Quantum codes from nearly self-orthogonal quaternary linear codes

Hongying Jiao, Jinguo Zhang, Miaohua Liu

Vladimir D. Tonchev

A simple construction of quaternary hermitian self-orthogonal codes with parameters $[2n+1,k+1]$ and $[2n+2,k+2]$ from a given pair of self-orthogonal $[n,k]$ codes, and its link to quantum codes is considered. As an application, an optimal quaternary linear $[28,20,6]$ dual containing code is found that yields a new optimal $[[28,12,6]]$ quantum code.

Xiusheng Liu, Peng Hu

Hualu Liu, Xiusheng Liu, Yuan Yuan

Ruihu Li, Xueliang Li, Zongben Xu

We give elementary recursive constructions of quaternary self-orthogonal codes with dual distance three for all n ≥ 5. Consequently, good linear quantum codes of minimum distance three for such length n are obtained. Almost all of these linear quantum codes are optimal or near optimal.

Xiaoyan Zhang