2 papers
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)\,Ï_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…