橢圓素 的英文怎麼說
中文拼音 [tuǒyuánsù]
橢圓素
英文
ellipsin-
Selection of secure elliptic curves, implementation of elgamal encrytion and signature over big prime field ; 2. fpga implementation of point multiplication ; 3. at last put forward two blind signature based on ecc, nyberg - rueppel blind scheme and dsa blind scheme, these two schemes can be used in e - cash svstems
作者所做的主要工作有: ( 1 )實現了安全橢圓曲線的選取,實現了基於大素數域上的橢圓曲線的elgamal加解密和數字簽名: ( 2 )設計了標量乘的fpga功能模擬; ( 3 )最後提出兩種用橢圓曲線密碼體制實現的盲簽名方案,基於ecc的nvberg - rueppel盲簽名方案和基於ecc的dsa盲簽名方案,這兩種方案可以用於電子現金系統獲得匿名性。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 。A new waveguide made of changing a wide wall of a rectangular waveguide to a uniform curved wall is called conformal waveguide. a kind of expression of approximate solution for domain mode of the new waveguide, including symmetric, unsymmetric arc, parabolic arch, hyperbolic arch, elliptic arch, etc., is constructed by using boundary condition of mental waveguide, variational method and boundary element method. by using the equivalence principle, an approximate calculating formula for equivalent resonant conductance of a narrow longitudinal halfwavelength slot cut in the curved wall of the unsymmetric arcrectangular waveguide is derived, and the result is shown. although this solution is approximate, it can solve the problem in designing the slotted antenna of such conformal waveguide
把矩形波導一個寬面外突成均勻曲面構成的新波導統稱為共形波導.利用金屬波導邊界條件、變分法、邊界元素法構造這種新波導中主模場的一種近似解表達式,包括曲面橫截線為對稱、非對稱圓弧,拋物線弧,雙曲線弧,橢圓弧等.然後根據等效原理,推導非對稱圓弧矩形波導曲面上窄的縱向半波長縫隙的等效諧振電導的近似計算公式,給出計算曲線.這種解雖然是近似的,但卻能解決這類共形波導縫隙天線的工程設計The main task of this article contains : ( l ) compares algorithm and encryption and decryption between the widely - used public key encryption system rsa and ecc ; ( 2 ) directing against present elliptic curve attack algorithm, uses sea algorithm to perform choosing of safe elliptic curve and to achieve based on prime field elliptic curve ' s elgamal encryption and decryption and digital signature ; ( 3 ) discusses elliptic curve ' s application on smart card and proposes two identification plans based on eec
綜上所述,本論文所作的主要工作有: ( 1 )對目前應用較廣的公鑰密碼體制rsa和ecc演算法及加解密實現進行比較。 ( 2 )針對目前已有的橢圓曲線攻擊演算法,使用sea演算法實現了安全橢圓曲線的選取,實現了基於大素數域上的橢圓曲線的elgamal加解密和數字簽名。 ( 3 )討論了橢圓曲線在智能卡上的應用,並提出了兩種基於ecc的身份認證方案。If we know the exact value of vvm we will have, for integers n < m, a deterministic primality testing algorithm which is not only easier to implement but also faster than either the jacobi sum test or the elliptic curve test. thanks to pomerance et al
如果知道了_ m的準確值,那麼對小於_ m的整數n ,我們就有了一個確定性素性測定演算法,它不僅容易實現而且比jacobisum測試和橢圓曲線方法都要快。In this paper, the author primarily introduces how elliptic curves have been applied to public key cryptography from algebra and number theory, analyzes the advantage and security of ecc. the work the author has done is : ( 1 ) study the arithmetic of ecc on the encryption / decryption, digital signature and key exchange schemes and analyze their security performance ; ( 2 ) propose a new id - based group signature with existed id - based digital signature and discuss its application in digital cash ; ( 3 ) realize the electronic auction system and key authentication system with ecc
作者所作的主要工作有: ( 1 )研究了基於大素數域上的橢圓曲線密碼在加密解密、密鑰交換、數字簽名等方面的密碼協議並分析了每種協議的安全性能; ( 2 )在現有基於身份的數字簽名方案的基礎上提出了基於身份的群簽名系統並討論了群簽名在數字現金中的應用; ( 3 )給出了橢圓曲線密碼在電子拍賣系統、密鑰認證系統方面的實現方案。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。Its security is ensured by the difficulty of elliptic curve ' s discrete logarithm problem by means of the exclusion of supersingle and anomalous elliptic curves and the adoption of a big prime ( more than 160 bits ) for the order of base - point in elliptic curve in this scheme of data encryption
加密方案中沒有使用超奇異橢圓曲線及異常橢圓曲線,橢圓曲線上基點的階為大素數(長度160比特) ,保證了橢圓曲線離散對數問題的難解性,從而最終保證了整個方案的安全性。Studies on mineral elements for cultivated halenia ellipitica d. don in qinghai province
種植青海橢圓葉花錨中礦物質元素特徵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。A static and a transient analysis of an embedded crack in a long elastic strip are carried out. the results are approximate to the ones that existed. and the effects of the factors including the crack configuration, the crack depth, the strip length and the strip thickness on the transient response are discussed
對含內埋橢圓裂紋的板條進行了靜態和瞬態分析,得到的結果與已有的解吻合良好,對影響瞬態響應的因素如裂紋形狀、裂紋深度、板條長度、板條厚度做了分析比較。Select the eliptical marquee tool and draw a circle 242 242 pixels while holding shift to get a perfect circle. position this circle around the first circle
用」橢圓選擇工具」並按住」 shift 」畫一個」 242 242 」像素的正圓.並把這個正圓放在第一個正圓正後方The solutions are obtained utilizing the integration of properly weighted centres of dilatation over the volume occupied by the body
通過體積元素積分得到的調和勢函數通過橢圓積分及其導數表示。Steel tubes. structural welded tubes, circular, square, rectangular or oval, in ferritic or austenitic stainless steels. dimensions. technical delivery conditions
鋼管.不銹鋼鐵素體和奧氏體鋼制圓形正方形矩形或橢圓形建築用焊接鋼管.尺寸.交貨技術條件The procedure of this dissertation divides into two hierarchies. first, the finite field gf ( pm ) and arithmetic among field elements are concerned in chapter 3 and chapter 4. second, elliptic curve finite group e ( gf ( pm ) ) and arithmetic among point elements are concerned in chapter 5 and chapter 6
本文的工作可分為兩個層次:第一層次,關于基域gf ( p ~ m )及其域元素之間的運算,這包括在第三和第四章;第二層次,關于橢圓曲線有限群e ( gf ( p ~ m ) )及其點元素之間的運算,這包括在第五和第六章。The ratio of mach number between lateral jet and free flow induce intensity degree of jet interaction. it has no obvious difference between two interactions with two types of nozzle exit configuration, rectangle and ellipse. the shock in front of jet results in increase of shock resistance and the jet ejection causes increase of base resistance
研究表明,側噴流與來流馬赫數之比是影響繞流場的重要因素,該值越大則側噴干擾越強烈,矩形和橢圓形兩種側噴口形狀對側噴流場干擾波系的影響並不明顯。The cuff - link comes in so many guises ? understated gold ovals and diamond studs ; enamelled 1950s pin - ups and novelty taps ; compasses and road signs ? there may seem to be little room for radical re - invention
袖扣款式多種多樣? ?樸素的黃金橢圓形袖扣和鉆石袖扣;上世紀50年代帶有攝影模特照片的琺瑯袖扣和新奇的水龍頭袖扣;指南針和路標? ?在這一領域,似乎不存在進行徹底再創造的空間了。分享友人