2 citations · 2 across the 3 of their papers we have counts for
4 papers
Hamming distances from a function to all codewords of a Generalized Reed-Muller code of order one
Miriam Abdon, Robert Rolland
For any finite field with elements, we study the set of functions from into . We introduce a transformat…
Weierstrass points on Kummer extensions
Miriam Abdon, Herivelto Borges, Luciane Quoos
For Kummer extensions , we discuss conditions for an integer be a Weierstrass gap at a place . In the case of totally ramified places, the conditions will be necessary…
On a F_{q^2}-maximal curve of genus q(q-3)/6
Miriam Abdon, Fernando Torres
We show that a F_{q^2}-maximal curve of genus q(q-3)/6 in characteristic three is either a non-reflexive space curve of degree q+1, or it is uniquely determined up to F_{q^2}-isomo…
On maximal curves in characteristic two
Miriam Abdon, Fernando Torres
The genus g of an F_{q^2}-maximal curve satisfies g=g_1:=q(q-1)/2 or g\le g_2:= [(q-1)^2/4]. Previously, such curves with g=g_1 or g=g_2, q odd, have been characterized up to isomo…