Linear recurrence sequences over function fields and their applications

本项目旨在深入系统地发展定义在函数域上的线性递归序列(LRS)理论。线性递归序列(LRS)在数学和计算机科学中几乎随处可见。该项目预计将扩大我们对LRS的了解，并将涵盖广泛的新研究方向。通过研究和揭示函数域上LRS的理论和实践方面，该项目将通过提供新的密码学方法来丰富网络安全工具包。该项目的成果将有助于将澳大利亚定位为该领域的领导者。

This project aims to deeply and systematically develop the theory of linear recurrence sequences (LRS) defined over function fields. Linear recurrence sequences (LRS) appear almost everywhere in mathematics and computer science. The project is expected to expand our knowledge on LRS and will span a wide range of new research directions. Through investigating and revealing the theoretical and practical aspects of LRS over function fields, the project will enrich the toolkits for cybersecurity by providing new approaches to cryptography. The outcomes of the project will help position Australia as a leader in this field.