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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
Collections
Department of Mathematics, Article
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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.