Periods on Two Kinds of nonlinear Feedback Shift Registers with Time Varying Feedback Functions
Abstract
Grain and Trivium are the hardware-oriented finalists of the eSTREAM. They are both based on nonlinear feedback shift registers. In this paper, we study their generalized classes of nonlinear feedback shift registers with time varying feedback functions, namely, Grain-like and Trivium-like structures. Some interesting results regarding their periods are obtained.
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The period of the NFSR is multiple of the period of the LFSR in the structure similar to Fruit-80.
“The period of the NFSR is multiple of the period of the LFSR in the structure similar to Fruit-80 [30].”
From Fruit-80: A Secure Ultra-Lightweight Stream Cipher for Constrained Environments (2018) · cites this paper as [30]
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Fruit-80: A Secure Ultra-Lightweight Stream Cipher for Constrained Environments
Amin Ghafari, V., & Hu, H. (2018) · Entropy · doi:10.3390/e20030180 · Cited by 45 · see citing works
“The period of the NFSR is multiple of the period of the LFSR in the structure similar to Fruit-80 [30].”
Self-citation
- Authors
- HU, H., & GONG, G.
- Affiliations
- University of Waterloo (CA)
- Venue
- International Journal of Foundations of Computer Science
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2011-09
- Volume
- 22
- Issue
- 06
- Pages
- 1317-1329
- ISSN
- 0129-0541 (ISSN-L)
- 1793-6373
- OpenAlex
- W1971882628
- Cited by
- 51
- References
- 0
- Citations by year
- 2026: 5 · 2025: 3 · 2024: 5 · 2022: 4 · 2021: 3 · 2020: 3 · 2019: 3 · 2018: 5 · 2017: 4 · 2016: 2 · 2015: 5 · 2014: 4 · 2013: 3 · 2012: 1
- FWCI
- 2.65
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Foundations of Computer Science (publishedVersion)
- Funders
- Natural Sciences and Engineering Research Council of Canada
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Coding theory and cryptography
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Cryptographic Implementations and Security
- Keywords
- nonlinear feedback shift registers, period analysis, Grain stream cipher, Trivium stream cipher, eSTREAM, stream ciphers
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