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Error and Erasure Correction of Interleaved Reed–Solomon Codes

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Coding and Cryptography (WCC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 3969))

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Abstract

We present an algorithm for error and erasure correction of interleaved Reed–Solomon codes. Our algorithm is based on an algorithm recently proposed by Bleichenbacher et al. This algorithm is able to correct many error patterns beyond half the minimum distance of the interleaved Reed–Solomon code. We extend the algorithm in a way, that it is not only able to correct errors, but can correct both, errors and erasures simultaneously. Furthermore we present techniques to describe the algorithm in an efficient way. This can help to reduce the complexity when implementing the algorithm.

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References

  1. Bleichenbacher, D., Kiayias, A., Young, M.: Decoding of interleaved Reed Solomon codes over noisy data. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) ICALP 2003. LNCS, vol. 2719, pp. 97–108. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  2. Justesen, J., Thommesen, C., Høholdt, T.: Decoding of concatenated codes with interleaved outer codes. In: Proc. of IEEE Intern. Symposium on Inf. Theory, Chicago, USA, p. 329 (2004)

    Google Scholar 

  3. Welch, L.R., Berlekamp, E.R.: Error correction for algebraic block codes. U. S. Patent 4 633 470, issued December 30 (1986)

    Google Scholar 

  4. Althaus, H.L., Leake, R.J.: Inverse of a finite-field Vandermonde matrix. IEEE Trans. Inform. Theory 15, 173 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  5. Klinger, A.: The Vandermonde matrix. Amer. Math. Monthly 74, 571–574 (1967)

    Article  MathSciNet  MATH  Google Scholar 

  6. Brown, A., Minder, L., Shokrollahi, A.: Probabilistic decoding of interleaved rs-codes on the q-ary symmetric channel. In: Proc. of IEEE Intern. Symposium on Inf. Theory, Chicago, USA, p. 327 (2004)

    Google Scholar 

  7. Schmidt, G., Sidorenko, V.R., Bossert, M.: Interleaved Reed–Solomon codes in concatenated code designs. In: Proc. of IEEE ISOC ITW2005 on Coding and Complexity, Rotorua, New Zealand, pp. 187–191 (2005)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Schmidt, G., Sidorenko, V.R., Bossert, M. (2006). Error and Erasure Correction of Interleaved Reed–Solomon Codes. In: Ytrehus, Ø. (eds) Coding and Cryptography. WCC 2005. Lecture Notes in Computer Science, vol 3969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779360_3

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  • DOI: https://doi.org/10.1007/11779360_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35481-9

  • Online ISBN: 978-3-540-35482-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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