CubeOtherVectorSpace-final.pdf (384.54 kB)
Comparison of cube attacks over different vector spaces
conference contribution
posted on 2016-01-15, 11:32 authored by Richard Winter, Ana SalageanAna Salagean, Raphael C.-W. PhanWe generalise the cube attack of Dinur and Shamir (and the similar AIDA attack of Vielhaber) to a more general higher order differentiation attack, by summing over an arbitrary subspace of the space of initialisation vectors. The Moebius transform can be used for efficiently examining all the subspaces of a big space, similar to the method used by Fouque and Vannet for the usual cube attack.
Secondly we propose replacing the Generalised Linearity Test proposed by Dinur and Shamir with a test based on higher order differentiation/Moebius transform. We show that the proposed test provides all the information provided by the Generalised Linearity Test, at the same computational cost. In addition, for functions that do not pass the linearity test it also provides, at no extra cost, an estimate of the degree of the function. This is useful for guiding the heuristics for the cube/AIDA attacks.
History
School
- Science
Department
- Computer Science
Published in
IMA International Confernece on Cryptography and Coding LNCSVolume
9496Pages
225 - 238Citation
WINTER, R., SALAGEAN, A.M. and PHAN, R.C-W., 2015. Comparison of cube attacks Over different vector spaces. Presented at the 15th IMA International Conference, (IMACC 2015), Oxford, UK, December 15-17, pp. 225-238.Publisher
© SpringerVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015Notes
The final publication is available at http://dx.doi.org/10.1007/978-3-319-27239-9_14ISBN
9783319272382ISSN
0302-9743Publisher version
Book series
Lecture Notes in Computer Science;9496Language
- en