p-cycles, S2-sets and Curves with Many Points.
| dc.contributor.author | Garzón R., Álvaro | |
| dc.date.accessioned | 2018-07-24T16:03:57Z | |
| dc.date.available | 2018-07-24T16:03:57Z | |
| dc.date.issued | 2018-07-24 | |
| dc.description.abstract | We construct S2-sets contained in the integer interval Iq-1:= (1,q-1) with q = pn, p a prime number and n E Z+, by using the p-adic expansion of integers. Such sets come from considering p-cycles of length n. We give some criteria in particular cases which allow us to glue them to obtain good S2-sets. After that we construct algebraic curves over the finite field Fq with many rational points via minimal (Fp, Fp) -polynomials whose exponent set is an S2-set. | spa |
| dc.identifier.uri | https://hdl.handle.net/10893/11992 | |
| dc.language.iso | eng | spa |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.subject | p-adic expancion | spa |
| dc.subject | S2 sets | spa |
| dc.subject | Finite field | spa |
| dc.subject | Kummer cover | spa |
| dc.subject | Rational points | spa |
| dc.title | p-cycles, S2-sets and Curves with Many Points. | spa |
| dc.type | Artículo de revista | spa |
| dspace.entity.type | Publication |