Soft decoding of algebraic–geometric codes using Koetter-Vardy algorithm
L. Chen, R.A. Carrasco · Electronics Letters · 2009
The first soft-decision decoding algorithm for algebraic–geometric codes is presented. This algorithm is developed based on the Koetter-Vardy algorithm, which was proposed for the decoding of Reed-Solomon codes. The interpolation process is modified by redefining the zero condition of a trivariate polynomial and introducing complexity reducing methods. Simulation results show that 0.7 and 1.7 dB performance improvements over the hard-decision decoding bound can be achieved in AWGN and quasi-static Rayleigh fading channels, respectively.