@article{Garzón_2017, title={p-cycles, S2-sets and Curves with Many Points}, volume={21}, url={https://revistaciencias.univalle.edu.co/index.php/revista_de_ciencias/article/view/6340}, DOI={10.25100/rc.v21i1.6340}, abstractNote={<p>We construct S 2 -sets contained in the integer interval I q − 1 := [1, q − 1] with q = p^n,p a prime number and n ∈ Z +, by using the p-adic expansion of integers. Such sets comefrom considering p-cycles of length n. We give some criteria in particular cases whichallow us to glue them to obtain good S 2 -sets. After that we construct algebraic curvesover the ﬁnite ﬁeld F q with many rational points via minimal (F p , F p )-polynomials whose exponent is an S 2 -set.</p>}, number={1}, journal={Revista de Ciencias}, author={Garzón, Álvaro}, year={2017}, month={ene.}, pages={55–78} }