A. Bassa

activity

20172020

collaborators

5 papers

math.AG2020

The Only Complex 4-Net Is the Hesse Configuration

Alp Bassa, Ali Ulas Ozgur Kisisel

It has been conjectured that the only nets realizable in $CP^{2}$ are 3-nets and the Hesse configuration (up to isomorphism). We prove this conjecture.

math.NT2019

Enumeration of a special class of irreducible polynomials in characteristic 2

Alp Bassa, Ricardo Menares

A-polynomials were introduced by Meyn and play an important role in the iterative construction of high degree self-reciprocal irreducible polynomials over the field F_2, since they…

math.NT2018

On the Deuring Polynomial for Drinfeld Modules in Legendre Form

Alp Bassa, Peter Beelen

We study a family $ψ^{λ}$ of $F_{q} [T]$ -Drinfeld modules, which is a natural analog of Legendre elliptic curves. We then find a surprising recurrence giving the corresponding D…

math.AG2018

Good recursive towers over prime fields exist

Alp Bassa, Christophe Ritzenthaler

We give a construction and equations for good recursive towers over any finite field $F_{q}$ with $q \neq = 2$ and $3$ .

cs.IT2017

Self-Dual Codes better than the Gilbert--Varshamov bound

Alp Bassa, Henning Stichtenoth

We show that every self-orthogonal code over $F_{q}$ of length $n$ can be extended to a self-dual code, if there exists self-dual codes of length $n$ . Using a family of Galoi…