Magma程序在有限域中的教学实践  

The Teaching Practice of Magma Programs in Finite Fields

作　　者：杨淑娣[1] YANG Shu-di(School of Mathematical Sciences,Qufu Normal University,Jin ing Shandong 273165,China)

机构地区：[1]曲阜师范大学数学科学学院,山东济宁273165

出　　处：《德州学院学报》2022年第6期1-6,共6页Journal of Dezhou University

基　　金：国家自然科学基金面上项目(12071247)。

摘　　要：《有限域理论》是代数编码理论和密码学的一门基础学科,许多计算问题可用计算机程序进行计算和验证。针对《有限域理论》中一些具体的计算问题,给出对应的Magma程序求解的编程示例,以适合Magma语言和有限域课程的初学者和研究者。The theory of finite fields is a fundamental subject of algebraic coding theory and cryptography.Many calculation problems can be computed and verified by computer programs.We give some examples of Magma programs for solving several concrete calculation problems in the theory of finite fields.This will be of good use to beginners and researchers to the Magma language and the course of finite fields.

关 键 词：有限域 本原元 正规基 分圆多项式 高斯和 

分 类 号：O157.4[理学—数学]