collaborators

5 papers

math.NT2026

Maximal and minimal curves of the form

Guilherme Dias, Saeed Tafazolian

Let be a prime with , let , and consider \[ \cC:\qquad y^3=x^{(q^2+1)/2}+x \] over $\F_{q^6}$. We prove the exact formula \[ \#\cC(\F_{q^6})=q^6+…

math.AG2025

Explicit Families of Hyperelliptic Curves with CM Jacobians

Saeed Tafazolian, Jaap Top

We construct explicit families of hyperelliptic curves over $\QQ$ whose Jacobians admit complex multiplication (CM). Each curve in these families is defined by \[ v^2 = (u+2)\,φ_d(…

math.AG2025

Locally recoverable codes with multiple recovering sets from maximal curves

Saeed Tafazolian, Jaa Top

In this paper, we present a construction of locally recoverable codes (LRCs) with multiple recovery sets using algebraic curves with many rational points. By leveraging separable m…

math.NT2025

CM theory, maximal hyperelliptic curves, and Chebyshev polynomials

Saeed Tafazolia, Jaap Top

This paper studies hyperelliptic curves $\cH_d$ corresponding to over finite fields, with a Chebyshev polynomial. Starting from the case where is an…

math.AG2025

Automorphisms of Plane Curves defined from Chebychev polynomials

Saeed Tafazolian, Jaap Top

For any we determine the automorphism groups of the algebraic curves \[ \mathcal{C}_d : y^d = φ_d(x), \] where denotes the Chebyshev polynomial of degree , de…