Decoding Five Times Extended Reed Solomon Codes Using Syndromes
Keywords:Algorithm, extended Reed Solomon codes, error correction decoding, syndromes
Recently a new family of five times extended Reed Solomon codes constructed over certain finite fields GF(2 zeta), where zeta >= 3 is an odd integer, was discovered. Until now only an erasure decoding algorithm for these codes was published. In this paper a new decoding algorithm is presented, which allows correcting up to two errors in a codeword from the five times extended Reed Solomon codes. The proposed decoding algorithm is based on syndrome usage.
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How to Cite
Farkaš, P., & Rakús, M. (2021). Decoding Five Times Extended Reed Solomon Codes Using Syndromes. COMPUTING AND INFORMATICS, 39(6), 1311–1335. https://doi.org/10.31577/cai_2020_6_1311