標量乘法 的英文怎麼說
中文拼音 [biāoliángchéngfǎ]
標量乘法
英文
scalar multiplication-
In the stage of the sun and the moon in sight, azimuth of the sun, the earth and the moon in the spacecraft body coordinate system is simulated. combining the simulated azimuth with the ephemeris of the sun and the moon, the state equation and observation equation are modeled. the initial orbital parameters calculated by least square method are used in orbit state equation to predict spacecraft state and to realize autonomous navigation
在日月可見階段,模擬日、地、月敏感器測量信息,即日、地、月在航天器本體坐標系下的方位信息,結合日月星歷,建立狀態方程及觀測方程,通過最小二乘法得到歷元時刻的軌道狀態初始值,將其代入軌道狀態方程進行自主導航。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
本文首先介紹並分析了橢圓曲線密碼體制的優點及研究現狀;其次研究了橢圓曲線密碼體制的基本理論;第三,分析了橢圓曲線密碼的安全性並介紹了密鑰共享,加密,數字簽名等橢圓曲線密碼體制;第四,深入研究了特徵為2的有限域f _ 2m中的元素在多項式基和最優正規基表示下的乘法運算和乘法逆運算的快速演算法,並對hankerson等人提出的多項式基下的乘法運算的快速演算法作了改進,而且在實驗的基礎上不僅分析研究了f _ 2m域中元素在多項式基和最優正規基表示下的乘法和乘法逆運算的性能,還對這兩種基表示下的f _ 2m域中元素運算效率的優劣作了比較和研究,所得的結論可供在實現橢圓曲線密碼體制時參考;第五,研究了目前流行的計算橢圓曲線標量乘法的快速演算法,同時改進了固定基點梳形法,提高了整個系統的速度,並在實驗的基礎上分析研究了流行演算法的優劣;第六,實現了基於f _ 2m的橢圓曲線密碼體制的演算法庫,在我們的演算法庫中只需稍微改變便能實現基於任意尺寸的f _ 2m上的ecdh , eces , ecdsa等橢圓曲線密碼體制;第七,實現了兩條安全橢圓曲線上的橢圓曲線密碼體制,包括ecdh , eces , ecdsa 。The main place of innovation of this paper is to grasp the advantage of different algorithms, from different angles and levels improve modular exponentiation algorithm and scalar multiplication algorithm, and achieve new algorithm which can provide reference to the implementation of rsa and ecc, meantime the new algorithm have greater practical value
本文的創新點在於綜合各種演算法在不同方面的優勢,從不同角度和不同層次去改進模冪演算法和標量乘演算法,得到的新演算法可供在實現rsa和橢圓曲線密碼體制時參考,具有較大的實用價值。On the base of var. analysis significance of the experimental treatment, we investigated crop response to water - salt stress regularity, studied the quantity relationship about crop yield and soil water and salt, established a function about them referring to blank and jense water model. conclusions as follows : ( 1 ) the effect of germinating time and rate emergence are different in soil with different salt content, and limited seriously in heavy saline soil
在方差分析確認試驗處理顯著的基礎上,對作物生理生育指標(株高、莖粗、葉片數、花盤直徑、干物質量、葉水勢、籽實產量)進行統計分析探索作物水鹽響應規律;研究作物產量與土壤水分鹽分聯合作用的定量關系,參照水分的blank加法和jense乘法模型結構,建立作物水鹽響應模型。Passenger cars - luggage compartments - method of measuring reference volume
乘用車行李艙標準容積的測量方法The sensitive index obtained by least - squared method sometimes can not be scientifically explained in terms of crop physiology. the phenomenon is related to the statistical distribution of experiment data in addition to the number of experiment treatment and water deficit level
受最小二乘法求優數學解的約束,在求解作物水分響應模型的敏感指標時常出現從作物生理和物理上難以科學解釋的情況,這除與試驗處理數量多少及缺水水平有關外,也與試驗數據的統計分佈有關。As for single objective optimization algorithm, a fast iterative algorithm based on conjugate gradient algorithm is presented, which makes use of extent limit of iterative optimization step in conjugate gradient with the idea of least square
在標量優化圖像重建法中,作者以最小二乘為目標,利用共軛梯度法中迭代最優步長的區間性,提出了一種基於共軛梯度法的快速迭代演算法。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
運算層是橢圓曲線密碼體制實現的最基礎、最核心的部分,包括如何來計算橢圓曲線的階為大素數或含有一個大的素因子,以保證所選取的橢圓曲線為安全橢圓曲線,本文根據ieeep1363協議的sea演算法實現了安全橢圓曲線的選取;另外如何實現標量乘的快速運算,將會影響整個密碼系統的實現效率,本文根據不同情況對橢圓曲線的標量乘法分別採用了帶符號的二進製法和滑動窗口法進行快速運算。( 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 )對于第二層次的運算,關鍵是點元素的標量乘法運算,特別是在某些具體的橢圓曲線密碼體制中需要直接計算標量乘法對。Optical vector - matrix multiplier is a kind of integrated optical device and it is necessary to study the effect of the diffraction. based on the scalar diffraction theory, the transformation of gaussian beam by each component of the vmm is calculated by collins formula, and the distributions on the slm and ccd are investigated
本文在標量衍射理論體系下,應用柯林斯( collins )公式對光學矢量-矩陣乘法器的光場分佈進行模擬計算,得到slm和ccd接收面上的光場分布圖。First, it presents the basic concept and theory of the elliptic curve, discussing the choice of the coordinate system and fast realization of several point multiplication algorithm, studying all kinds of operation of the field element
首先介紹了橢圓曲線的基本概念和理論,討論了坐標系的選擇和幾種標量乘演算法的快速實現,研究了域元素的各種運算。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
本文闡述了橢圓曲線及其相關知識,特別說明了建立在有限域fp (其中p是大於3的素數)上的非奇異橢圓曲線e ,深入研究目前已有的各種標量乘法,由此提出了橢圓曲線密碼演算法在混合坐標下改進的帶符號滑動窗口演算法,該演算法兼容了naf方法的優點,擁有最少數目的非零窗口數,又避免了域元素上的大量求逆運算,較成功地減少了標量乘法計算量。Gives techniques for improving the speed of matrix multiplication by more than a factor of two on superscalar risc processors
講述在超標量risc處理器上用大於二的因子來提高矩陣相乘的速度的方法。A markov - chain based performance analysis method for scalar multiplication on elliptic curve
鏈的橢圓曲線標量乘法演算法性能分析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
文章針對橢圓曲線密碼系統中的標量乘法運算時發射的電磁信號,運用人工神經網路技術進行分類判別,從而獲取標量乘法中的秘密參量。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
已經證明,用本文提出的「五元聯合稀疏形式表示的shamir演算法」計算標量乘法對,在192bit的密碼體制中,其計算量比同類演算法平均減少了10兒( 5 )實現橢圓曲線密碼體制還有一個關鍵的步驟,就是橢圓曲線有限群基點選取演算法的設計與實現。Fundamentally, both vector and scalar processors execute instructions based on a clock ; what sets them apart is the ability of vector processors to parallelize computations involving vectors such as matrix multiplication, which are commonly used in high performance computing
從根本上來講,向量處理器和標量處理器都是基於時鐘周期來執行指令的;使它們產生區別的是向量處理器并行處理與向量有關的計算的能力(例如矩陣乘法) ,這在高性能計算中是非常常見的。Having obtained an initial position with a least - square method, a more precise result can be worked out from information contained in the bearing measurements
在利用最小二乘法獲得定位初值后,根據每次角度測量的信息進行目標位置估計。It is proved by its performance analysis and experimental results that the utilization of processors is increased, that all processors have better load balance. therefore the efficiency of computing scalar multiplication is heightened
其演算法性能分析和實驗結果證明:改進演算法可提高處理器的利用率,保證各處理器單元具有較好的負載均衡特性,從而加快標量乘的計算速度。Tow methods are used for calculationg economic aggregates at comparable prices 1. multiplying the output of products by their constant prices of certain year ; 2. deflation of data at current prices by relevant price index
按可比價格計算總量指標有兩種方法:一種是直接用產品產量乘某一年的不變價格計算:另一種是用價格指數進行伸縮。分享友人