28 citations · 86 across the 40 of their papers we have counts for
4 papers · 1 filter
Sunflowers of Reed--Solomon Codes
Roni Con, Anina Gruica, Maria Montanucci +1
We introduce and study Reed--Solomon sunflowers, namely families of Reed--Solomon codes whose pairwise intersections are all equal to the same fixed subspace. This notion lies at t…
A maximal function field of genus over
Peter Beelen, Maria Montanucci, Jonathan Niemann
In this article, we describe a new maximal function field over the finite field with elements and show that it cannot be obtained as a subfield of th…
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.…
On Weierstrass semigroups of maximal Fermat function fields
Peter Beelen, Maria Montanucci, Marie Frank vom Braucke
In this article we explicitly determine the Weierstrass semigroup at any place of some -maximal Fermat function fields , namely for and…