Error-Correcting Nonbinary Quantum Codes Based on Algebraic Curves
Keywords:
Algebraic geometric codes; Nonbinary quantum codesAbstract
For nonbinary quantum error-correcting codes, we present a new explanation and demonstrate a generalized CSS construction. Nonbinary quantum stabilizer codes of various lengths, dimensions, and minimum distances from algebraic curves can be constructed using this method. From a Garcia-Stichtenoth tower of function fields, we also provide polynomial-time constructible asymptotic good nonbinary quantum codes.