On 4-Generator Quasi-Cyclic Codes and Their Applications to Quantum Codes
Wenyu Han, Tongjiang Yan, Yuhua Sun +2 more
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.
International Conference on Cyber Security, Artificial Intelligence and Digital Economy (CSAIDE)•Mar 13, 2026•0 citations