The L-Function of Gold Exponential Sum

Kenneth Shum (), P. Vijay Kumar () and Tor Helleseth ()
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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

A chapter in Finite Fields and Applications, 2001, pp 418-427 from Springer

Abstract: 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.

Keywords: Extension Field; Cyclotomic Field; Gold Sequence; Algebraic Function Field; Reciprocal Root (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56755-1_32

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DOI: 10.1007/978-3-642-56755-1_32

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