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A Class of Fermat Curves for which Weil-Serre’s Bound Can Be Improved

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3857))

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Abstract

In this paper we introduce the class of semiprimitive Fermat curves, for which Weil-Serre’s bound can be improved using Moreno-Moreno p-adic techniques. The basis of the improvement is a technique for giving the exact divisibility for Fermat curves, by reducing the problem to a simple finite computation.

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References

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© 2006 Springer-Verlag Berlin Heidelberg

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Castro, F.N., Gomez, E., Moreno, O. (2006). A Class of Fermat Curves for which Weil-Serre’s Bound Can Be Improved. In: Fossorier, M.P.C., Imai, H., Lin, S., Poli, A. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2006. Lecture Notes in Computer Science, vol 3857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11617983_12

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  • DOI: https://doi.org/10.1007/11617983_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31423-3

  • Online ISBN: 978-3-540-31424-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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