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本文介绍了一种基于多项式基的有限域乘法的算法原理,此算法适用于任何本原多项式,因此是通用的。并在此基础上提出了一种新的有限域乘法器电路架构,其结构规正,易于扩展,适合工程实现,尤其适用于差错控制码领域的应用。设计结果表明,本实现方法在速度和面积上都优于传统的基于多项式基的LSB递归算法。
This paper presents an algorithm based on polynomial-based finite field multiplication algorithm, which is applicable to any primitive polynomial and is therefore universal. Based on this, a new circuit structure of finite field multiplier is proposed. Its structure is correct and easy to extend, which is suitable for engineering implementation. It is especially suitable for the application in the field of error control codes. The design results show that the proposed method is superior to the traditional polynomial-based LSB recursion algorithm both in speed and area.