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math.NT2017
Towards a function field version of Freiman's Theorem
Christine Bachoc, Alain Couvreur, Gilles Zémor
We discuss a multiplicative counterpart of Freiman's theorem in the context of a function field over an algebraically closed field . Such a theorem would give a preci…
math.NT2012
Codes and the Cartier Operator
Alain Couvreur
In this article, we present a new construction of codes from algebraic curves. Given a curve over a non-prime finite field, the obtained codes are defined over a subfield. We call…