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

Abstract : 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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Submitted on : Thursday, August 11, 2011 - 2:32:09 PM
Last modification on : Tuesday, July 14, 2020 - 11:04:04 AM
Long-term archiving on: : Monday, November 12, 2012 - 3:18:03 PM

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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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