摘要： Maple是功能强大的符号处理和数值分析工具，作为强大的交互式计算软件，Maple提供了强大的编程接口和工具包来帮助完成复杂的编程工作。利用Maple编程求出椭圆曲线上有理点，用Maple实现椭圆曲线上两点的加法、点的数乘运算及求某个基点阶数的算法，利用Maple实现椭圆曲线密码体制的加密及解密。相比C语言，Maple语言更接近于平时说话的语法。同时，Maple语言可以方便地转化成C语言。效率分析表明，对于数学公式比较多的程序，用Maple要比C语言简洁很多，这为编程带来了方便。

关键词: Maple, 椭圆曲线, 椭圆曲线密码体制

Abstract: Maple is a powerfully functional tool for symbolic processing and numerical analysis, being a mighty interactive computing software, it affords powerful access program and toolbox to help accomplish programs. A new method of finding the points on an elliptic curve by Maple is supplied; Maple is applied to the addition operation, the scalar product operation and the method of seeking the order of a basic point on the elliptic curve are proposed; the applications of Maple on ECC (elliptic curve cryptosystem) including encryption and decryption are supplied. Compared with C programming language, Maple language is much more close to accustomed expression. At the same time, Maple language can be transformed to C language conventionally, which is easy to program. By the analysis of the efficiency, Maple language is more concise than C language, especially for the program in which more mathematic formulas have.

Key words: Maple, Elliptic curve, Elliptic curve cryptosystem(ECC)