In the present work, we discuss the quantum codes over the ring Z_m, m is power of some odd prime. Quantum codes are obtained through -constacyclic codes over a finite non-chain ring   with   and -constacyclic codes over the ring are decomposed into two codes over the ring Z_m in order to obtain the parameters for the corresponding quantum codes over the ring Z_m. Some examples of quantum codes are also provided to verify the results.

cyclic codes, constacyclic codes, Gray map, finite rings, quantum codes.

Received: September 6, 2022; Revised: October 29, 2022; Accepted: February 1, 2023; Published: February 9, 2023

How to cite this article: Pinki, Sangita Yadav, Balveer Singh and Prateek Mor, Quantum codes obtained through -constacyclic codes over , Advances and Applications in Discrete Mathematics 38(1) (2023), 1-14. http://dx.doi.org/10.17654/0974165823015

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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