Hybrid interpolation algorithm for algebraic soft decision decoding of Reed-Solomon codes

Abstract

The problem of bivariate interpolation in algebraic soft decision decoding of Reed-Solomon codes is considered. Re-encoding transformation for the case of layered interpolation algorithm is derived. A novel hybrid interpolation algorithm based on layered, Lee-O'Sullivan and Kötter algorithms is proposed. The proposed algorithm demonstrates considerable complexity reduction compared to the case of iterative interpolation algorithm.