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math.NT2010
The maximum number of rational points for a genus 4 curve over F_7 is 24
Alessandra Rigato
In this paper we show that the maximum number of rational points possible for a smooth, projective, absolutely irreducible genus 4 curve over a finite field F_7 is 24. It is known…
math.NT2010
Uniqueness of low genus optimal curves over F_2
Alessandra Rigato
A projective, smooth, absolutely irreducible algebraic curve X of genus g defined over a finite field F_q is called optimal if for every other such genus g curve Y over F_q one has…