Work

Symplectic Self-Orthogonal Quasi-Cyclic Codes

Year: 2024

Type: article

Abstract: In this paper, we establish the necessary and sufficient conditions for quasi-cyclic (QC) codes with index even to be symplectic self-orthogonal. Subsequently, we present the lower and upper bounds on the minimum symplectic distances of a class of 1-generator QC codes and their symplectic dual codes by decomposing code spaces. As an application, we construct many new binary symplectic self-orthogonal QC codes with excellent parameters, leading to 117 record-breaking quantum error-correction codes.

Source: IEEE Transactions on Information Theory

DOI: 10.1109/tit.2024.3497008

Authors: Chaofeng Guan, Ruihu Li, Jingjie Lv, Zhi Ma

Institutions: Air Force Engineering University, Dongguan University of Technology

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G1853049553, G4385366482