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

We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over F4 and F9 to 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 of their corresponding stabilizer matrices to fill some gaps in the literature.