Pure Asymmetric Quantum MDS Codes from CSS Construction: A Complete Characterization
Yeow Meng Chee, Somphong Jitman, Han Mao Kiah, San Ling, Martianus Frederic Ezerman · 2016
Using the Calderbank-Shor-Steane (CSS) construction, pure $q$-ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are called pure CSS asymmetric quantum maximum distance separable (AQMDS) codes. Assuming the validity of the classical MDS Conjecture, pure CSS AQMDS codes of all possible parameters are accounted for.