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- W1674256678 abstract "In this work we study the properties of maximal and minimal curves of genus 3 over finite fields with discriminant -19. We prove that any such curve can be given by an explicit equation of certain form. Using these equations we obtain a table of maximal and minimal curves over finite fields with discriminant -19 of cardinality up to 997. We also show that existence of a maximal curve implies that there is no minimal curve and vice versa." @default.
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- W1674256678 date "2009-02-11" @default.
- W1674256678 modified "2023-09-27" @default.
- W1674256678 title "Optimal Curves of Genus 3 over Finite Fields with Discriminant -19" @default.
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