Constructing New NLFSR Functions with Optimal Periods

Ibraheem Al-Hejri and Sultan Almuhammadi
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Ibraheem Al-Hejri: King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Sultan Almuhammadi: King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

International Journal of Interdisciplinary Telecommunications and Networking (IJITN), 2020, vol. 12, issue 2, 71-80

Abstract: Pseudorandom bit generators are essential components in many security applications. The security of the system relies on the security of its components. Feedback shift registers are commonly used to generate pseudorandom bits. Nonlinear feedback shift registers (NLFSRs) are known to be more secure than the linear ones. However, there is no mathematical foundation on how to construct NLFSR feedback functions with optimal periods. This article considers a new type of NLFSR capable of constructing feedback functions of degree 3 with optimal periods. Using their construction method, the authors propose new functions of this type.

Date: 2020
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