初等数学与密码学

Elementary mathematics and cryptography

在中学里,新学科永远是中学学生感兴趣的一点,特别是现在网络时代,密码学更是中学时代学生想去探究的学科。本文将从中学基础的因子、模、同余、最大最因数介绍起,到深层次的逆元、群、多项式逐一讨论,且立足于中学数学与信息技术两门学科,通过一个个例子把中学数学中所蕴含的密码学基础知识传输给学生,以提高了学生兴趣,并为其它学科的学习打下基础。

In middle school, a new subject is always secondary school students interested in a bit, especially now that the Internet age, cryptography but also the subject of middle school students want to go to explore. In this article, we will learn from the basis of factor, mold, congruence, the biggest factor is introduced, the deep inverse and discuss each group, polynomials, and based on two secondary school mathematics and information technology subject, through one example contained in the middle school mathematics of cryptography based knowledge transfer to students, to improve the students' interest, and other disciplines of study to lay the foundation.