A note on Kloosterman sums and its application

A note on Kloosterman sums and its application

The number of times the trace of a certain function on an extension field assumes a fixed value in the base field is considered. It is shown that the set of all such values enjoys a Fourier transform like property with Kloosterman sums. The application of this property to coding and cryptography is...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Blake, I.F., Garefalakis, T.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Elliptic curves
Equations
Finite element methods
Fourier transforms
Galois fields
Mathematics
Polynomials
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Beschreibung
Zusammenfassung:The number of times the trace of a certain function on an extension field assumes a fixed value in the base field is considered. It is shown that the set of all such values enjoys a Fourier transform like property with Kloosterman sums. The application of this property to coding and cryptography is briefly discussed.
DOI:10.1109/ITA.2008.4601016