On the Algebraic Immunity of Symmetric Boolean Functions

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Article 01 Jan 2005 Belgium Publisher:Springer Berlin Heidelberg

Authors: An Braeken; Bart Preneel;

doi: 10.1007/11596219_4

On the Algebraic Immunity of Symmetric Boolean Functions

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Abstract

In this paper, we analyze the algebraic immunity of symmetric Boolean functions. The algebraic immunity is a property which measures the resistance against the algebraic attacks on symmetric ciphers. We identify a set of lowest degree annihilators for symmetric functions and propose an efficient algorithm for computing the algebraic immunity of a symmetric function. The existence of several symmetric functions with maximum algebraic immunity is proven. In this way, we have found a new class of functions which have good implementation properties and maximum algebraic immunity.

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Belgium

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Keywords

symmetric BF, algebraic immunity

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