On Feedback Functions of Maximum Length Nonlinear Feedback Shift Registers

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2010-06-01

Author

ÇALIK, Cagdas
Turan, Meltem Soenmez
Özbudak, Ferruh

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Feedback shift registers are basic building blocks for many cryptographic primitives. Due to the insecurities of Linear Feedback Shift Register (LFSR) based systems, the use of Nonlinear Feedback Shift Registers (NFSRs) became more popular. In this work, we study the feedback functions of NFSRs with period 2(n). First, we provide two new necessary conditions for feedback functions to be maximum length. Then, we consider NFSRs with k-monomial feedback functions and focus on two extreme cases where k = 4 and k =2(n-1). We study construction methods for these special cases.

Subject Keywords

Signal Processing, Electrical and Electronic Engineering, Applied Mathematics, Computer Graphics and Computer-Aided Design

URI

https://hdl.handle.net/11511/47799

Journal

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES

DOI

https://doi.org/10.1587/transfun.e93.a.1226

Collections

Department of Mathematics, Article

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Citation Formats

C. ÇALIK, M. S. Turan, and F. Özbudak, “On Feedback Functions of Maximum Length Nonlinear Feedback Shift Registers,” IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, pp. 1226–1231, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47799.