Name
Abstract | ||
|---|---|---|
In this paper, for k ≥ 1 an isometry φk between codes over Z2k+1 and codes over Z4 is introduced and is used to give a generalization of the Gray map. Furthermore, by means of this isometry, the concept of negacyclic codes is extended to codes over the ring Z2k+1, 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 shown that the generalized Gray map image of a hpo-cyclic code is a binary distance invariant (not necessary linear) quasi-cyclic code. Finally, some linear hpo-cyclic codes are discussed. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1016/S1571-0653(04)00176-3 | Electronic Notes in Discrete Mathematics |
Keywords | Field | DocType |
Gray map,negacyclic,hpo-cyclic,quasi-cyclic,cyclic codes over Z2k | Discrete mathematics,Hamming code,Combinatorics,Concatenated error correction code,Group code,Low-density parity-check code,Block code,Expander code,Reed–Muller code,Linear code,Mathematics | Journal |
Volume | ISSN | Citations |
6 | 1571-0653 | 1 |
PageRank | References | Authors |
0.37 | 3 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| H. Tapia-Recillas | 1 | 12 | 3.88 |
| G. Vega | 2 | 5 | 1.22 |