| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4975796 | Journal of the Franklin Institute | 2011 | 8 Pages |
Abstract
In this work, (1+v)-constacyclic codes over the ring F2+uF2+vF2+uvF2 are studied. (1+v)-constacyclic codes over F2+uF2+vF2+uvF2 of odd lengths are characterized with the help of cyclic codes over F2+uF2+vF2+uvF2. A natural Gray map from (F2+uF2+vF2+uvF2)n to (F2+uF2)2n is introduced and it is shown that the image under this map of (1+v)-constacyclic codes over F2+uF2+vF2+uvF2 are cyclic codes over F2+uF2. Also a substantial number of optimal binary linear codes are obtained as the images of (1+v)-constacyclic codes over F2+uF2+vF2+uvF2.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Suat Karadeniz, Bahattin Yildiz,