# Information Security and Cryptography Research Group

## Improved Linear Differential Attacks on CubeHash

### Shahram Khazaei, Simon Knellwolf, Willi Meier, and Deian Stefan

AFRICACRYPT, Lecture Notes in Computer Science, Springer, vol. 6055, pp. 407–418, 2010.

This paper presents improved collision attacks on round-reduced variants of the hash function CubeHash, one of the SHA-3 second round candidates. We apply two methods for finding linear differential trails that lead to lower estimated attack complexities when used within the framework introduced by Brier, Khazaei, Meier and Peyrin at ASIACRYPT 2009. The first method yields trails that are relatively dense at the beginning and sparse towards the end. In combination with the condition function concept, such trails lead to much faster collision attacks. We demonstrate this by providing a real collision for CubeHash-5/96. The second method randomizes the search for highly probable linear differential trails and leads to significantly better attacks for up to eight rounds.

## BibTeX Citation

@inproceedings{KKMS10,
author       = {Shahram Khazaei and Simon Knellwolf and Willi Meier and Deian Stefan},
title        = {Improved Linear Differential Attacks on CubeHash},
editor       = {Daniel J. Bernstein and Tanja Lange},
booktitle    = {AFRICACRYPT},
pages        = {407--418},
series       = {Lecture Notes in Computer Science},
volume       = {6055},
year         = {2010},
publisher    = {Springer},
}