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Title:
More Insights on Blockcipher-Based Hash Functions
Authors: Yiyuan Luo, Xuejia Lai
Abstract:In this paper we give more insights on the security of blockcipher-based hash functions. We give a very simple criterion to build a secure large class of Single-Block-Length (SBL) or double call Double-Block-Length (DBL) compression functions based on (kn, n) blockciphers, where kn is the key length and n is the block length and k is an integer. This criterion is simpler than previous works in the literature. Based on the criterion, we can get many results from this criterion, and we can get a conclusion on such class of blockcipher-based hash functions. We solved the open problem left by Hirose. Our results show that to build a secure double call DBL compression function, it is required k >= m+1 where m is the number of message blocks. Thus, we can only build rate 1/2 secure double DBL blockcipher-based compression functions if k==2. At last, we pointed out flaws in Stam’s theorem about supercharged functions and gave a revision of this theorem and added another condition for the security of supercharged compression functions.
ePrint: https://eprint.iacr.org/2010/642
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