12 citations · 15 across the 11 of their papers we have counts for
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Abelian surfaces over finite fields containing no curves of genus or less
Elena Berardini, Alejandro Giangreco Maidana, Stefano Marseglia
We study abelian surfaces defined over finite fields which do not contain any possibly singular curve of genus less than or equal to . Firstly, we complete and expand the charac…
Algebraic Geometry codes in the sum-rank metric
Elena Berardini, Xavier Caruso
We introduce the first geometric construction of codes in the sum-rank metric, which we called linearized Algebraic Geometry codes, using quotients of the ring of Ore polynomials w…
Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces
Yves Aubry, Elena Berardini, Fabien Herbaut +1
We prove lower bounds for the minimum distance of algebraic geometry codes over surfaces whose canonical divisor is either nef or anti-strictly nef and over surfaces without irredu…