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Qldpc Advanced Quantum Codes

On quantum codes obtained from cyclic codes over 𝔽2 + u𝔽2 + u2𝔽2

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Authors: Abhay Kumar Singh, Sukhamoy Pattanayak, Pratyush Kumar, Kar Ping Shum

Year

2017

Paper ID

2430

Status

Peer-reviewed

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~2 min

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Abstract

In the paper, we consider a finite non-chain commutative ring [Formula: see text], where [Formula: see text]. We mainly study the construction of quantum codes from cyclic codes over [Formula: see text]. For this, we obtained self-orthogonal codes over [Formula: see text] as gray images of linear and cyclic codes over [Formula: see text], then these codes over [Formula: see text] correspond to a cyclic code over [Formula: see text] of odd length [Formula: see text] used to determine the parameters of the quantum codes.

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This paper contributes to the qLDPC & Advanced Quantum Codes research area in the Quantum Articles archive.
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In the paper, we consider a finite non-chain commutative ring [Formula: see text], where [Formula: see text].

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References & Citation Signals

[1] DOI https://doi.org/10.1142/s1793557118500092 [2] Publisher https://doi.org/10.1142/s1793557118500092

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