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math.AG2019
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…
cs.IT2019★ 9 cited
Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus
Yves Aubry, Elena Berardini, Fabien Herbaut +1
We provide a theoretical study of Algebraic Geometry codes constructed from abelian surfaces defined over finite fields. We give a general bound on their minimum distance and we in…