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Communication Dans Un Congrès Année : 2011

On divisibility of exponential sums of polynomials of special type over fields of characteristic 2

Résumé

We study divisibility by eight of exponential sums of several classes of functions over finite elds of characteristic two. For the binary classical Kloosterman sums K(a) over such fi elds we give a simple recurrent algorithm for finding the largest k, such that 2k divides the Kloosterman sum K(a). This gives a simple description of zeros of such Kloosterman sums.
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Dates et versions

inria-00614453 , version 1 (11-08-2011)

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  • HAL Id : inria-00614453 , version 1

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Leonid A. Bassalygo, Victor A. Zinoviev. On divisibility of exponential sums of polynomials of special type over fields of characteristic 2. WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.389-396. ⟨inria-00614453⟩

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