Title
Remarks on the Attack of Fouque et al. against the lIC Scheme.
Abstract
In 2007, l-Invertible Cycles (lIC) was proposed by Ding et al. This is one of the most efficient trapdoors for encryption/signature schemes, and of the mixed field type for multivariate quadratic public-key cryptosystems. Such schemes fit on the implementation over low cost smart cards or PDAs. In 2008, Fouque et al. proposed an efficient attack against the lIC signature scheme by using Grobner basis algorithms. However, they only explicitly dealt with the odd case, i.e. l is odd, but the even case;, they only implemented their proposed attack in the odd case. In this paper, we propose an another practical attack against the lIC encryption/signature scheme. Our proposed attack does not employ Grobner basis algorithms, and can be applied to the both even and odd cases. We show the efficiency of the attack by using some experimental results. Furthermore, the attack can be also applied to the lIC-scheme. To the best of our knowledge, we for the first time show some experimental results of a practical attack against the lIC- scheme for the even case.
Year
Venue
DocType
2008
ADVANCES IN INFORMATION AND COMPUTER SECURITY, PROCEEDINGS
Journal
Volume
ISSN
Citations 
5312
0302-9743
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Naoki Ogura1124.05
Shigenori Uchiyama237140.90