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On the generalized Fibonacci sequences of polynomials over finite fields.
- Source :
-
Finite Fields & Their Applications . Aug2024, Vol. 97, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper, as an analogue of the integer case, we study detailedly the period and the rank of the generalized Fibonacci sequences of polynomials over a finite field modulo an arbitrary polynomial. We establish some formulas to compute them, and we also obtain some properties about their quotient. We find that the polynomial case is much more complicated than the integer case. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FIBONACCI sequence
*FINITE fields
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 97
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177757837
- Full Text :
- https://doi.org/10.1016/j.ffa.2024.102446