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A study of quantum codes obtained from cyclic codes over a non-chain ring

Dinh, HQ and Kumar, N and Singh, AK (2022) A study of quantum codes obtained from cyclic codes over a non-chain ring. In: Cryptography and Communications .

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Official URL: https://doi.org/10.1007/s12095-022-00567-6


In this paper, the structure of cyclic codes of odd length n over R= Z4+ vZ4, v2= v, is conferred. We define a Gray map ξ, which is distance preserving from Rn (Gray distance) to Z24n (Hamming distance), and show that it is Z2-linear. We construct quantum codes over Z2 by utilizing the Gray images ξ(C) of cyclic codes C over R. As an application, we provide many new quantum MDS codes and quantum codes with good parameters comparing to known quantum codes. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Item Type: Journal Article
Publication: Cryptography and Communications
Publisher: Springer
Additional Information: The copyright for this article belongs to Springer
Keywords: C (programming language); Codes (symbols); Hamming distance, Cyclic code; Gray distances; Gray image; Gray map; MDS code; Odd length; Quantum codes, Quantum computers
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 14 May 2022 14:45
Last Modified: 14 May 2022 14:45
URI: https://eprints.iisc.ac.in/id/eprint/71649

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