Work

Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes

Year: 2024

Type: article

Abstract: Quasi-twisted codes are used here as the classical ingredients in the so-called Construction X for quantum error-control codes. The construction utilizes nearly self-orthogonal codes to design quantum stabilizer codes. We expand the choices of the inner product to also cover the symplectic and trace-symplectic inner products, in addition to the original Hermitian one. A refined lower bound on the minimum distance of the resulting quantum codes is established and illustrated. We report numerous record breaking quantum codes from our randomized search for inclusion in the updated online database.

Source: IEEE Transactions on Information Theory

DOI: 10.1109/tit.2024.3503420

Authors: Martianus Frederic Ezerman, Markus Grassl, San Ling, Ferruh Özbudak, Buket Özkaya

Institutions: Nanyang Technological University, University of Gdańsk, Sabancı Üniversitesi, Middle East Technical University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Nanyang Technological University, Fundacja na rzecz Nauki Polskiej