On decoding interleaved reed-solomon codes

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2011

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Yayla, Oğuz

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Probabilistic simultaneous polynomial reconstruction algorithm of Bleichenbacher-Kiayias-Yung is extended to the polynomials whose degrees are allowed to be distinct. Furthermore, it is observed that probability of the algorithm can be increased. Specifically, for a finite field $\F$, we present a probabilistic algorithm which can recover polynomials $p_1,\ldots, p_r \in \F[x]$ of degree less than $k_1,k_2,\ldots,k_r$, respectively with given field evaluations $p_l(z_i) = y_{i,l}$ for all $i \in I$, $

Subject Keywords

Reed-Solomon codes., Ciphers.

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http://etd.lib.metu.edu.tr/upload/12613621/index.pdf
https://hdl.handle.net/11511/21239

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Graduate School of Applied Mathematics, Thesis

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Citation Formats

O. Yayla, “On decoding interleaved reed-solomon codes,” Ph.D. - Doctoral Program, Middle East Technical University, 2011.