Bad subsequences of well-known linear congruential pseudorandom number generators
Abstract
We present a spectral test analysis of full-period subsequences with small step sizes generated by well-known linear congruential pseudorandom number generators. Subsequences may occur in certain simulation problems or as a method to get parallel streams of pseudorandom numbers. Applying the spectral test, it is possible to find bad subsequences with small step sizes for almost all linear pseudorandom number generators currently in use.
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Many image encryption schemes are not designed and presented following the basic rules and general guidelines given in [35,136].
“-Many image encryption schemes are not designed and presented following the basic rules and general guidelines given in [35,136], which makes essential improvement on the security level of the analyzed schemes very hard.”
From When an attacker meets a cipher-image in 2018: A year in review (2019) · cites this paper as [136]
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Algorithm 806: SPRNG: a scalable library for pseudorandom number generation
Mascagni, M., & Srinivasan, A. (2000) · ACM Transactions on Mathematical Software · doi:10.1145/358407.358427 · Cited by 275 · see citing works
When an attacker meets a cipher-image in 2018: A year in review
Li, C., Zhang, Y., & Xie, E. Y. (2019) · Journal of Information Security and Applications · doi:10.1016/j.jisa.2019.102361 · Cited by 217 · see citing works
- Authors
- Entacher, K.
- Affiliations
- University of Salzburg (AT)
- Corresponding author
- Entacher, Karl
- Venue
- ACM Transactions on Modeling and Computer Simulation
- Published
- 1998-01
- Volume
- 8
- Issue
- 1
- Pages
- 61-70
- ISSN
- 1049-3301 (ISSN-L)
- 1558-1195
- OpenAlex
- W1976376596
- Cited by
- 51
- References
- 0
- Citations by year
- 2025: 1 · 2024: 3 · 2023: 1 · 2020: 4 · 2019: 1 · 2018: 1 · 2017: 1 · 2016: 2 · 2015: 3 · 2014: 2 · 2012: 1
- FWCI
- 5.11
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- ACM Transactions on Modeling and Computer Simulation (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Numerical Analysis › Mathematical Approximation and Integration
- Social Sciences › Decision Sciences › Management Science and Operations Research › Simulation Techniques and Applications
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical and Computational Methods
- Keywords
- linear congruential generator, pseudorandom number generators, spectral test, parallel streams, simulation
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