Hermitian Hulls of Cyclic Codes and Exact Dual Distances of Extended Linear Codes
This work develops a structure theory for cyclic codes to construct quantum stabilizer codes without needing classical codes to be Hermitian self-orthogonal. It uses a Jordan canonical form framework to systematically extend the code, reducing complexity by measuring an obstruction rank 'r'. This method yields new, record-breaking quantum code parameters for various classical codes.