Some Improved Constructions For Nonbinary Quantum Bch Codes

Nianqi Tang,Zhuo Li,Lijuan Xing,Ming Zhang,Feifei Zhao

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES（2019）

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摘要

Maximal designed distances for nonbinary narrow-sense quantum Bose-Chaudhuri-Hocquenghem (BCH) codes of length n = q(4)-1/r and new constructions for them are given, where q is an odd prime power. These constructions are capable of designing quantum BCH codes with new parameters. Furthermore, some codes obtained here have better parameters than those constructed by other known constructions.

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关键词

Bose-Chaudhuri-Hocquenghem (BCH) codes, stabilizer codes, quantum error-correction, Hermitian dual containing codes

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