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.

Bibliographic Details
Main Authors: Chang, Zuling, Ezerman, Martianus Frederic, Ling, San, Wang, Huaxiong
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/102646
http://hdl.handle.net/10220/48576