[Resource Topic] 2009/275: Algebraic Attacks specialized to \(\mathbb{F}_2\) (Diplomarbeit)

Welcome to the resource topic for 2009/275

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

Authors: 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.

ePrint: https://eprint.iacr.org/2009/275

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