Title
Algebraic cryptanalysis of 58-round SHA-1
Abstract
In 2004, a new attack against SHA-1 has been proposed by a team leaded by Wang [15]. The aim of this article1 is to sophisticate and improve Wang's attack by using algebraic techniques. We introduce new notions, namely semi-neutral bit and adjuster and propose then an improved message modification technique based on algebraic techniques. In the case of the 58-round SHA-1, the experimental complexity of our improved attack is 231 SHA-1 computations, whereas Wang's method needs 234 SHA-1 computations. We have found many new collisions for the 58-round SHA-1. We also study the complexity of our attack for the full SHA-1.
Year
DOI
Venue
2007
10.1007/978-3-540-74619-5_22
FSE
Keywords
Field
DocType
sha-1 computation,experimental complexity,new collision,new attack,algebraic technique,improved message modification technique,new notion,improved attack,full sha-1,algebraic cryptanalysis,58-round sha-1,grobner basis,sha 1
Algebraic number,Algebra,SHA-1,Algebraic cryptanalysis,Theoretical computer science,Gröbner basis,Mathematics,Computation
Conference
Volume
ISSN
ISBN
4593
0302-9743
3-540-74617-X
Citations 
PageRank 
References 
14
0.87
14
Authors
4
Name
Order
Citations
PageRank
makoto sugita112510.05
Mitsuru Kawazoe2928.09
Ludovic Perret354639.06
Hideki Imai461543.56