3 papers
cs.IT2026
Serving Every Symbol: All-Symbol PIR and Batch Codes
Avital Boruchovsky, Anina Gruica, Jonathan Niemann +1
A -all-symbol PIR code and a -all-symbol batch code of dimension consist of servers storing linear combinations of information symbols with the following recovery…
math.AG2026
Double Artin-Schreier extensions of rational function fields with many lifted automorphisms
Herivelto Borges, Jonathan Niemann, Giovanni Zini
In this paper we investigate algebraic function fields in positive characteristic mainly obtained as double Artin-Schreier extensions of rational function fields with a plane model…
math.NT2024
Non-isomorphic maximal function fields of genus
Jonathan Niemann
The classification of maximal function fields over a finite field is a difficult open problem, and even determining isomorphism classes among known function fields is challenging i…