POLYNOMIALS WITH A RESTRICTED RANGE AND CURVES WITH MANY POINTS
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Andrade Ramos, C., & Garzón , Álvaro. (2023). POLYNOMIALS WITH A RESTRICTED RANGE AND CURVES WITH MANY POINTS. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 34(131), 229–240. https://doi.org/10.18257/raccefyn.34(131).2010.2414

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Abstract

In this paper, we introduce novel properties of restricted range polynomials compared to those developed by L. Rédei in ([1]). We showcase a new method for determining their exponent set and leverage this to construct curves over finite fields with a multitude of rational points.

https://doi.org/10.18257/raccefyn.34(131).2010.2414

Keywords

Finite fields (Fqi Fp)-polynomial | Algebraic Curves | Rational Points
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References

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T. Hungerford, Algebra, Springer-Verlag, Berlin, 1974

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