Value sets of Lattes maps over finite fields


Kucuksakalli O.

JOURNAL OF NUMBER THEORY, cilt.143, ss.262-278, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 143
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.jnt.2014.04.014
  • Dergi Adı: JOURNAL OF NUMBER THEORY
  • Sayfa Sayıları: ss.262-278

Özet

We give an alternative computation of the value sets of Dickson polynomials over finite fields by using a singular cubic curve. Our method is not only simpler but also it can be generalized to the non-singular elliptic case. We determine the value sets of Lattes maps over finite fields which are rational functions induced by isogenies of elliptic curves with complex multiplication. (C) 2014 Elsevier Inc. All rights reserved.