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International Conference on Cyber Security, Artificial Intelligence and Digital Economy (CSAIDE)

On 4-Generator Quasi-Cyclic Codes and Their Applications to Quantum Codes

Wenyu Han, Tongjiang Yan, Yuhua Sun, Xubo Zhao, Chune Zhao

Published Mar 13, 2026• 0 citations
Publisher

Abstract

This paper investigates a class of 4-generator quasi-cyclic (QC) codes of index 4, together with their duals under the Euclidean, Hermitian, and symplectic inner products. We derive explicit generator characterizations of their dual codes and establish sufficient conditions for dual containment. Based on these structural results, several new quantum stabilizer codes and quantum synchronizable codes with desirable parameters are constructed.

DOI
10.1145/3819836.3819858

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