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.
Linear Cyclic Codes Codes Over Mixed Alphabets Gray Map LCD Codes
Birincil Dil | İngilizce |
---|---|
Konular | Uygulamalı Matematik |
Bölüm | Makaleler |
Yazarlar | |
Erken Görünüm Tarihi | 29 Ocak 2024 |
Yayımlanma Tarihi | 29 Ocak 2024 |
Kabul Tarihi | 1 Ağustos 2023 |
Yayımlandığı Sayı | Yıl 2023 |
International Journal of Informatics and Applied Mathematics