椭圆曲线标量乘法运算:概览研究

Ayaat Waleed, Najlae Falah Hameed Al Saffar
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引用次数: 0

摘要

标量乘法是椭圆曲线密码系统中的基本运算。它涉及到计算特定椭圆曲线点的整数倍。它涉及三个层次:字段、点和标量算术。如果最终级别得到改进,标量乘法的总体效率将显著提高。通过减少标量表示中的汉明权重或操作次数,可以提高标量算术的水平。本文综述了椭圆曲线标量乘法在第三层次上的一些改进算法和技术。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Elliptic Curve Scalar Multiplication Operation: a Survey Study
Scalar multiplication is the fundamental operation in the elliptic curve cryptosystem. It involves calculating the integer multiple of a specific elliptic curve point. It involves three levels: field, point, and scalar arithmetic. Scalar multiplication will be significantly more efficient overall if the final level is improved. By reducing the hamming weight or the number of operations in the scalar representation, one can raise the level of scalar arithmetic. This paper reviews some of the algorithms and techniques that improve the elliptic curve scalar multiplication in terms of the third level.
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