On zeros of Kloosterman sums

DOI10.1007/s10623-010-9457-xzbMath1218.11112OpenAlexW2086188341MaRDI QIDQ2430691

Marko J. Moisio, Petr Lisoněk

Publication date: 8 April 2011

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-010-9457-x

zbMATH Keywords

finite fieldsKloosterman sumsbent functiondivision polynomialhyperbent function

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cryptography (94A60) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24)

Related Items (12)

On classical Kloosterman sums ⋮ Non-existence results for vectorial bent functions with Dillon exponent ⋮ Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients ⋮ On divisibility of exponential sums of polynomials of special type over fields of characteristic 2 ⋮ On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients ⋮ On generalized hyper-bent functions ⋮ Four decades of research on bent functions ⋮ On subspaces of Kloosterman zeros and permutations of the form \(L_1(x^{-1})+L_2(x)\) ⋮ On Kloosterman sums over finite fields of characteristic 3 ⋮ A note on the distinctness of some Kloosterman sums ⋮ Inverse function is not component-wise uniform ⋮ An efficient deterministic test for Kloosterman sum zeros

Uses Software

• Magma

Cites Work

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