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Publication Citation: On Feedback Functions of Maximum Length Nonlinear Feedback Shift Registers

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Author(s): Cagdas Calik; Meltem Sonmez Turan; Ferruh Ozbudak;
Title: On Feedback Functions of Maximum Length Nonlinear Feedback Shift Registers
Published: August 02, 2010
Abstract: 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 2n. 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 = 2n−1. We study construction methods for these special cases.
Citation: IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
Volume: E93.A
Issue: 6
Pages: pp. 1226 - 1231
Keywords: de Bruijn sequences; Maximal length sequences; Nonlinear feedback shift registers
Research Areas: Math
PDF version: PDF Document Click here to retrieve PDF version of paper (342KB)