Abstract
A nonlinear feedback shift register (NFSR) can be implemented in the Galois configuration or in the Fibonacci configuration. In the former, the feedback can potentially be applied to every stage, whereas in the latter, the feedback is applied to the last stage only. In this paper, we concentrate on the equivalence between these two configurations. First, we define a large number of Galois NFSRs, which have very rich choices of feedback functions. Then we study their equivalence with the Fibonacci type and discuss their nonsingularity. Finally, we specify the inclusion relations between the previous results and ours.
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