.png){kind=icon}
.png){kind=icon}
Return
ℤ2ℤ2[u]ℤ2[u]-additive complementary codes
.png){kind=icon}
PRE
AI
DOI：10.1142/S1793830926500370.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
This paper focuses on mixed alphabet codes on three alphabets, namely, & Zopf;(2) and its extension & Zopf;(2)[u] = & Zopf;(2) + u & Zopf;(2) with u(2) = 0. Through the introduction of novel Gray maps, we explore the structure of cyclic codes and constacyclic codes, focusing on the properties of their generators. Our study extends to the development of Linear Complementary Pair (LCP) codes over the ring. In addition, we construct binary linear codes and highlight the important characteristics of their generators. We also present examples of cyclic, constacyclic, and binary linear codes, with a view of their relevance in the context of quantum codes.
Keywords:
Linear code
cyclic code
constacyclic code
linear complementary dual
linear complementary pair
quantum code
Journal
D
IF:
0.4
Papers:
118
Citations:
524