fixed based points in Chinese
Translation
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- 固定基點(diǎn)
- "fixed" in Chinese : adj. 1.固定的；確定的，不變的，固執(zhí)的。 2.【化 ...
- "base" in Chinese : adj. 1.賤的，劣的；卑下的，低級的；卑鄙的。 2. ...
- "point" in Chinese : n. 1.尖頭，尖端；尖頭器具；〔美國〕筆尖；接種針，雕 ...
- "fixed points" in Chinese : 固定點(diǎn); 觀測點(diǎn)
- "compasses with fixed points" in Chinese : 繪圖測距用兩腳規(guī)
- "defining fixed points" in Chinese : 確定的溫度基點(diǎn)
- "fixed points method of calibration" in Chinese : 定點(diǎn)法標(biāo)定
- "framework of fixed points" in Chinese : 控制點(diǎn)網(wǎng)
- "furnace for reproduction of fixed points" in Chinese : 定點(diǎn)爐; 漏斗式泥漿粘度計(jì)
- "method of fixed points" in Chinese : 定點(diǎn)法
- "method of fixed-points" in Chinese : 定點(diǎn)法
- "non-fixed points" in Chinese : 阿是穴
- "problem of fixed points" in Chinese : 不動點(diǎn)問題
- "give bonuses based on work points" in Chinese : 按分計(jì)獎(jiǎng)
- "fixed land-based launcher" in Chinese : 固定陸基發(fā)射器
Examples
- 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
本文首先介紹并分析了橢圓曲線密碼體制的優(yōu)點(diǎn)及研究現(xiàn)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并介紹了密鑰共享，加密，數(shù)字簽名等橢圓曲線密碼體制；第四，深入研究了特征為2的有限域f _ 2m中的元素在多項(xiàng)式基和最優(yōu)正規(guī)基表示下的乘法運(yùn)算和乘法逆運(yùn)算的快速算法，并對hankerson等人提出的多項(xiàng)式基下的乘法運(yùn)算的快速算法作了改進(jìn)，而且在實(shí)驗(yàn)的基礎(chǔ)上不僅分析研究了f _ 2m域中元素在多項(xiàng)式基和最優(yōu)正規(guī)基表示下的乘法和乘法逆運(yùn)算的性能，還對這兩種基表示下的f _ 2m域中元素運(yùn)算效率的優(yōu)劣作了比較和研究，所得的結(jié)論可供在實(shí)現(xiàn)橢圓曲線密碼體制時(shí)參考；第五，研究了目前流行的計(jì)算橢圓曲線標(biāo)量乘法的快速算法，同時(shí)改進(jìn)了固定基點(diǎn)梳形法，提高了整個(gè)系統(tǒng)的速度，并在實(shí)驗(yàn)的基礎(chǔ)上分析研究了流行算法的優(yōu)劣；第六，實(shí)現(xiàn)了基于f _ 2m的橢圓曲線密碼體制的算法庫，在我們的算法庫中只需稍微改變便能實(shí)現(xiàn)基于任意尺寸的f _ 2m上的ecdh ， eces ， ecdsa等橢圓曲線密碼體制；第七，實(shí)現(xiàn)了兩條安全橢圓曲線上的橢圓曲線密碼體制，包括ecdh ， eces ， ecdsa 。
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