On Exact Algebraic [Non-]Immunity of S-Boxes Based on Power Functions

DOI10.1007/11780656_7zbMath1176.94036OpenAlexW1849095083MaRDI QIDQ5757710

Nicolas T. Courtois, Blandine Debraize, Eric Garrido

Publication date: 7 September 2007

Published in: Information Security and Privacy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/11780656_7

zbMATH Keywords

Gröbner basesBoolean functionsalgebraic attacksXL algorithmdesign of block and stream ciphershighly non-linear functions S-boxesmultivariate systems of equationsPower functionsXSL attack

Mathematics Subject Classification ID

Cryptography (94A60) Data encryption (aspects in computer science) (68P25) Authentication, digital signatures and secret sharing (94A62)

Related Items (4)

Implicit Quadratic Property of Differentially 4-Uniform Permutations ⋮ Basic theory in construction of Boolean functions with maximum possible annihilator immunity ⋮ On Cryptographically Significant Mappings over GF(2 n ) ⋮ On the Higher Order Nonlinearities of Boolean Functions and S-Boxes, and Their Generalizations

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