MORE VECTORIAL BOOLEAN FUNCTIONS WITH UNBOUNDED NONLINEARITY PROFILE

DOI10.1142/S0129054111008696zbMath1236.94051MaRDI QIDQ3173468

Claude Carlet

Publication date: 10 October 2011

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

zbMATH Keywords

covering radiusReed-Muller codeBoolean functionS-boxhigher-order nonlinearity

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cryptography (94A60)

Related Items (6)

On third-order nonlinearity of biquadratic monomial Boolean functions ⋮ A new lower bound on the second-order nonlinearity of a class of monomial bent functions ⋮ A lower bound on the third-order nonlinearity of the simplest \(\mathcal{PS}_{a p}\) bent functions ⋮ Monomial Boolean functions with large high-order nonlinearities ⋮ On second-order nonlinearity and maximum algebraic immunity of some bent functions in \(\mathcal{PS}^{+}\) ⋮ Improving lower bounds on the second-order nonlinearity of three classes of Boolean functions

Cites Work

• Unnamed Item
• Nonlinearities of S-boxes
• An improved list decoding algorithm for the second order Reed-Muller codes and its applications
• An improved Bombieri-Weil bound and applications to coding theory
• The weights of the orthogonals of the extended quadratic binary Goppa codes
• Improving the Upper Bounds on the Covering Radii of Binary Reed–Muller Codes
• Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications

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