MRHS equation systems

  • Authors:
  • Håvard Raddum

  • Affiliations:
  • Selmersenteret, University of Bergen, Norway

  • Venue:
  • SAC'07 Proceedings of the 14th international conference on Selected areas in cryptography
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

We show how to represent a non-linear equation over GF(2) using linear systems with multiple right hand sides. We argue that this representation is particularly useful for constructing equation systems describing ciphers using an S-box as the only means for non-linearity. Several techniques for solving systems of such equations were proposed in earlier work, and are also explained here. Results from experiments with DES are reported. Finally we use our representation to link a particular problem concerning vector spaces to the security of ciphers with S-boxes as the only non-linear operation.