Some results on fast algebraic attacks and higher-order non-linearities
Author
Summary, in English
In this study, the authors investigate the resistance of Boolean functions against fast algebraic attacks and deduce a bound between fast algebraic immunity and higher-order non-linearity (it is the first time that a bound between these two cryptographic criteria is given). The authors then show that the fast algebraic immunity of the following two classes of Boolean functions is not good: (a) The repaired functions of the Tu-Deng function proposed by Carlet. The Tu-Deng function has optimum algebraic degree, optimum algebraic immunity and a very good non-linearity. However, it is weak against fast algebraic attacks. Carlet found this weakness and also tried to repair it. (b) An infinite class of balanced functions proposed by Tang et al., having optimum algebraic degree, optimum algebraic immunity and a very high non-linearity.
Department/s
Publishing year
2012
Language
English
Pages
41-46
Publication/Series
IET Information Security
Volume
6
Issue
1
Document type
Journal article
Publisher
Institution of Engineering and Technology
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Research group
- Crypto and Security
ISBN/ISSN/Other
- ISSN: 1751-8717