Title
Security Analysis of Even-Mansour Structure Hash Functions
Abstract
In this paper, we mainly focus on the security of Even-Mansour structure hash functions, including preimage attack resistance and multi-block collision attack resistance. Firstly, we focus on the Even-Mansour structure hash function with two iterations. Basing on the permutation used in the Even-Mansour structure hash function we construct two new functions f(1) andf(2), and find the partial invariables of input-output in one function f(1). Then using the partial invariables of input-output and the meet-in-the-middle techniques, we present a preimage attack on the Even-Mansour structure hash function with two iterations, with the time complexity of 2a((2a-1)) +2(a) + 2(n-2a) functional operations of f(1) or f(2) and the memory is 2(a) a-bit values, where a2(a) <= n and n is the size of hash value. Secondly, we extend the Even-Mansour structure hash function to the one with arbitrary iterations Utilizing the property that the beginning and the ending of every iteration in the Even-Mansour structure both need XOR the message or the transform result of the message, we construct many chaining values with relations in each iteration, which makes that the number of the final chaining values is equal to the product of the number of output chaining values in each iteration, and thereby propose our multi-block collision attack on the Even-Mansour structure hash functions with the time complexity of t2(s/2t) queries of F permutation and memory complexity of O(2(s/2)), where t is the block number of collision message and s is the size of truncated hash value.
Year
DOI
Venue
2021
10.1007/978-3-030-88052-1_10
INFORMATION AND COMMUNICATIONS SECURITY (ICICS 2021), PT II
Keywords
DocType
Volume
Hash function, Even-Mansour structure hash function, Preimage attack, Multi-block collision attack, Partial invariables of input-output, Meet-in-the-middle technique
Conference
12919
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Shiwei Chen101.01
Ting Cui214.41
Chenhui Jin33919.24