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 · 2018

Maximal designed distances for nonbinary narrow-sense quantum Bose-Chaudhuri-Hocquenghem (BCH) codes of length $n=\frac{q^4-1}{r}$ 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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