找到一切非负整系数不可约多项式的一种新方法与算法

本文利用一种独特的映射方法将非负整系数多项式转化为正整数。运用该方法及数论理论，借助于计算机程序，可以找到任意多个非负整系数不可约多项式，并且可以对这些不可约多项式进行排序，这样，为扩频通信与信道密码利用不可约多项式提供了一种实用的算法，通过上机编程操作，结果说明本文提供的映射方法和寻找不可约多项式的方法十分实用，有效。

A NEW METHOD OF FINDING ALL THE IRREDUCIBLE POLYNOMIALS WITH NON- NEGATIVE INTEGER COEFFICIENTS

In this paper, the polynomials with non-negative integer coefficients in mapped one positive integer with the specified mapping method. Using this method and the number-theoretical methods and with the help of the programs for computers, all the irreducible polynomials with non-negative integer coefficient can be find,and the irreducible polynomials can be arranged in numerical order. Consequently a practical algorithm is provided for spread spectrum communication and channel code to use irreducible polynomials. By means of the programs for computers, the results indicate that the mapping method and the methods of finding any irreducible polynomials are extremely practical and effective.