Multi-Scalar Multiplication (MSM) 是计算多个乘法运算之和的算法。由于群运算相对于有限域中元素的加法和乘法是复杂的,MSM算法的目标是尽可能减少群运算的次数。本文详细介绍了一些针对MSM算法的优化方法。 设G是一个循环群, 是群中的元素, 是系数,Multi-Scalar Multiplication (MSM) 是计算多个乘法运算之和 的算法。
设G是一个循环群, Pi ∈ G是群中的元素, ai∈ Z 是系数,Multi-Scalar Multiplication (MSM) 是计算多个乘法运算之和Σi=1naiPi 的算法。由于群运算相对于有限域中元素的加法和乘法是复杂的,MSM算法的目标是尽可能减少群运算的次数。通常 G是一个定义在有限域 F p 上的椭圆曲线 y2=x3+ax+b 上的一个...
PROBLEM TO BE SOLVED: To provide a multi-scalar multiplication computation device capable of reducing the number of times of using elliptic addition/elliptic doubling in multi-scalar multiplication calculation.KAWAHARA YUTO川原 祐人KOBAYASHI TETSUTARO...
We competed in the Multi-Scalar Multiplication (MSM) and Number Theoretic Transform (NTT) tracks.See https://zprize.hardcaml.com for a detailed write up on our design, results and build instructions!This repo has submissions to two of the ZPrize tracks, in the zprize folder....
...量是在Intel Core 2处理器观测得到的,它是多标量(multi-scalar)的并且可以同时执行多条指令。 www.cnblogs.com|基于3个网页 2. 多尺度 其次,它发展了在时空尺度上多尺度(multi-scalar)研究的观点,其范围从季节尺度到数千年尺度,从城镇或村庄尺度到全球 … ...
Scalar multiplicationElliptic curveDouble base number systemMultibase number systemDouble chainSeptuplingIJCSIAs a generalization of double base chains, multibase number system is very suitable for efficient computation of scalar multiplication of a point of elliptic curve because of shorter representation ...
Multi-Scalar Multiplication (MSM) 是计算多个乘法运算之和的算法。由于群运算相对于有限域中元素的加法和乘法是复杂的,MSM算法的目标是尽可能减少群运算的次数。本文详细介绍了一些针对MSM算法的优化方法。 设G是一个循环群, 是群中的元素, 是系数,Multi-Scalar Multiplication (MSM) 是计算多个乘法运算之和 ...
Multi-Scalar Multiplication (MSM) 是计算多个乘法运算之和的算法。由于群运算相对于有限域中元素的加法和乘法是复杂的,MSM算法的目标是尽可能减少群运算的次数。本文详细介绍了一些针对MSM算法的优化方法。 设G是一个循环群, 是群中的元素, 是系数,Multi-Scalar Multiplication (MSM) 是计算多个乘法运算之和 ...
Multi-Scalar MultiplicationHamming WeightJoint Triple-Base ChainAt present, the joint sparse form and the joint binary-ternary method are the most efficient representation systems for calculating multi-scalar multiplications [ k ] P +[ l ] Q , where k , l are scalars and P , Q are points ...
Multi-Scalar MultiplicationHamming WeightJoint Triple-Base ChainAt present, the joint sparse form and the joint binary-ternary method are the most efficient representation systems for calculating multiscalar multiplications [k] P+[l]Q, where k, l are scalars and P, Q are points on the same ...