Good Stabilizer Codes from Quasi-Cyclic Codes over F 4 and F 9

Martianus Frederic Ezerman, San Ling, Buket Özkaya, Patrick Solé · 2019

We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over F4and F9to derive good qubit and qutrit stabilizer codes, respectively. In several occasions we obtain quantum codes with stricly improved parameters than the current record. In numerous other occasions we obtain quantum codes with best-known performance. For the qutrit ones we supply a systematic construction to fill some gaps in the literature.

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