On binary de Bruijn sequences from LFSRs with arbitrary characteristic polynomials

• المؤلفون الرئيسيون: Chang, Zuling, Ezerman, Martianus Frederic, Ling, San, Wang, Huaxiong
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2019
• الموضوعات: LFSR; Binary Periodic Sequence; DRNTU::Science::Mathematics
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/103689; http://hdl.handle.net/10220/48593
• المؤسسة: 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...