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

• 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
• Institution: Nanyang Technological University

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.