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Nonlinear feedback shift registers (NFSRs) are widely used in stream cipher design as building blocks. In this paper, we study the problem of decomposing an NFSR into the cascade connection of an NFSR into a linear feedback shift register (LFSR), which is a kind of concatenation of an NFSR and LFSR. A necessary and sufficient condition for such decomposition is provided and other algebraic properties...
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