On Quantum Codes Obtained From Cyclic Codes Over \mathbbF₂+u\mathbbF₂+u²\mathbbF₂

2016/01/11 by Sukhamoy Pattanayak, Abhay Kumar Singh, Pattanayak, Sukhamoy +3
Biochemistry, Genetics and Molecular Biology · Computer Science · #Cellular Automata and Applications #DNA and Biological Computing #FOS: Computer and information sciences #Information Theory (cs.IT) #Quantum Computing Algorithms and Architecture

paper · pdf · doi:10.48550/arxiv.1601.02328

openalex publication_date 2016/01/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let R=\mathbbF₂+u\mathbbF₂+u²\mathbbF₂ be a non-chain finite commutative ring, where u³=u. In this paper, we mainly study the construction of quantum codes from cyclic codes over R. We obtained self-orthogonal codes over \mathbbF₂ as gray images of linear and cyclic codes over R. The parameters of quantum codes which are obtained from cyclic code over R are discussed.

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