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

• Main Authors: Chang, Zuling, Ezerman, Martianus Frederic, Ling, San, Wang, Huaxiong
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2019
• 主題: DRNTU::Science::Mathematics; Cyclotomic Number; Cycle Structure
• 在線閱讀: https://hdl.handle.net/10356/102646; http://hdl.handle.net/10220/48576
• 機構: 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.