- International Journal of Informatics and Applied Mathematics
- Cilt: 6 Sayı: 2
- A Class of LCD Codes Through Cyclic Codes Over $ZpR$
A Class of LCD Codes Through Cyclic Codes Over $ZpR$
Authors : Zineb HEBBACHE, Amit SHARMA
Pages : 8-19
Doi:10.53508/ijiam.1213801
View : 12 | Download : 9
Publication Date : 2024-01-29
Article Type : Research
Abstract :In recent time, some mixed types of alphabets have been considered for constructing error correcting codes. These constructions include $\\bbbz_{2}\\bbbz_{4}-$additive codes, $\\bbbz_{2}\\bbbz_{2}[u]-$linear codes et cetera. In this paper, we studied a class of codes over a mixed ring $\\bbbz_{p}R$ where $R=\\bbbz_{p}+v\\bbbz_{p}+v^{2}\\bbbz_{p}, v^{3}=v.$ We determined an algebraic structure of these codes under certain conditions. We have also constructed a class of LCD cyclic codes over $\\bbbz_{p}R$. A necessary and sufficient condition for a cyclic code to be a complementary dual (LCD) code has been obtained.Keywords : Codes over mixed alphabets