{"title":"Elliptic Divisibility Sequences over Finite Fields","authors":"Bet\u00fcl Gezer, Ahmet Tekcan, Osman Bizim","country":null,"institution":"","volume":43,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":751,"pagesEnd":759,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/13933","abstract":"In this work, we study elliptic divisibility sequences\r\nover finite fields. Morgan Ward in [14], [15] gave arithmetic theory\r\nof elliptic divisibility sequences and formulas for elliptic divisibility\r\nsequences with rank two over finite field Fp. We study elliptic\r\ndivisibility sequences with rank three, four and five over a finite field\r\nFp, where p > 3 is a prime and give general terms of these sequences\r\nand then we determine elliptic and singular curves associated with\r\nthese sequences.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 43, 2010"}