Some results on fast algebraic attacks and higher-order non-linearities
Wang, Q. ; Johansson, Thomas LU
and Kan, H.
(2012)
In IET Information Security
6(1).
p.41-46
- Abstract
- 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.,... (More)
- 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2432928
- author
- Wang, Q.
; Johansson, Thomas
LU
and Kan, H.
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IET Information Security
- volume
- 6
- issue
- 1
- pages
- 41 - 46
- publisher
- Institution of Engineering and Technology
- external identifiers
-
- wos:000312961600006
- scopus:84863373976
- ISSN
- 1751-8717
- DOI
- 10.1049/iet-ifs.2011.0090
- language
- English
- LU publication?
- yes
- id
- 95d84567-ead5-4564-a8f0-6d86a2d515c6 (old id 2432928)
- date added to LUP
- 2016-04-04 08:02:17
- date last changed
- 2023-09-05 14:01:35
@article{95d84567-ead5-4564-a8f0-6d86a2d515c6,
abstract = {{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.}},
author = {{Wang, Q. and Johansson, Thomas and Kan, H.}},
issn = {{1751-8717}},
language = {{eng}},
number = {{1}},
pages = {{41--46}},
publisher = {{Institution of Engineering and Technology}},
series = {{IET Information Security}},
title = {{Some results on fast algebraic attacks and higher-order non-linearities}},
url = {{http://dx.doi.org/10.1049/iet-ifs.2011.0090}},
doi = {{10.1049/iet-ifs.2011.0090}},
volume = {{6}},
year = {{2012}},
}