On the generalized Fibonacci sequence of polynomials over finite fields
Number Theory
2023-03-31 v1
Abstract
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.
Cite
@article{arxiv.2303.17525,
title = {On the generalized Fibonacci sequence of polynomials over finite fields},
author = {Zekai Chen and Min Sha and Chen Wei},
journal= {arXiv preprint arXiv:2303.17525},
year = {2023}
}
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33 pages