Peter Beelen

collaborators

3 papers

cs.IT2025

Reed-Solomon Codes Against Insertions and Deletions: Full-Length and Rate- $1/2$ Codes

Peter Beelen, Roni Con, Anina Gruica +2

The performance of Reed--Solomon codes (RS codes, for short) in the presence of insertion and deletion errors has attracted growing attention in recent literature. In this work, we…

math.AG2025

Non-isomorphic subfields of the BM and GGS maximal function fields

Peter Beelen, Tobias Drue, Maria Montanucci +1

In 2016 Tafazolian et al. introduced new families of $F_{q^{2 n}}$ -maximal function fields $Y_{n, s}$ and $X_{n, s, a, b}$ arising as subfields of the first…

math.AG2025

Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, $q \equiv 0 (mod 3)$

Peter Beelen, Maria Montanucci, Lara Vicino

In this article we complete the work started in arXiv:2303.00376v1 [math.AG] and arXiv:2404.18808v1 [math.AG], explicitly determining the Weierstrass semigroup at any place and the…

Reed-Solomon Codes Against Insertions and Deletions: Full-Length and Rate-1/2 Codes

Non-isomorphic subfields of the BM and GGS maximal function fields

Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, q≡0(mod3)

Reed-Solomon Codes Against Insertions and Deletions: Full-Length and Rate- $1/2$ Codes

Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, $q \equiv 0 (mod 3)$