Repeated-root constacyclic codes of length $2{\ell }^m{p}^n$

Abstract

For any different odd primes $\ell$ and $p$, structure of constacyclic codes of length $2{\ell }^m{p}^n$ over a finite field ${\mathbb{F}}_q$ of characteritic $p$ and their duals is established in term of their generator polynomials. Among other results, all linear complimentary dual and self-dual constacyclic codes of length $2{\ell }^m{p}^n$ over ${\mathbb{F}}_q$ are obtained.

16 pages