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 。
Adding air - entrained agent can enhance the heat preservation performance of pumice concrete and improve its durability. using water - reducing admixture can improve the performance of pumice concrete, but the quantum is bigger than in the ordinary concrete
為獲得良好的物理力學性能並
提高混凝土的和易性,摻加減水劑對其性能改進具有明顯的技術經濟效果,其摻量要比普通混凝土
稍高。
The results of the uni - factor experiments and perpendicular experiments show their best mechanic synthesizing craft as followed : nvp ( 10 % wt ), kh570 ( 20 % wt ), hema ( 70 % wt ), initiator ( 0. 2 % wt ), crosslinker ( 20 % wt ), reacting 20 hours under 80 c. the factors which influenced organic silicon modified pvp hydrogel soft contact lens material ' s swelling capabilities were researched, which included temperature, monomer content, ion concentration etc. the experiments showed the equation swelling content ewc improved with the increase of nw, droped with the increase of kh570 and ion concentration, improved then droped with the raise of temperature, and hydrogels got the least ewc at 45 c. experiment carried on todiscuss water dehydration mechanism of organic silicon modified pvp hydrogel soft contact lens materials, which showed dehydration process could be divided into evaporating stage and diffusing stage
正交實驗結果表明, nvp ? hema ? kh570共聚物的機械性能最佳時,其合成工藝條件為: nvp用量10 (質量百分含量,下同) , kh570用量20 , hema用量70 ,引發劑aibn用量0 . 2 ,交聯劑nmba用量0 . 2 ,反應溫度為80 ,反應時間16h 。討論了單體配比、溶脹溫度、離子濃度等因素對有機硅改性pvp水凝膠軟接觸透鏡材料溶脹性能的影響。實驗得出:水凝膠材料的平衡溶脹度ewc隨單體nvp含量的增加而增大, ewc隨kh570用量的增加而減小,隨離子濃度的增大而略微降低,隨溶脹溫度的升高先
稍微下降後有所
提高, 45時平衡含水量最低。
Round these two respects, how to structure security elliptic curve cryptography and the implementations of ecc is first discussed in this paper. then we have analysed especially the scalar multiplication on the elliptic curves, and present a new algorithm to quickly implement the fixed point scalar multiplication according to the idea of interleaving exponentiation algorithm and power division. this algorithm is much faster than fixed - base windowing method ; and a little faster than fixed - base comb method
圍繞這兩個方面的問題,本文首先討論了如何構造安全的橢圓曲線密碼體制和橢圓曲線密碼體制的應用;然後重點分析了橢圓曲線上數乘運算的快速實現,並結合interleavingexponentiation演算法和冪分割的思想,
提出一種計算固定點數乘的快速演算法,該演算法的計算速度明顯快于fixed - basewindowing演算法,
稍快于fixed - basecomb演算法。
One of the maids mentioning the fairy cave, quite turned her head with a desire to fulfil this project : she teased mr linton about it ; and he promised she should have the journey when she got older
有個女僕
提起了仙人洞,這大大地打動了她的心,就想實現這個打算,她硬要林敦先生答應這件事,他答應她
稍微長大點時可以去一趟。
Were i to advise any man for whom i had the least regard, i would caution him by all means not to be imposed upon by their false pretences.
要是讓我對于自己
稍稍關心的人給一點忠告的話,我就要千方百計地
提醒他:千萬不要被那些人的虛假借口所蒙蔽。
He - probably swayed by prudential consideration of the folly of offending a good tenant - relaxed a little in the laconic style of chipping off his pronouns and auxiliary verbs, and introduced what he supposed would be a subject of interest to me - a discourse on the advantages and disadvantages of my present place of retirement
也許他也已察覺到,得罪一個好房客是愚蠢的,語氣便
稍稍委婉些,
提起了他以為我會有興趣的話頭談到我目前住處的優點與缺點。
4 ) soil nutrient of leguminosae also higher than non - vegetation soil ; while organic matter and available k increased, there was no significant change in total n ( it increased slightly ) ; available p and soil ph decreased
4 )豆科植物較無植被覆蓋地,土壤養分朝著良性循環轉變。土壤有機質、速效鉀含量
提高,全氮含量
稍有增加,速效磷含量降低, ph值有所下降;這些變化主要發生在土壤表層。
In practice, most planes either are delayed or arrive slightly ahead of schedule.
實際上,大多數飛機不是晚點,就是比時間表
稍稍提前到達。
Later, kinmen county magistrate lee juh - feng visited the the supreme master ching hai international association booth to encourage the fellow practitioners, saying, ive heard a great deal about supreme master ching hai and am delighted and grateful to the association for its display of her exquisite creations, which are a significant attraction at your booth
金門縣長李炷烽先生
稍後來到世界會的展場參觀,為同修們加油打氣。縣長表示他對清海無上師早已耳熟能詳,世界會
提供這么精採的藝術作品,讓這次燈展增色不少,他內心充滿無限感恩與喜悅。
Lecture notes in computer science 843. berlin : springer - verlag, 1994, pp. 89 - 94. 8 inoue k, ito a, takanami i. on 1 - inkdot alternating turing machines with small space
為了嚴格地分開確定性語言族和非確定性語言族, ranjan等
提出了一個
稍加修改的圖靈機模型,稱為1墨水點1 inkdot圖靈機。
After struggling till both were hot and flushed, each relaxed his strain with watchful caution, and tom said : " you re a coward and a pup
他們直斗得渾身燥熱,滿臉通紅,然後兩人
稍稍放鬆,卻都小心謹慎地
提防著對方。
Keyword on methods to explicitly bind the method to an event ; doing so can result in slightly faster performance
關鍵字,以便將方法顯式綁定到事件。這樣做可以稍稍提高性能。