Nhảy đến nội dung

Repeated-Root Constacyclic Codes Of Length 3lmps

Authors: 

Yan Liu, Minjia Shi, Hai Q. Dinh, Songsak Sriboonchitta

Source title: 
Advances in Mathematics of Communications, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

Let p be a prime different from 3, and l be an odd prime different from 3 and p. In terms of generator polynomials, structures of constacyclic codes and their duals of length 3lmps over a are established, where q is a power of p. We discuss the enumeration of all cyclic codes of length 3 · 2slm, that generalizes the construction of (2016), which is the special case of m = 1. In addition, as an application, the characterization and enumeration of all linear complementary dual cyclic codes of length 6lmps over a are obtained.