In this work, (1v)-constacyclic codes over the ring F2u F2vF2uvF2 are studied. (1v)-constacyclic codes over F2uF2vF2uvF2 of odd lengths are characterized with the help of cyclic codes over F2u F2vF2uvF2. A natural Gray map from ( F2uF2vF2uvF2)n to ( F2uF2)2n is introduced and it is shown that the image under this map of (1v)-constacyclic codes over F2u F2vF2uvF2 are cyclic codes over F2uF2. Also a substantial number of optimal binary linear codes are obtained as the images of (1v)-constacyclic codes over F2uF2vF2uvF2.
ASJC Scopus subject areas
- Control and Systems Engineering
- Signal Processing
- Computer Networks and Communications
- Applied Mathematics