cyclic,linear hpo-cyclic code,Gray map image,Quasi-cyclic and cyclic codes over Z 2 k,Gray map equivalent,binary quasi-cyclic code,one-cyclic code,constacyclic code,negacyclic code,Gray map,Constacyclic,hpo-cyclic code,quasi-cyclic code,generalized Gray map image,IEEE Trans | Journal | 128 |
Issue | ISSN | Citations |
1 | Discrete Applied Mathematics | 4 |
PageRank | References | Authors |
0.51 | 5 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| H. Tapia-Recillas | 1 | 12 | 3.88 |
| G. Vega | 2 | 5 | 1.22 |