The Cycle Structure of LFSR with Arbitrary Characteristic Polynomial over Finite Fields
classification
💻 cs.IT
math.IT
keywords
cyclearbitrarycharacteristicfinitepolynomialstatestructuredetermine
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We determine the cycle structure of linear feedback shift register with arbitrary monic characteristic polynomial over any finite field. For each cycle, a method to find a state and a new way to represent the state are proposed.
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