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math.NT2012
New curves with many points over small finite fields
Karl Rökaeus
We use class field theory to search for curves with many rational points over small finite fields. By going through abelian covers of curves of small genus we find a number of new…
math.NT2011
Computer search for curves with many points among abelian covers of genus 2 curves
Karl Rökaeus
Using class field theory one associates to each curve C over a finite field, and each subgroup G of its divisor class group, unramified abelian covers of C whose genus is determine…