METHODS AND APPARATUS FOR PERFORMING REED-SOLOMON ENCODING BY LAGRANGIAN POLYNOMIAL FITTING

摘要

An integrated circuit for implementing a Reed-Solomon encoder circuit is provided. The encoder circuit may include partial syndrome calculation circuitry and matrix multiplication circuitry. The partial syndrome calculation circuitry may receive a message and generate corresponding partial syndromes. The matrix multiplication circuitry may receive the partial syndromes and may compute parity check symbols by multiplying the partial syndromes by predetermined Lagrangian polynomial coefficients. The parity check symbol generation step may be performed in one clock cycle or multiple clock cycles.