Cryptology ePrint Archive: Report 2009/275

Algebraic Attacks specialized to \(\mathbb{F}_2\) (Diplomarbeit)

Thomas Dullien

Abstract: This thesis studies the ring of boolean functions. A simple algorithm that performs similarly to the euclidian algorithm is derived, and it's performance for solving multivariate boolean equation systems is evaluated. Furthermore, the Raddum-Semaev equation system solving algorithm is put into geometric context, and the pseudo-euclidian algorithm is generalized to multivariate polynomial rings over arbitrary finite fields.

Category / Keywords: secret-key cryptography / algebraic attacks, multivariate polynomials, boolean functions

Publication Info: Diplomarbeit, submitted Summer 2008

Date: received 9 Jun 2009

Contact author: thomas dullien at rub de

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Version: 20090609:150319 (All versions of this report)

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