Binary Kloosterman Sums with Value 4
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Publication:3104685
DOI10.1007/978-3-642-25516-8_5zbMath1247.11148OpenAlexW2127234324MaRDI QIDQ3104685
Sihem Mesnager, Jean-Pierre Flori, Gérard D. Cohen
Publication date: 16 December 2011
Published in: Cryptography and Coding (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-25516-8_5
elliptic curvesBoolean functionsbent functionsKloosterman sumsmaximum nonlinearityWalsh-Hadamard transformsemi-bent functionshyper-bent functions
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Gauss and Kloosterman sums; generalizations (11L05)
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On classical Kloosterman sums ⋮ On generalized hyper-bent functions ⋮ Four decades of research on bent functions ⋮ The solution to an open problem on the bentness of Mesnager's functions ⋮ A class of hyper-bent functions and Kloosterman sums ⋮ A Conjecture About Gauss Sums and Bentness of Binomial Boolean Functions
Uses Software
Cites Work
- Divisibility properties of classical binary Kloosterman sums
- Nonsingular plane cubic curves over finite fields
- On ``bent functions
- On \(\mathbb{Z}_4\)-linear Goethals codes and Kloosterman sums
- A new class of bent and hyper-bent Boolean functions in polynomial forms
- Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
- Elliptic Curves and Their Applications to Cryptography
- An efficient deterministic test for Kloosterman sum zeros
- The weights of the orthogonals of the extended quadratic binary Goppa codes
- Monomial bent functions
- Constructions of quadratic bent functions in polynomial forms
- On the Connection between Kloosterman Sums and Elliptic Curves
- Hyperbent Functions, Kloosterman Sums, and Dickson Polynomials
- The Arithmetic of Elliptic Curves
- A New Family of Hyper-Bent Boolean Functions in Polynomial Form
- Matters Computational
- Semibent Functions From Dillon and Niho Exponents, Kloosterman Sums, and Dickson Polynomials
- Faster Multiplication in GF(2)[x]
- Abelian varieties over finite fields
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