Linear recurrence sequences over function fields and their applications

函数域上的线性递推序列及其应用

• 批准号: DE190100888
• 负责人: Dr Min Sha
• 金额: $ 9.47万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2019
• 资助国家: 澳大利亚
• 起止时间: 2019-04-01 至 2020-07-10
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE190100888
• 关键词: Linear; recurrence; sequences; over; function

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.

本项目旨在深入系统地研究函数域上线性递归序列的理论。线性递归序列（LRS）在数学和计算机科学中几乎无处不在。该项目预计将扩大我们对LRS的知识，并将跨越广泛的新研究方向。通过研究和揭示LRS在函数域上的理论和实践方面，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澳大利亚成为这一领域的领导者。