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The L-Function of Gold Exponential Sum

In: Finite Fields and Applications

Author

Listed:
  • Kenneth Shum

    (University of Southern Cahfornia, Department of Electrical Engineering — Systems)

  • P. Vijay Kumar

    (University of Southern Cahfornia, Department of Electrical Engineering — Systems)

  • Tor Helleseth

    (University of Bergen, Department of Informatics)

Abstract

In this paper, we show that the Gold exponential sum is maximal in some extension field of the ground field. The smallest cyclotomic field which contains the roots of the L-function is identified. This simplifies the explicit calculation of the roots.

Suggested Citation

  • Kenneth Shum & P. Vijay Kumar & Tor Helleseth, 2001. "The L-Function of Gold Exponential Sum," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 418-427, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-56755-1_32
    DOI: 10.1007/978-3-642-56755-1_32
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