Paper 2008/048 Original: eprint.iacr.org/2008/048 ↗
Improved Cryptanalysis of APOP-MD4 and NMAC-MD4 using New Differential Paths
Abstract
In case of security analysis of hash functions, finding a good collision-inducing differential paths has been only focused on. However, it is not clear how differential paths of a hash function influence the securities of schemes based on the hash function. In this paper, we show that any differential path of a hash function can influence the securities of schemes based on the hash function. We explain this fact with the MD4 hash function. We first show that APOP-MD4 with a nonce of fixed length can be analyzed efficiently with a new differential path. Then we improve the result of the key-recovery attack on NMAC-MD4 described by Fouque {\em et al.} \cite{FoLeNg07} by combining new differential paths. Our results mean that good hash functions should have the following property : \textit{It is computationally infeasible to find differential a path of hash functions with a high probability}.
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2008-01-30: last updated
- 2008-01-30: published
- Short URL
- https://ia.cr/2008/048
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2008/048,
author = {Donghoon Chang and Jaechul Sung and Seokhie Hong and Sangjin Lee},
title = {Improved Cryptanalysis of APOP-MD4 and NMAC-MD4 using New Differential Paths},
howpublished = {Cryptology {ePrint} Archive, Paper 2008/048},
year = {2008},
url = {https://eprint.iacr.org/2008/048}
}