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摘要
Constructing quantum codes with good parameters is an important part of quantum error-correcting codes research. In this paper, 2m-ary quantum codes are derived through Hermitian dual-containing constacyclic codes over finite non-chain ring R = F4m + vF4m. A new Gray map ? is defined, which is Hermitian dual-containing preserving from a linear code C over R to ?(C). The condition for constacyclic codes over R to be Hermitian dual-containing is studied. A method of constructing 2m-ary quantum codes is presented, and some new 4-ary and 8-ary quantum codes are obtained. ? 2023 Science Press.
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