28 citations · 139 across the 36 of their papers we have counts for
49 papers
Explicit and asymptotically good constructions of Algebraic Geometry codes in the sum-rank metric
Peter Beelen, Elena Berardini, Anina Gruica +1
Algebraic Geometry (AG) codes (i.e. linear codes from algebraic function fields) in the Hamming metric were proposed by Goppa in 1980 and have been intensively studied ever since.…
Intersection of irreducible curves and the Hermitian curve
Peter Beelen, Mrinmoy Datta, Maria Montanucci +1
Let denote the Hermitian curve in over and be an irreducible plane projective curve in also defined…
Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus,
Peter Beelen, Maria Montanucci, Lara Vicino
In this article we continue the work started in arXiv:2303.00376v1, explicitly determining the Weierstrass semigroup at any place and the full automorphism group of a known $\mathb…
Some families of non-isomorphic maximal function fields
Peter Beelen, Maria Montanucci, Jonathan Tilling Niemann +1
The problem of understanding whether two given function fields are isomorphic is well-known to be difficult, particularly when the aim is to prove that an isomorphism does not exis…
List-decoding of AG codes without genus penalty
Peter Beelen, Maria Montanucci
In this paper we consider algebraic geometry (AG) codes: a class of codes constructed from algebraic codes (equivalently, using function fields) by Goppa. These codes can be list-d…
Faster List Decoding of AG Codes
Peter Beelen, Vincent Neiger
In this article, we present a fast algorithm performing an instance of the Guruswami-Sudan list decoder for algebraic geometry codes. We show that any such code can be decoded in $…