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A Fast Algorithm for the Syndrome Calculation in Algebraic Decoding of Reed–Solomon Codes

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3 Author(s)
Tsung-Ching Lin ; I-Shou Univ., Ta-Hsu Hsiang ; Truong, T.K. ; Chen, P.D.

In this paper, Fedorenko and Trifonov's procedure is applied to evaluate the syndrome of the received word in time-domain Reed-Solomon decoders. This application leads to a substantial reduction of the computational complexity of the syndrome polynomial for correcting both errors and erasures. Moreover, simulation results for this new syndrome method are given.

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Communications, IEEE Transactions on  (Volume:55 ,  Issue: 12 )