Asymmetric quantum codes of large z-distance constructed from a class of quaternary imprimitive BCH codes
In this paper,we focus on construction of asymmetric quantum error-correcting codes (AQECCs) from quaternary narrow-sense BCH codes of code length n=4m-1/3(m≥3 is an integer) via Calderbank-Shor-Steane construction.By a careful analysis on properties of cyclotomic cosets in the defining sets of two ingredient BCH codes B(n,δ1)4 and B(n,δ2)4 that satisfies B(1)h(n,δ1)4 (∈) B(n,δ2)4 used for constructing AQECCs,we derive new families of AQECCs with dz>δmax+1,and thus we can eliminate the unreasonable restriction dz≤δmax devised in previous literature and obtain new AQECCs with greater asymmetry compared with the known results.Here δmax is the maximal designed distance of Hermitian dual-containing narrow-sense BCH codes of length n=4m-1/3.
asymmetric quantum error-correcting code (AQECC) Calderbank-Shor-Steane construction maximal designed distance BCH code
Ruihu Li Gen Xu Qiang Fu Fei Zuo
Department of Mathematics, College of Science, Air Force Engineering University Xian, Shaanxi, P. R Military Representative Office of Air Force in Huabei,Beijing, P. R. China
国际会议
秦皇岛
英文
546-550
2015-09-18（万方平台首次上网日期，不代表论文的发表时间）