2023/03/30 by Zekai Chen, Min Sha, Chen, Zekai +3
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Coding theory and cryptography #FOS: Mathematics #Fractal and DNA sequence analysis #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2303.17525
openalex publication_date 2023/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, as an analogue of the integer case, we study detailedly the period and the rank of the generalized Fibonacci sequence of polynomials over a finite field modulo an arbitrary polynomial. We establish some formulas to compute them, and we also obtain some properties about the quotient of the period and the rank. We find that the polynomial case is much more complicated than the integer case.