Existence of some optimal maximal entanglement entanglement-assisted quantum codes

08/01/2019

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by   Masaaki Harada, et al.

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We establish the existence of optimal maximal entanglement entanglement-assisted quantum [[n,k,d;n-k]] codes for (n,k,d)=(14,6,7), (15,7,7), (17,6,9), (17,7,8), (19,7,9) and (20,7,10). These codes are obtained from quaternary Hermitian linear complementary dual codes. We also give some observation on the largest minimum weights.