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QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER

XIAOSHAN KAI

School of Mathematics, Hefei University of Technology Hefei 230009, Anhui, China

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and

SHIXIN ZHU

National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China

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https://doi.org/10.1142/S0219749911007757Cited by:71 (Source: Crossref)

Abstract

We give a construction for quantum codes from linear and cyclic codes over . We derive Hermitian self-orthogonal codes over as Gray images of linear and cyclic codes over . In particular, we use two binary codes associated with a cyclic code over of odd length to determine the parameters of the corresponding quantum code.

Keywords:

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