Value sets of Lattes maps over finite fields

Date

2014-10-01

Author

Küçüksakallı, Ömer

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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.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/35051

Journal

JOURNAL OF NUMBER THEORY

DOI

https://doi.org/10.1016/j.jnt.2014.04.014

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Department of Mathematics, Article

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Citation Formats

Ö. Küçüksakallı, “Value sets of Lattes maps over finite fields,” JOURNAL OF NUMBER THEORY, pp. 262–278, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35051.