The Cycle Structure of LFSR with Arbitrary Characteristic Polynomial over Finite Fields

Huaxiong Wang; Martianus Frederic Ezerman; San Ling; Zuling Chang

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The Cycle Structure of LFSR with Arbitrary Characteristic Polynomial over Finite Fields

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arxiv 1612.07928 v1 pith:V7OP3NOO submitted 2016-12-23 cs.IT math.IT

The Cycle Structure of LFSR with Arbitrary Characteristic Polynomial over Finite Fields

Zuling Chang , Martianus Frederic Ezerman , San Ling , Huaxiong Wang This is my paper

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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.

The Cycle Structure of LFSR with Arbitrary Characteristic Polynomial over Finite Fields

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