标量乘法的英文

• scalar multiplication

• "标量"英文翻译    scalar; invariant; scalar qu ...
• "乘法"英文翻译    multiplication; 3乘11是一道容易的乘法 ...
• "标量乘数" 英文翻译 :    scalar multiplier
• "变量乘法器" 英文翻译 :    variable multiplier
• "纯量乘法" 英文翻译 :    scalar multiplication; scalar multipliction
• "复变量乘法" 英文翻译 :    multiplication of complex quantities
• "矢量乘法" 英文翻译 :    vector multiplication
• "向量乘法" 英文翻译 :    vector multiplication
• "张量乘法" 英文翻译 :    tensorial multiplication
• "提前量乘法器" 英文翻译 :    prediction multiplier
• "带状矩阵向量乘法" 英文翻译 :    band matrix vector multiplication
• "标量" 英文翻译 :    [物理学] (无向量) scalar; invariant; scalar quantity◇标量变量 scalar variable
• "乘法" 英文翻译 :    [数学] multiplication: 3乘11是一道容易的乘法题。 3×11 is an easy multiplication.◇乘法表 multiplication table
• "惯量乘积" 英文翻译 :    products of inertia
• "能量乘积" 英文翻译 :    energy product
• "矢量乘积" 英文翻译 :    gross product
• "右张量乘积" 英文翻译 :    right tensor product
• "张量乘积" 英文翻译 :    tensor product
• "张量乘积法" 英文翻译 :    tensor-product method
• "左张量乘积" 英文翻译 :    left tensor product
• "标量；数量" 英文翻译 :    scalar quantity
• "标量波" 英文翻译 :    scalar wave
• "标量场" 英文翻译 :    scalar field; scalar point function
• "标量簇" 英文翻译 :    scalar cluster
• "标量和" 英文翻译 :    scalar sum

• A markov - chain based performance analysis method for scalar multiplication on elliptic curve
  链的椭圆曲线标量乘法算法性能分析
• ( 4 ) for the second hierarchy mentioned above , the key operation is the scalar multiplication , especially , the pairs of scalar multiplication used in certain practical elliptic curve cryptosystems
  ( 4 )对于第二层次的运算，关键是点元素的标量乘法运算，特别是在某些具体的椭圆曲线密码体制中需要直接计算标量乘法对。
• In this paper , it applies the technique of artificial neural network to classify the em signals from the scalar multiplication in ecc , and gets the secret parameter in scalar multiplication successfully
  文章针对椭圆曲线密码系统中的标量乘法运算时发射的电磁信号，运用人工神经网络技术进行分类判别，从而获取标量乘法中的秘密参量。
• Ecc is considered to be an alternative to rsa . this article provides a brief description of rsa public key cryptography and the associated knowledge , in particular introduces non - supersingular elliptic curves e which is established on the finite field fp with p > 3 , in - depth studies present existed scalar multiplication , further proposes an improved signed sliding window algorithm on ecc under the mixed coordinates , the improved algorithm compatible the advantage of the naf , has the least number of zero window and avoid a large number of inverse operation , successfully reduce scalar multiplication calculation
  本文阐述了椭圆曲线及其相关知识,特别说明了建立在有限域fp (其中p是大于3的素数)上的非奇异椭圆曲线e ,深入研究目前已有的各种标量乘法,由此提出了椭圆曲线密码算法在混合坐标下改进的带符号滑动窗口算法,该算法兼容了naf方法的优点,拥有最少数目的非零窗口数,又避免了域元素上的大量求逆运算,较成功地减少了标量乘法计算量。
• Operation layer is the basic core part in elliptic curve encryption system including how to calculate elliptic curve ' s stairs is a large prime or including a large prime gene to ensure elliptic curve to be safe elliptic curve ; in this article safe elliptic curve is chosen by p1363 sae algorithm . besides , how to achieve fast point multiplication will influence the performance efficiency of the whole encryption system ; in this article , for different situations , signed binary method and rolling window method are respectively applied to perform quick operation of elliptic curve ' s point multiplication
  运算层是椭圆曲线密码体制实现的最基础、最核心的部分，包括如何来计算椭圆曲线的阶为大素数或含有一个大的素因子，以保证所选取的椭圆曲线为安全椭圆曲线，本文根据ieeep1363协议的sea算法实现了安全椭圆曲线的选取；另外如何实现标量乘的快速运算，将会影响整个密码系统的实现效率，本文根据不同情况对椭圆曲线的标量乘法分别采用了带符号的二进制法和滑动窗口法进行快速运算。
• In the dissertation , a " fast shamir algorithm represented by five - element joint sparse form " is presented . and it is demonstrated that comparing with other similar algorithms , the total numbers of the computation of our algorithm can be saved about 10 % , in the case of 192bit key . ( 5 ) in the implementation of elliptic curve cryptosystem , one of the key steps is to design and implement the base - point choice algorithm of elliptic curve finite group
  已经证明，用本文提出的“五元联合稀疏形式表示的shamir算法”计算标量乘法对，在192bit的密码体制中，其计算量比同类算法平均减少了10儿（ 5 ）实现椭圆曲线密码体制还有一个关键的步骤，就是椭圆曲线有限群基点选取算法的设计与实现。
• Firstly , we generalize and analyze the advantages and present research of elliptic curve cryptography ; secondly , we study the basic theory of the ecc ; thirdly , we illustrate the safety of the ecc and discuss the elliptic curve key agreement scheme , elliptic curve encryption scheme and elliptic curve digital signature algorithm ; fourthly , we study fast algorithms of the multiplication and inversion multiplication of the element of in the underlying finite field f2m whose characteristic is two represented by the two basis of optimal normal basis and polynomial basis . we make improvements to the fast algorithm of the polynomial basis multiplication by hankerson and base on the experiments , we describe the properties and compare the advantages of the multiplication and inversion multiplication of the elements in f2m field under optimal normal bases and polynomial basis . results concluding from the study car be used as references in the realization of the elliptic curve cryptosystem ; fifthly , we overview the current fast algorithm of point multiplication , improve the fix base point comb algorithm , advance the speed of the whole system and remark the advantages and disadvantages of the popular algorithms based upon the experimental datas ; sixthly we realize the algorithm library of elliptic curve cryptography based on the f2m . only change slightly in our algorithm library can we realize the ecdh , eces , ecdsa based onf2m of anysize ; seventhly , we realize the ecc on two secure elliptic curves , including ecdh , eces , ecdsa
  本文首先介绍并分析了椭圆曲线密码体制的优点及研究现状；其次研究了椭圆曲线密码体制的基本理论；第三，分析了椭圆曲线密码的安全性并介绍了密钥共享，加密，数字签名等椭圆曲线密码体制；第四，深入研究了特征为2的有限域f _ 2m中的元素在多项式基和最优正规基表示下的乘法运算和乘法逆运算的快速算法，并对hankerson等人提出的多项式基下的乘法运算的快速算法作了改进，而且在实验的基础上不仅分析研究了f _ 2m域中元素在多项式基和最优正规基表示下的乘法和乘法逆运算的性能，还对这两种基表示下的f _ 2m域中元素运算效率的优劣作了比较和研究，所得的结论可供在实现椭圆曲线密码体制时参考；第五，研究了目前流行的计算椭圆曲线标量乘法的快速算法，同时改进了固定基点梳形法，提高了整个系统的速度，并在实验的基础上分析研究了流行算法的优劣；第六，实现了基于f _ 2m的椭圆曲线密码体制的算法库，在我们的算法库中只需稍微改变便能实现基于任意尺寸的f _ 2m上的ecdh ， eces ， ecdsa等椭圆曲线密码体制；第七，实现了两条安全椭圆曲线上的椭圆曲线密码体制，包括ecdh ， eces ， ecdsa 。

• 标量乘法的法语：Multiplication par un scalaire
• 标量乘法的韩语：스칼라 곱셈
• 标量乘法的俄语：Умножение на скаляр
• 标量乘法的印尼文：pendaraban skalar; perkalian skalar;