Jean-Marc Couveignes, Tony Ezome
Published 2021-10-26, updated 2022-12-30Version 2
We study the complexity of multiplication of two elements in a finite field extension given by their coordinates in a normal basis. We show how to control this complexity using the arithmetic and geometry of algebraic curves.
Algebraic curves uniformized by congruence subgroups of triangle groups
Normal bases and irreducible polynomials
A note on multivariable $(\varphi,Γ)$-modules
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