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math.NT2009
Families of curves over any finite field with a class number greater than the Lachaud - Martin-Deschamps bounds
Stéphane Ballet, Robert Rolland
We study and explicitly construct some families of asymptotically exact sequences of algebraic function fields. It turns out that these families have an asymptotical class number w…
cs.IT2009
The second weight of generalized Reed-Muller codes in most cases
Robert Rolland
The second weight of the Generalized Reed-Muller code of order over the finite field with elements is now known for and . In this paper, we determine t…