Construction of a Class of Quantum Repeated-Root Cyclic Codes
In order to expand the structure of quantum error-correcting codes and improve their error-correcting ability and coding efficiency in quantum computing,a new class of quantum repeated-root cyclic codes is constructed.In this paper,firstly,the sufficient and necessary conditions for the repeated-root cyclic codes of length 6ps over Fq containing dual codes are studied.Secondly,based on its minimum Hamming distance,the Hamming distance of dual inclusion code is given.Finally,several kinds of quan-tum codes with different parameters are given based on the algebraic structure of repeated-root cyclic codes and Steane′s enlargement construction.The practicability and reliability of quantum error-correcting codes in quantum communication are improved by precisely controlling code parameters.
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