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Error and Erasure Correction of Interleaved Reed–Solomon Codes

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

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)

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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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