New Quantum Codes Constructed by Quantum Caps in PG(3,9) and PG(4,9)
Husheng Li, Ruihu Li, Qiang Fu · IEEE Access · 2020
In this paper, we present a computer-supported method of searching for quantum caps. By means of this method and relevant knowledge of combinatorics, many quantum caps in$PG(3,9)$and$PG(4,9)$are constructively proven to exist. Then, according to the theorem that each quantum cap corresponds to a quantum error-correcting code with$d=4$, we obtain 278 quantum error-correcting codes. Most of these results break the GV bound, and a number of them are optimal quantum codes or have improved parameters.