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Quantum Goethals-Preparata Codes (0801.2150v1)

Published 14 Jan 2008 in quant-ph, cs.IT, and math.IT

Abstract: We present a family of non-additive quantum codes based on Goethals and Preparata codes with parameters ((2m,2{2m-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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