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The Decomposition of the States of a Linear Feedback Shift Register Into Cycles of Equal Length

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1 Author(s)
Perlman, M. ; IEEE

This paper presents a derivation of a linear feedback function for an r-stage feedback shift register that results in branchless less cycles of equal length. The linear recurrence relationship and generating function, which characterize the r-stage feedback shift register's behavior, are used to prove that each of the 2r states lie in cycles of equal length.

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Computers, IEEE Transactions on  (Volume:C-19 ,  Issue: 11 )