Title: Construction of quantum codes from cyclic codes over Fp + vFp

Authors: Mohammad Ashraf; Ghulam Mohammad

Addresses: Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India ' Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

Abstract: In this paper, we study quantum error-correcting codes from cyclic codes over the ring R, where R is a non-chain extension of Fp. We give a method to obtain self-orthogonal codes over Fp as Gray images of linear and cyclic codes over the ring R. Finally, we derive the parameters of associated quantum error-correcting codes.

Keywords: linear codes; self-orthogonal codes; cyclic codes; quantum codes; error correcting codes.

DOI: 10.1504/IJICOT.2015.072627

International Journal of Information and Coding Theory, 2015 Vol.3 No.2, pp.137 - 144

Available online: 22 Oct 2015

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