Monomial bent functions and Stickelberger's theorem

DOI10.1016/J.FFA.2007.12.001zbMath1159.11052OpenAlexW2025045554MaRDI QIDQ938769

Gregor Leander, Philippe Langevin

Publication date: 27 August 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2007.12.001

zbMATH Keywords

Gauss sumnonlinearityBoolean functionsbent functionsGold functionKasami functionStickelberger's congruence

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Other character sums and Gauss sums (11T24) Boolean functions (06E30)

Related Items (10)

Some general properties of modified bent functions through addition of indicator functions ⋮ The Hamming Distance Spectrum Between Self-Dual Maiorana–McFarland Bent Functions ⋮ The Walsh transform of a class of monomial functions and cyclic codes ⋮ Some congruences of Kloosterman sums and their characteristic polynomials ⋮ Intersection distribution, non-hitting index and Kakeya sets in affine planes ⋮ The solution to an open problem on the bentness of Mesnager's functions ⋮ A note on vectorial bent functions ⋮ Constructions of negabent functions over finite fields ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• New cyclic difference sets with Singer parameters
• A new class of monomial bent functions
• Finding nonnormal bent functions
• The Gross-Koblitz formula revisited
• Monomial bent functions
• Cubic Monomial Bent Functions: A Subclass of $\mathcal{M}$
• On Some Exponential Sums
• A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences

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