Betül Gezer and Ahmet Tekcan and Osman Bizim
Elliptic Divisibility Sequences over Finite Fields
751 - 758
2010
4
7
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/13933
https://publications.waset.org/vol/43
World Academy of Science, Engineering and Technology
In this work, we study elliptic divisibility sequences
over finite fields. Morgan Ward in 14, 15 gave arithmetic theory
of elliptic divisibility sequences and formulas for elliptic divisibility
sequences with rank two over finite field Fp. We study elliptic
divisibility sequences with rank three, four and five over a finite field
Fp, where p > 3 is a prime and give general terms of these sequences
and then we determine elliptic and singular curves associated with
these sequences.
Open Science Index 43, 2010