Quantum Codes Obtained through Constacyclic Codes Over

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Jagbir Singh, Prateek Mor

Abstract

The structural properties and construction of quantum codes over  using Constacyclic codes over the finite commutative non-chain ring  = where  are the focus of htis paperand  is field having  elements with characteristic p where p is an prime such that . A Gray map is defined between  and . Decomposing constacyclic codes into cyclic and negacyclic codes over  yields the parameters of quantum codes over . Some examples of quantum codes of arbitrary length are also obtained as an application.

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Quantum Codes Obtained through Constacyclic Codes Over. (2021). Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(6), 3056-3073. https://doi.org/10.17762/turcomat.v12i6.6950