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.
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© 2001 Springer-Verlag Berlin Heidelberg
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Shum, K., Kumar, P.V., Helleseth, T. (2001). The L-Function of Gold Exponential Sum. In: Jungnickel, D., Niederreiter, H. (eds) Finite Fields and Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56755-1_32
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DOI: https://doi.org/10.1007/978-3-642-56755-1_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62498-8
Online ISBN: 978-3-642-56755-1
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