@article{Wu2023, 
author = {Hongfeng Wu and Li Zhu},
title = {Repeated-root constacyclic codes of length        p    1        p    2    t        p    s   and their dual codes},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {12793-12818},
keywords = {finite fields, cyclic codes, constacyclic codes, cyclotomic cosets, dual code},
url = {https://www.sciopen.com/article/10.3934/math.2023644},
doi = {10.3934/math.2023644},
abstract = {Let              F        q   be the finite field with    q  =      p          k       elements, and        p          1        ,      p          2       be two distinct prime numbers different from    p. In this paper, we first calculate all the    q-cyclotomic cosets modulo        p    1        p    2    t   as a preparation for the following parts. Then we give the explicit generator polynomials of all the constacyclic codes of length        p    1        p    2    t        p    s   over              F        q   and their dual codes. In the rest of this paper, we determine all self-dual cyclic codes of length        p    1        p    2    t        p    s   and their enumeration. This answers a question recently asked by B. Chen, H.Q.Dinh and Liu. In the last section, we calculate the case of length    5  ℓ      p          s       as an example.}
}