Quasi-cyclic Hermitian construction of binary quantum codes
Information Theory
2025-11-25 v2 math.IT
Abstract
In this paper, we propose a sufficient condition for a family of 2-generator self-orthogonal quasi-cyclic codes with respect to Hermitian inner product. Supported in the Hermitian construction, we show algebraic constructions of good quantum codes. 30 new binary quantum codes with good parameters improving the best-known lower bounds on minimum distance in Grassl's code tables \cite{Grassl:codetables} are constructed.
Cite
@article{arxiv.2210.04487,
title = {Quasi-cyclic Hermitian construction of binary quantum codes},
author = {Liangdong Lu and Gaochi Zhang and Ganyu Feng and Wenzheng Ma},
journal= {arXiv preprint arXiv:2210.04487},
year = {2025}
}