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Quantum codes from cyclic codes over GF(4m)

Andrew Thangaraj, Steven McLaughlin

quant-pharXiv:quant-ph/0008129

Abstract

We provide a construction for quantum codes (hermitian-self-orthogonal codes over GF(4)) starting from cyclic codes over GF(4m). We also provide examples of these codes some of which meet the known bounds for quantum codes.

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