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Pseudorandom Sequences from Elliptic Curves

In: Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Author

Listed:
  • P. H. T. Beelen

    (Technische Universiteit Eindhoven, Department of Mathematics and Computer Science)

  • J. M. Doumen

    (Technische Universiteit Eindhoven, Department of Mathematics and Computer Science)

Abstract

In this article we will generalize some known constructions to produce pseudorandom sequences with the aid of elliptic curves. We will make use of both additive and multiplicative characters on elliptic curves. Keywords are: Artin-Schreier extension, Kummer extension, elliptic curve, exponential sum, correlation, balance, linear recurrencies.

Suggested Citation

  • P. H. T. Beelen & J. M. Doumen, 2002. "Pseudorandom Sequences from Elliptic Curves," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 37-52, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59435-9_3
    DOI: 10.1007/978-3-642-59435-9_3
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