Lower Bounds for Quasi-Cyclic Codes and New Binary Quantum Codes

This paper considers three kinds of quasi-cyclic codes of index two with one generator or two generators and their applications in quantum code construction. In accordance with the algebraic structure of linear codes, we determine the lower bounds of the symplectic weights of these quasi-cyclic code...

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Bibliographic Details
Main Authors: Yiting Liu, Chaofeng Guan, Chao Du, Zhi Ma
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/3/643