On binary de Bruijn sequences from LFSRs with arbitrary characteristic polynomials

• 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: LFSR; Binary Periodic Sequence; DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/103689; http://hdl.handle.net/10220/48593
• Institution: Nanyang Technological University

We propose a construction of de Bruijn sequences by the cycle joining method from linear feedback shift registers (LFSRs) with arbitrary characteristic polynomial f(x). We study in detail the cycle structure of the set Ω(f(x)) that contains all sequences produced by a specific LFSR on distinct in...