Generation of Nonlinear Feedback Shift Registers with special-purpose hardware.

Tomasz Rachwalik, Janusz Szmidt, Robert Wicik, Janusz Zablocki · 2012

Abstract. The nonlinear feedback shift registers (NLFSR) are used to construct pseudorandom generators for stream ciphers. Their theory is not so complete as that of the linear feedback shift registers (LFSR). In general, it is not known how to construct NLFSRs with maximum period. The direct method is to search for such registers with suitable properties. We used the implementation of NLFSRs in Field Programmable Gate Arrays (FPGA) to perform a corresponding search. We also investigated local statistical properties of the binary sequences ganerated by NLFSRs of order 25 and 27. Key words: Nonlinear feedback shift registers. Maximum period. Linear complexity. Hardware

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