Upper Bounds on Algebraic Immunity of Boolean Power Functions

DOI10.1007/11799313_24zbMath1234.94061OpenAlexW1506034437MaRDI QIDQ3618665

Guang Gong, Kishan Chand Gupta, Yassir Nawaz

Publication date: 2 April 2009

Published in: Fast Software Encryption (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/11799313_24

zbMATH Keywords

polynomial functionsalgebraic attacksNiho exponentalgebraic immunitypower functionsKasami exponentinverse exponent

Mathematics Subject Classification ID

Cryptography (94A60)

Related Items (12)

Fast algebraic immunity of Boolean functions ⋮ On the Lower Block Triangular Nature of the Incidence Matrices to Compute the Algebraic Immunity of Boolean Functions ⋮ On algebraic immunity of trace inverse functions on finite fields of characteristic two ⋮ A simple stream cipher with proven properties ⋮ On extended algebraic immunity ⋮ On Computing the Immunity of Boolean Power Functions Against Fast Algebraic Attacks ⋮ Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks ⋮ An Infinite Class of Balanced Functions with Optimal Algebraic Immunity, Good Immunity to Fast Algebraic Attacks and Good Nonlinearity ⋮ Sequences, DFT and Resistance against Fast Algebraic Attacks ⋮ Some lower bounds on the algebraic immunity of functions given by their trace forms ⋮ Efficient probabilistic algorithm for estimating the algebraic properties of Boolean functions for large \(n\) ⋮ Algebraic immunity of bent functions of the Dillon class

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