@article{Liu2025, 
author = {Jie Liu and Xiying Zheng},
title = {Equivalence of constacyclic codes over finite non-chain ring and quantum codes},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {15193-15205},
keywords = {quantum codes, isometric equivalence, monomial equivalence, constacyclic codes, CSS construction},
url = {https://www.sciopen.com/article/10.3934/math.2025681},
doi = {10.3934/math.2025681},
abstract = {Let              R              l        =                    F                    q        [  u  ]      /    ⟨      u          l        −  u  ⟩, where    q  =      p    m  ,    p is a prime, and    m  ∈            N      +      ,    (  l  −  1  )  ∣  (  p  −  1  ). First, we study isometry and equivalence between constacyclic codes over              R              l      , and we present the equivalence conditions for    (      e    1        a    1    +      e    2        a    2    +  ⋯  +      e          l            a          l        )-constacyclic code and    (      e    1        b    1    +      e    2        b    2    +  ⋯  +      e          l            b          l        )-constacyclic code. Further, based on the equivalence conditions, we classify constacyclic codes over              R              l      . Finally, based on the equivalence of constacyclic codes over              R              l       and CSS construction, we construct some new quantum codes that are better than the existing codes in some recent references.}
}