Some Quantum Error-Correcting Codes with d = 5
Husheng Li, Ruihu Li, Yu Yao, Qiang Fu · Journal of Physics Conference Series · 2020
Abstract In this paper, we firstly give a computer-support method of searching for Hermitian self-orthogonal linear code. Then two linear codes with dual distance 5 over field F q2 for q = 2,3, respectively, are chosen as ingredients. By use of this searching method, we totally find 88 Hermitian self-orthogonal linear codes and construct 88 related quantum error-correcting codes with d = 5 . Most of these results are best known quantum codes and a number of them have better parameters than that of previous quantum codes.