Quaternary Hermitian linear complementary dual codes [article]

Makoto Araya, Masaaki Harada, Ken Saito
2019 arXiv   pre-print
The largest minimum weights among quaternary Hermitian linear complementary dual codes are known for dimension 2. In this paper, we give some conditions for the nonexistence of quaternary Hermitian linear complementary dual codes with large minimum weights. As an application, we completely determine the largest minimum weights for dimension 3, by using a classification of some quaternary codes. In addition, for a positive integer s, a maximal entanglement entanglement-assisted quantum
more » ... 16s+3;21s+2]] codes is constructed for the first time from a quaternary Hermitian linear complementary dual [26,3,19] code.
arXiv:1904.07517v2 fatcat:fron32eqsbafbkbsexdyrmvxzi