Paper 2017/412
Improved Attack on Full-round Grain-128
Ximing Fu, Xiaoyun Wang, Jiazhe Chen, Marc Stevens, and Xiaoyang Dong
Abstract
In this paper, we propose a series of techniques that can be used to determine the missing IV terms of a complex multivariable Boolean polynomial. Using these techniques, we revisit the dynamic cube attack on Grain-128. Based on choosing one more nullified state bit and one more dynamic bit, we are able to obtain the IV terms of degree $43$, combined with various of reduction techniques, fast discarding monomial techniques and IV representation technique for polynomials, so that the missing IV terms can be determined. As a result, we improve the time complexity of the best previous attack on Grain-128 by a factor of $2^{16}$. Moreover, our attack applies to all keys.
Metadata
- Available format(s)
-
PDF
- Publication info
- Preprint. MINOR revision.
- Keywords
- Stream ciphersGrain-128Polynomial reductionIV representationDynamic cube attack
- Contact author(s)
- fxm15 @ mails tsinghua edu cn
- History
- 2018-05-16: last of 2 revisions
- 2017-05-13: received
- See all versions
- Short URL
- https://ia.cr/2017/412
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2017/412,
author = {Ximing Fu and Xiaoyun Wang and Jiazhe Chen and Marc Stevens and Xiaoyang Dong},
title = {Improved Attack on Full-round Grain-128},
howpublished = {Cryptology {ePrint} Archive, Paper 2017/412},
year = {2017},
url = {https://eprint.iacr.org/2017/412}
}
