3 papers
math.NT2026
High dimensional Riemann--Roch spaces in linear spaces with small squares
Nihan Tanısalı, Mieke Wessel
Let be a function field over an algebraically closed field and a finite dimensional -subspace of . The square of is spanned by all products of pairs of elemen…
math.CO2026
Box Progressions, Abelian Power-Free Morphisms and A Sieve Technique for the Template Method
Sadık Eyidoğan, Haydar Göral, Nihan Tanısalı
Given balls and boxes both enumerated by the positive integers, we consider a sequential allocation of the balls into the boxes. We fix . Proceeding in increasing order…
cs.IT2025
On the structure of the Schur squares of Twisted Generalized Reed-Solomon codes and application to cryptanalysis
Alain Couvreur, Rakhi Pratihar, Nihan Tanısalı +1
Twisted generalized Reed-Solomon (TGRS) codes constitute an interesting family of evaluation codes, containing a large class of maximum distance separable codes non-equivalent to g…