Paper 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.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Published elsewhere. Diplomarbeit, submitted Summer 2008
Keywords
algebraic attacksmultivariate polynomialsboolean functions
Contact author(s)
thomas dullien @ rub de
History
2009-06-09: received
Short URL
https://ia.cr/2009/275
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2009/275,
      author = {Thomas Dullien},
      title = {Algebraic Attacks specialized to \(\mathbb{F}_2\) (Diplomarbeit)},
      howpublished = {Cryptology ePrint Archive, Paper 2009/275},
      year = {2009},
      note = {\url{https://eprint.iacr.org/2009/275}},
      url = {https://eprint.iacr.org/2009/275}
}
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