Ozbudak, FerruhTemur, Burcu GulmezYayla, OguzMathematics2024-07-052024-07-0520150978331917296597833191729582364-950X10.1007/978-3-319-17296-5_33https://doi.org/10.1007/978-3-319-17296-5_33https://hdl.handle.net/20.500.14411/734YAYLA, Oğuz/0000-0001-8945-2780; /0000-0002-1694-9283We determined the number of rational points of fibre products of two Kummer covers over a rational point of the projective line in a recent work of F. Ozbudak and B. G. Temur (Des Codes Cryptogr 70(3): 385-404, 2014), where we also constructed explicit examples, including a record and two new entries for the current Table of Curves with Many Points (manYPoints: Table of curves with many points. http://www.manypoints.org (2014). Accessed 30 Sep 2014). Using the methods given in Ozbudak and Gulmez Temur (Des Codes Cryptogr 70(3): 385-404, 2014), we made an exhaustive computer search over F-5 and F-7 by the contributions of O. Yayla and at the end of this search we obtained 12 records and 6 new entries for the current table; in particular, we observed that the fibre product with genus 7 and 36 rational points coincides with the Ihara bound, thus we concluded that the maximum number N-7(7) of F-7-rational points among all curves of genus 7 is 36 (Ozbudak et al., Turkish J Math 37(6): 908-913, 2013). Recently, we made another exhaustive computer search over F-11. In this paper we are representing the results as three records and three new entries for the current table.eninfo:eu-repo/semantics/closedAccessCurves with many pointsAlgebraic function fieldsConference Object3307315WOS:000380545500033