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 。
Synthesis of a new type of zwitterionic - comb - like polyacrylamide
新型結構兩性
梳形聚丙烯酰胺的合成
Comb lightning arrester
梳形避雷器
Comb type circuit
梳形電路
Mobile waste containers - containers with 2 wheels with a capacity up to 400 l for comb lifting devices, dimensions and design
移動式廢品箱.
梳形提升裝置用容積為400升及以下的兩輪廢品箱.尺寸和設計
Mobile waste containers - part 1 : containers with 2 wheels with a capacity up to 400 l for comb lifting devices - dimensions and design
移動式廢料箱.第1部分:
梳形提升裝置用容積為400l及以下的兩輪箱.尺寸和設計
Mobile waste containers - containers with 4 wheels with capacity up to 1 300 l with flat lid, for trunnion and or comb lifting devices - dimensions and design
移動式廢品箱.耳軸式和或
梳形提升裝置用容積為1300升及以下的帶平蓋的4輪廢品箱.尺寸和設計
Mobile waste containers - containers with 4 wheels with capacity up to 1 300 l with dome lid, for trunnion and or comb lifting devices - dimensions and design
移動式廢品箱.耳軸式和或
梳形提升裝置用容積為1300升及以下的帶圓頂蓋的4輪廢品箱.尺寸和設計
Mobile waste containers - part 2 : containers with 4 wheels with a capacity up to 1300 l with flat lid, for trunnion and or comb lifting devices - dimensions and design
移動式廢料箱.第2部分:耳軸式和或
梳形提升裝置用容積為1300l及以下帶平頂蓋的四輪箱.尺寸和設計
Mobile waste containers - part 3 : containers with 4 wheels with a capacity up to 1300 l with dome lid, for trunnion and or comb lifting devices - dimensions and design
移動式廢料箱.第3部分:耳軸式和或
梳形提升裝置用容積為1300l及以下帶圓頂蓋的四輪箱.尺寸和設計
Mobile waste containers - containers with 4 wheels with capacity up to 1 700 l with flat lid, for wide trunnion or bg - and or wide comb lifting devices - dimensions and design
移動式廢品箱.寬耳軸式或bg和或寬
梳形提升裝置用容積為1700升及以下的帶平蓋的4輪廢品箱.尺寸和設計
The radial, circumferential and axial distributions of static pressure amplitude under post - stall conditions are measured and compared. the experimental results have proved the feasibility of using one - dimensional model to analyze the post - stall behavior and recoverability of compression systems. at the same time, the results of experiment have provided the first - hand data for analyzing and calculating vibrating response of blades under post - stall conditions
以單級軸流壓氣機實驗器為對象,研製了兩種型式的靜壓動態探針?梳形針和圓盤針,詳細測量了過失速狀態下流道中壓力沿徑向、周向和軸向分佈,驗證了用一維模型分析壓氣機過失速性能和失速可恢復性的可信度,同時為過失速狀態下葉片的振動響應分析計算提供了第一手實驗數據。