素多項式 的英文怎麼說

中文拼音 [sùduōxiàngshì]
素多項式 英文
prime polynomial
  • 素 : Ⅰ形容詞1 （本色; 白色） white 2 （顏色單純） plain; simple; quiet 3 （本來的; 原有的） native Ⅱ名...
  • 項 : Ⅰ名詞1 （頸的後部） nape （of the neck） 2 （款項） sum （of money） 3 [數學] （不用加、減號連接...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  1. 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 。
  2. When the water - air ratio increases, air ' s changing quantity of enthalpy and absolute humid will be enhanced. at last, the paper analyses the data from single factor experiment by mathematics method and gets relationship formulas about the nozzle flux, valid humidifying quantity and air ' s enthalpy changing quantity

    最後，對上述單因素試驗得到的數據進行數學分析，運用線性回歸分析、多項式回歸分析和非線性回歸分析的數學方法，得到影響撞針型高壓小孔徑離心式噴嘴的噴嘴流量、有效加濕量和空氣焙變量的數學關系式。
  3. As we know, the key of polynomial selection in nfs are size and root properties. in this thesis we deeply discuss and study these two factors

    本文分別對影響數域篩法中多項式選擇的兩大因素：多項式大小和根的屬性進行了深入的分析和研究。
  4. The main focus concentrates on the two most time consuming arithmetic in finite field calculation, field inversion and field multiplication. by analyzing in detail the performance of algorithms in composition fields, we have drawn a conclusion that the time consuming of square is less than that of multiplication with itself

    在對復合域中的演算法進行詳細分析后發現，多項式平方運算比元素自乘有更好的時間特性，因此盡可能地用平方運算替代自乘運算是在復合域中進行演算法優化的主要手段。
  5. In this dissertation, the data process ( dp ) subsystem and radar control program ( rcp ) subsystem of gbr simulation system have been studied and discussed. the main work and innovation of this dissertation is as follows : ( 1 ) track filter, the basic element of track system, has been researched. we analyze the advantage and disadvantage of common target kinematic model such as constant velocity model, constant acceleration model, noval statistic model

    本文是基於某gbr模擬系統的合作項目中，本人負責的數據處理子系統和雷達控製程序子系統的研究和開發的結果，主要進行的工作和創新有: （ 1 ）基於跟蹤系統最基本的要素-跟蹤濾波，分析了當前常用的微分多項式模型， cv與ca （常速與常加速）模型，時間相關模型， noval統計模型，以及機動目標「當前」統計模型等目標運動模型的優缺點和雷達的觀測誤差。
  6. At the same time, image distortion is corrected by polynomial to handle expediently and the method of selecting reference points and the factor of influencing precision is discussed

    為了提高測量的易用性，標定過程中採用多項式來校正圖像的畸變，並討論了控制點的選取方法和影響標定精度的因素。
  7. Because these factors make change more often, soil time space variability is more bigger. the relationship of single factor between soil water infiltration capacities and certain influencing factor could be established quantitatively by means of soil water infiltration tests in indoor, there is negative correlation relation between soil water infiltration capacities and soil structure. there is negative correlation relation in high grit content and low physical clay content soil, and second - degree polynomial relation in high physical clay content junk structural soil between soil water infiltration capacities and soil moisture

    由於這些因素在時刻發生變化，使得土壤的時空變異性較大，只能用室內土壤水分入滲試驗來定量確定土壤水分入滲能力與某些影響因素之間的單因子相關關系，土壤水分入滲能力與土壤結構之間呈負相關關系，土壤水分入滲能力與土壤含水量之間在土壤砂粒含量高，物理性粘粒含量低的無結構土壤中呈負相關關系，在物理性粘粒含量高的團粒結構土壤中呈二次多項式關系。
  8. One is the 191 bits secure curve of ansi x9. 62, elements in f2m field represented by polynomial basis, the other is the 148bits secure curve in our secure curve library elements in f2m field represented by optimal normal basis ; the conclusion summarizes the whole paper and preview the the further developments of the work we have done

    一條是ansix9 . 62中的191bit的安全曲線， f _ 2m中的元素用多項式基表示，一條是我們安全曲線庫中的148bit的安全曲線， f _ 2m中的元素用最優正規基表示；最後對本文進行總結和展望了以後的工作。
  9. So, we put forward an optimized exponential algorithm in which the multiplication with itself was substituted mostly by square. through expanding of composition fields, the time consuming of optimal algorithm is, where n is the number of bits of exponential

    通過對演算法的分析我們可以得出結論，隨著復合域的不斷增大，域上指數運算所需的時間可近似表示為，式中n為指數以二進製表示時的比特串長度，為域元素進行多項式相乘所需的時間。
  10. We also review parallel computing model, parallel programming model and the software engineering for numerical applications. ( 2 ) on spectral element method and parallel computing of 2 - d spectral element shallow water model i ) we put forward a hybrid - local - basis theorem, and give two kinds of local basis schemes fitting for both the chebyshev polynomials and the legendre case

    （ 2 ）關于譜元素方法及兩維半隱譜元素淺水波模式的并行計算? ）依據切比契夫多項式和勒讓德多項式的計算特點，提出了一個混合局部基函數預備定理，給出了兩類混合局部基譜元素格式。
  11. Therefore, by analyzing corner model and spatial moments functions, spatial - moments - generating polynomials are used as one decision rule of corner detection measure

    本文通過分析角特徵模型和空間矩函數，推導出空間矩多項式對角特徵象素點的判別準則。
  12. The oblivious polynomial evaluation protocol will be used many times in our privacy preserving naive bayesian classifier, so its efficiency is important to the solution

    健忘多項式計算協議在保持隱私的樸素貝葉斯分類器協議中多次用到，因此協議的效率是一個需要關心的問題。
  13. Paper [ 76 ] provides a integer algorithm for rasterizing free curves, we need change the curve form to implicit function form, then use curve ' s positive - negative property to draw, but we ca n ' t use this algorithm when curve ' s degree is higher than 3 and this algorithm ca n ' t avoid using multiplication ; paper [ 77 ] provides a new generating algorithm, this algorithm can draw bezier very well, but for b - spline curve, we need use convert them into bernstein base form. because this process spends a lot of time, this algorithm has not a good speed and effect for rendering rational b - spline curve

    現在經常採用的演算法也是基於幾何的演算法（即線式生成演算法）和基於像素的演算法（點式生成演算法） ;文獻78 ]提供了一種有理參數曲線的快速逐點生成演算法，該演算法對有理b吮ier曲線的繪制，能起到很好的作用，但是對于有理b樣條曲線，必須先通過多項式的代數基與bemstein基間的變換矩陣，把原式用bemstein基表示，這一過程由於計算量大，降低了曲線生成的速度和效率
  14. And then, the thesis import a thrice - polynomial technology to depict the yield curve of shanghai stork exchange market and gained the yield curve chart. under one factor model hypothesis, deduce the bond pricing formulae. based on 1945 data of buy - back rate in banking market, the thesis use ols and gmm estimation technologies to estimate the parameters of vasicek model, cir model, and ckls model, and verify which model can explain the china market ’ s short rate ’ s wave

    然後，從實證的角度，用三次多項式來擬合上交所國債收益率曲線，並得出收益率曲線圖，在單因素模型推導了動態理論期限結構下的債券定價公式，並以1945個中國銀行間債券市場7天回購利率數據作為短期利率的代表，驗證vasicek模型、 cir模型與ckls模型是否適用中國短期利率的波動行為，估計出三個模型的參數。
  15. Due to the existing volatility, stochastic and dynamic properties of cash flow, this paper employs exponential smoothing method and moving average method to eliminate the effects of the stochastic factors, use the seasonal exponent to eliminate the seasonal volatility of the cash flow, the exponent curve and polynomial fitting curve to estimate the overall cash flow and also provides the calculating methods and identifying principle of the overall cash flow

    由於現金流量的波動性、隨機性、動態性等特性的存在，依靠單一方法無法科學、準確的預測現金流量。論文提出利用指數平滑和移動平滑的方法來剔除隨機因素影響，利用季節指數來消除現金流量的季節波動，之後再利用指數曲線或者多項式擬合曲線來預測整體現金流量的方法，並給出了整體現金流量的計算方法和確定原理。
  16. The polynomial regression showed that the change range of pigment gland density was more wide in hybrid population, our aim was to look for good plant by selecting hybrid

    多項式回歸分析結果表明：色素腺體密度在雜種群體中變化范圍較為廣泛，因而對雜種進行選擇，可望得到理想植株。
  17. Factors that affect two - phase flow pressure drop are discussed in details at first. polynomial is used to fit the relation between property of differential pressure signal and lockhart - martinelli parameter x. based on the relation, a dual - parameter identification scheme using only differential pressure signal is given

    討論了影響兩相流壓降的因素，用多項式擬合的方法研究了不同流型下差壓信號方差與lockhart ? martinelli參數x之間的函數關系。
  18. Since 1980s, many mathematicians have been engaged in studying the applications of the grobner basis such as solving the system of algebraic equations, factoring polynomials, testing primary ideals, factoring algebraic manifolds, decoding circular codes in corrected codes and algebraically geometrical codes, analyzing and synthesizing high dimensional linear recurring arrays in cryptology, dealing with multidimensional systematic theory, signaling, solving integer programming and so on

    ） bner基的應用研究包括代數方程組求解，多項式的因子分解，素理想的檢驗，代數流形的分解，糾錯碼中循環碼和代數幾何碼的譯碼，密碼學中高維線性遞歸陣列的分析與綜合，多維系統理論，信號處理和求解整數規劃等諸多領域。
  19. Under different rev and loads, the optimal diesel / alcohol proportion would be different. in order to find out the change rule of optimal diesel / alcohol proportion, an orthogonal regression rotating experiment of three factors ( rev, diesel / alcohol proportion and load ) at five levels has been carried out. based on the experiment, four regression equations including energy consumption, soot emission, noise level, and power equations concerning the three factors have been established

    在性能試驗的基礎上，還進行了三因素五水平的二次正交回歸旋轉組合試驗，建立了能耗率、煙度、噪聲、功率與轉速、酒精摻燒率及負荷率之間的回歸模型，通過分析可知，這些模型具有較高的可信度；利用這些模型，本文最後對不同工況下的最佳酒精摻燒率進行優化分析，並利用正交多項式回歸，求出了最佳摻燒率與轉速、負荷之間的回歸模型，該模型在今後的深入研究中將起到一定的指導作用。
  20. The techniques for constructing extension fields are typically more involved than those for constructing prime fields and draw largely from the theory of polynomials over finite fields

    構造擴展域的技術比那些構造素數域的要復雜的多，而且大多數是建立在基於有限域的多項式理論基礎上的。
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