Conceptual

Goppa and Quantum Codes from Maximal Curves

Characterizes algebraic-geometry (Goppa) codes and their associated quantum stabilizer codes built from a family of maximal curves over finite fields defined by y^n = x^m + x, deriving code parameters (length, dimension, designed minimum distance) from the curve's divisors and Riemann-Roch spaces, proposing modifications that improve those parameters, and validating performance under noise through simulation.