Paper 2024/1604

Predicting truncated multiple matrix congruential generators with unknown parameters

Changcun Wang
Zhaopeng Dai
Abstract

Multiple Matrix congruential generators is an important class of pseudorandom number generators. This paper studies the predictability of a class of truncated multiple matrix congruential generators with unknown parameters. Given a few truncated digits of high-order bits or low-order bits output by a multiple matrix congruential generator, we give a method based on lattice reduction to recover the parameters and the initial state of the generator.

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
Keywords
Multiple Matrix congruential generatorsTruncatedLattice reduction
Contact author(s)
ccwang710 @ hotmail com
dzpeng @ amss ac cn
History
2024-10-09: approved
2024-10-09: received
See all versions
Short URL
https://ia.cr/2024/1604
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/1604,
      author = {Changcun Wang and Zhaopeng Dai},
      title = {Predicting truncated multiple matrix congruential generators with unknown parameters},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1604},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1604}
}
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