Repeated-Root Constacyclic Codes Of Length 3lmps
Repeated-Root Constacyclic Codes Of Length 3lmps
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 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
are obtained.