Families of algebraic varieties and towers of algebraic curves over finite fields

TL;DR

This paper introduces a novel method for constructing towers of algebraic curves over finite fields and presents an example of an optimal tower, advancing the understanding of algebraic geometry in finite field contexts.

Contribution

The paper proposes a new construction technique for towers of algebraic curves and provides a simple example demonstrating optimality.

Findings

Introduced a new construction method for algebraic curve towers

Provided an example of an optimal tower over finite fields

Enhanced understanding of algebraic structures in finite field applications

Abstract

We introduce a new construction of towers of algebraic curves over finite fields and provide a simple example of an optimal tower.