Cryptology ePrint Archive: Report 2005/437
On Boolean functions with maximum algebraic immunity
Abstract: In this paper two important issues in theory of algebraic
attacks are addressed. We first provide a theoretical framework for better
understanding of design rationale in construction of Boolean
functions with maximum algebraic immunity. Based on these results,
an iterative design of functions with maximum possible algebraic
immunity is proposed. In contrast to known constructions, our method
generates balanced functions of maximum degree and high
nonlinearity, that is functions satisfying all main cryptographic
criteria. Additionally, functions in this class have a low
implementation cost due to a small number of terms in the ANF.
Secondly, for a given
Boolean function, a novel algorithm
for deciding the existence of annihilators of small degree
is presented. The algorithm utilizes the known
methods in a slightly different manner which results in
a significantly reduced complexity of computation.
Category / Keywords: Algebraic attacks, Algebraic Immunity, Annihilators, Stream ciphers,
Date: received 29 Nov 2005, withdrawn 6 Dec 2005
Contact author: enespasalic at yahoo se
Available format(s): (-- withdrawn --)
Note: The proofs of certain results are incorrect (one subcase has not be considered) and therefore some of the main results are not valid.
Unless this is repaired I find that withdrawing the paper is a best solution.
Version: 20051206:183106 (All versions of this report)
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