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Decoding of codes on the klein quartic

  • Section 3 Geometric Codes
  • Conference paper
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EUROCODE '90 (EUROCODE 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 514))

Abstract

Following R. Pellikaan who gave, in 1989, an algorithm which decodes geometric codes up to \(t^* = \left[ {\frac{{d^* - 1}}{2}} \right]\) errors where d* is the designed distance of the code, we describe an effective decoding procedure for some geometric codes on the Klein quartic.

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References

  1. V.D. Goppa. "Geometry and Codes", Mathematics and its applications, soviet Series 24. Kluwer Ac Publ. Dordrecht, The Netherlands, 1989.

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  2. R. Pellikaan: "On a decoding algorithm for codes on maximal curves". IEEE Trans Inf Theory, Vol. 35, No 6, 1989.

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  3. A.N. Skorobogatov, S.G. Vladut: "On the decoding of algebraic — Geometric Codes", IEEE Trans Inf Theory, Vol. 36, 5 (Sept. 1990), 1051–1060.

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Gérard Cohen Pascale Charpin

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© 1991 Springer-Verlag Berlin Heidelberg

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Rotillon, D., Thiongly, J.A. (1991). Decoding of codes on the klein quartic. In: Cohen, G., Charpin, P. (eds) EUROCODE '90. EUROCODE 1990. Lecture Notes in Computer Science, vol 514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54303-1_126

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  • DOI: https://doi.org/10.1007/3-540-54303-1_126

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54303-9

  • Online ISBN: 978-3-540-47546-0

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