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arxiv: 0801.2150 · v1 · submitted 2008-01-14 · 🪐 quant-ph · cs.IT· math.IT

Quantum Goethals-Preparata Codes

classification 🪐 quant-ph cs.ITmath.IT
keywords codesquantumdimensionadditivebestdistanceeightequal
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We present a family of non-additive quantum codes based on Goethals and Preparata codes with parameters ((2^m,2^{2^m-5m+1},8)). The dimension of these codes is eight times higher than the dimension of the best known additive quantum codes of equal length and minimum distance.

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