Keyword

bent functions

Description: Boolean functions with maximum distance from all affine Boolean functions, studied in cryptography and combinatorics.

Primary topic: Coding theory and cryptography (91%)

Wikidata ID: wiki/Q4890350

OpenAlex ID: keywords/bent-functions

On “bent” functions

1976 · O.S Rothaus · Journal of Combinatorial Theory Series A · 1,321

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Codes, Bent Functions and Permutations Suitable For DES-like Cryptosystems

1998 · Claude Carlet, Pascale Charpin, et al. · Designs Codes and Cryptography · 611

Generalized bent functions and their properties

1985 · P.V Kumar, R.A Scholtz, et al. · Journal of Combinatorial Theory Series A · 446

Perfect nonlinear S-boxes

2007 · Kaisa Nyberg · Springer eBooks · 425

Nonlinearity Criteria for Cryptographic Functions

2007 · Willi Meier, Othmar Staffelbach · Springer eBooks · 405

Links between differential and linear cryptanalysis

1995 · Florent Chabaud, Serge Vaudenay · Lecture notes in computer science · 390

New cyclic difference sets with Singer parameters

2004 · J.F Dillon, Hans Dobbertin · Finite Fields and Their Applications · 278

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Bent-function sequences

1982 · J. Olsen, R. Scholtz, et al. · IEEE Transactions on Information Theory · 264

Propagation Characteristics of Boolean Functions

1991 · Bart Preneel, Werner Van Leekwijck, et al. · Lecture notes in computer science · 246

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Construction of bent functions and balanced Boolean functions with high nonlinearity

1995 · Hans Dobbertin · Lecture notes in computer science · 239

Bent Functions

2016 · Sihem Mesnager · Springer eBooks · 234

Four decades of research on bent functions

2015 · Claude Carlet, Sihem Mesnager · Designs Codes and Cryptography · 231

Monomial and quadratic bent functions over the finite fields of odd characteristic

2006 · T. Helleseth, A. Kholosha · IEEE Transactions on Information Theory · 213

Two New Classes of Bent Functions

2007 · Claude Carlet · Springer eBooks · 202

Prime-phase sequences with periodic correlation properties better than binary sequences

1991 · P.V. Kumar, O. Moreno · IEEE Transactions on Information Theory · 167

Monomial bent functions

2006 · N.G. Leander · IEEE Transactions on Information Theory · 154

Plateaued Functions

1999 · Yuliang Zheng, Xian-Mo Zhang · Lecture notes in computer science · 154

Rotation symmetric Boolean functions—Count and cryptographic properties

2007 · Pantelimon Stănică, Subhamoy Maitra · Discrete Applied Mathematics · 151

Construction of bent functions via Niho power functions

2005 · Hans Dobbertin, Gregor Leander, et al. · Journal of Combinatorial Theory Series A · 145

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Bent Functions: Fundamentals and Results

2016 · Sihem Mesnager · CERN Document Server (European Organization for Nuclear Research) · 142

Quasi-orthogonal sequences for code-division multiple-access systems

2000 · Kyeongcheol Yang, Young-Ky Kim, et al. · IEEE Transactions on Information Theory · 141

A new class of monomial bent functions

2007 · Anne Canteaut, Pascale Charpin, et al. · Finite Fields and Their Applications · 138

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Partially-bent functions

1993 · Claude Carlet · Designs Codes and Cryptography · 138

On Bent and Semi-Bent Quadratic Boolean Functions

2005 · P. Charpin, E. Pasalic, et al. · IEEE Transactions on Information Theory · 137

A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity

2010 · Ziran Tu, Yingpu Deng · Designs Codes and Cryptography · 128

Works count: 1,527

Citation count: 18,710