Paper 2024/485
A Variation on Knellwolf and Meier's Attack on the Knapsack Generator
Abstract
Pseudo-random generators are deterministic algorithms that take in input a random secret seed and output a flow of random-looking numbers. The Knapsack generator, presented by Rueppel and Massey in 1985 is one of the many attempt at designing a pseudo-random generator that is cryptographically secure. It is based on the subset-sum problem, a variant of the Knapsack optimization problem, which is considered computationally hard. In 2011 Simon Knellwolf et Willi Meier found a way to go around this hard problem and exhibited a weakness of this generator. In addition to be able to distinguish the outputs from the uniform distribution, they designed an algorithm that retrieves a large portion of the secret. We present here an alternate version of the attack, with similar costs, that works on a larger range of parameters and retrieves a larger portion of the secret.
Metadata
- Available format(s)
-
PDF
- Category
- Attacks and cryptanalysis
- Publication info
- Preprint.
- Keywords
- pseudo-random generatorcryptanalysislatticesknapsack
- Contact author(s)
- florette martinez @ u-picardie fr
- History
- 2024-11-14: revised
- 2024-03-25: received
- See all versions
- Short URL
- https://ia.cr/2024/485
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2024/485,
author = {Florette Martinez},
title = {A Variation on Knellwolf and Meier's Attack on the Knapsack Generator},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/485},
year = {2024},
url = {https://eprint.iacr.org/2024/485}
}