On the Higher Order Nonlinearities of Algebraic Immune Functions

DOI10.1007/11818175_35zbMath1129.94015OpenAlexW1485229544MaRDI QIDQ5756625

Claude Carlet

Publication date: 4 September 2007

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/11818175_35

zbMATH Keywords

block cipherBoolean functionstream cipheralgebraic immunityalgebraic attackalgebraic degreehigher order nonlinearity

Mathematics Subject Classification ID

Cryptography (94A60)

Related Items (15)

On the algebraic immunity of direct sum constructions ⋮ Improving the high order nonlinearity lower bound for Boolean functions with given algebraic immunity ⋮ Cryptographic properties of the hidden weighted bit function ⋮ Revisiting some results on APN and algebraic immune functions ⋮ The lower bound on the second-order nonlinearity of a class of Boolean functions with high nonlinearity ⋮ On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions ⋮ Unnamed Item ⋮ Concatenations of the hidden weighted bit function and their cryptographic properties ⋮ A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity ⋮ 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 ⋮ On the Higher Order Nonlinearities of Boolean Functions and S-Boxes, and Their Generalizations ⋮ Further properties of several classes of Boolean functions with optimum algebraic immunity ⋮ The lower bounds on the second order nonlinearity of three classes of Boolean functions with high nonlinearity ⋮ A construction of Boolean functions with good cryptographic properties

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