Innovative Decoding Methods for Increased Error Correction of Reed-Solomon Codes and Related Ring Codes

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Innovative Decoding Methods for Increased Error Correction of Reed-Solomon Codes and Related Ring Codes. The project addresses the holy grail in the area of Reed-Solomon/BCH decoding, namely the derivation of algebraic soft-decision decoding algorithms. These codes are the most frequently used error-correcting block codes and their performance does not fulfill its full potential due to the lack of algebraic soft-decision decoding methods. In the project the system-theoretic behavioural view is employed, which has proved itself successful in this area in recent years. The project aims to connect soft-decision decoding methods with the decoding of ring codes. Outcomes are decoding methods and algorithms for the australian telecommunications industry that enable increased error correction for Reed-Solomon/BCH codes and related ring codes.