Fast Decoding Algorithms for Reed-Solomon Codes
Reed-Solomon codes and BCH codes of large blocklength and large alphabet size are coming into widespread use in communication and storage systems. Secure communication systems commonly use a Reed-Solomon code as one method of jam protection. The importance of these codes is partly due to their superior error-correcting performance, but it is equally due to the availability of efficient decoding algorithms for them. Future requirements will exist for ever-larger error-control codes, but only if the decoding cost remains affordable. It is important to reduce the complexity of the decoding algorithms. These lectures explore the complexity of such algorithms.
KeywordsInverse Fourier Transform Chinese Remainder Theorem Solomon Code Convolution Algorithm Receive Word
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