Some New Non-binary Quantum Codes from One-generator Quasi-cyclic Codes
Some New Non-binary Quantum Codes from One-generator Quasi-cyclic Codes
This article studies one-generator and two-generator quasi-cyclic codes over finite fields. We present two versions of necessary and sufficient conditions for the symplectic selforthogonality of one-generator quasi-cyclic codes, using both matrix and polynomial approaches. We provide two versions of necessary and sufficient conditions for two-generator quasi-cyclic codes for symplectic self-orthogonality …