https://doi.org/10.1140/epjp/s13360-022-02429-9
Regular Article
New non-binary quantum codes from skew constacyclic and additive skew constacyclic codes
Department of Mathematics, Indian Institute of Technology Patna, 801 106, Patna, India
Received:
11
December
2021
Accepted:
25
January
2022
Published online:
8
February
2022
This paper discusses the structure of skew constacyclic codes and their Hermitian dual over finite commutative non-chain ring 
where q is odd prime power. We also extend our study over mixed alphabet 
codes. First, we find necessary and sufficient conditions for skew constacyclic codes to contain their duals over 
and . Then, a Gray map 
, is defined, and with the help of this map, we also define another Gray map 
and prove that both maps are 
-linear Hermitian dual preserving. Finally, by applying Hermitian construction on dual-containing skew constacyclic codes, we construct many new quantum codes that improve the best-known parameters.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
