The cycle structure of LFSR with arbitrary characteristic polynomial over finite fields

The cycle structure of LFSR with arbitrary characteristic polynomial over finite fields

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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Bibliographic Details
Main Authors: Chang, Zuling, Ezerman, Martianus Frederic, Ling, San, Wang, Huaxiong
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2019
Subjects:
DRNTU::Science::Mathematics
Cyclotomic Number
Cycle Structure
Online Access:https://hdl.handle.net/10356/102646
http://hdl.handle.net/10220/48576
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Institution: Nanyang Technological University
Language: English
Description
Summary: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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