TY  - JOUR
TI  - ON THE LINEAR CODES OVER THE RING Z4 + v1Z4 + ::: + vtZ4
AB  - Some results on linear codes over the ring Z4 + uZ4 + vZ4; u2 =u; v2 = v; uv = vu = 0 in [6,7] are generalized to the ring Dt = Z4 + v1Z4 +::: + vtZ4; v2i = vi; vivj = vjvi = 0 for i 6= j; 1 i; j t. A Gray map tfrom Dntto Z(t+1)n4is deÖned. The Gray images of the cyclic, constacyclicand quasi-cyclic codes over Dt are determined. The cyclic DNA codes over Dtare introduced. The binary images of them are determined. The nontrivialautomorphism on Di for i = 2; 3; :::; t is given. The skew cyclic, skew constacyclic and skew quasi-cyclic codes over Dt are introduced. The Gray imagesof them are determined. The skew cyclic DNA codes over Dt are introduced.Moreover, some properties of MDS codes over Dt are discussed.
AU  - Dertli, Abdullah
AU  - Çengellenmiş, Yasemin
DO  - 10.31801/cfsuasmas.478655
PY  - 2019
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 68
IS  - 1
SN  - 1303-5991
SP  - 809
EP  - 823
DB  - TRDizin
UR  - http://search/yayin/detay/377923
ER  -