New Quantum Codes from the Images of Cyclic Codes

作者:Bai, Ni*; Kai, Xiaoshan; Tang, Yongsheng
来源:International Journal of Theoretical Physics, 2023, 63(1): 2.
DOI:10.1007/s10773-023-05531-5

摘要

In this paper, cyclic codes over F-q2m of lengths 2(q(2m) - 1) and q(2m)-1/r(q-1) are considered, where r vertical bar (q + 1) and r not equal q + 1. Based on the Hermitian construction, the q(2)-ary images of these cyclic codes are employed to construct quantum codes. The quantum codes obtained by our technique have higher code rate than the currently known ones.

全文