exponentiation algorithm 中文意思是什麼
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The key of rsa is the modular exponentiation multiplication of large number, in this thesis, we modify the montgomery algorithm which be used to implement rsa
Rsa演算法的核心是大數模冪乘運算，本文選用montgomery模冪乘演算法來實現ras演算法，對montgomery模乘演算法的fpga實現進行了改進。 -
The main place of innovation of this paper is to grasp the advantage of different algorithms, from different angles and levels improve modular exponentiation algorithm and scalar multiplication algorithm, and achieve new algorithm which can provide reference to the implementation of rsa and ecc, meantime the new algorithm have greater practical value
本文的創新點在於綜合各種演算法在不同方面的優勢，從不同角度和不同層次去改進模冪演算法和標量乘演算法，得到的新演算法可供在實現rsa和橢圓曲線密碼體制時參考，具有較大的實用價值。 -
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 special feature of this paper is that it provides fast implementation means for the all kinds of modular exponentiation algorithms, which facilitate the implementation of the rsa public key algorithms. the paper improved the sliding window algorithm by largely reducing the space complexity. meanwhile this paper represents an efficient combined algorithm to improve the processing of encryption and decryption
大數模冪乘運算是實現rsa等公鑰密碼的基本運算，其運行效率決定了rsa公鑰密碼的性能，文章主要研究了各種模冪演算法的快速實現方法，提出運用組合演算法的思想來減少演算法運行時間;並對滑動窗口取冪演算法進行了部分改進，用線性表來存儲預計算數據，從而減少了演算法的復雜度，進一步提高了rsa加/解密的效率，並在試驗測試中得到較為滿意的結果。 -
This article provides a brief description of rsa public key cryptography, an analysis and compare of all kinds of present existed modular exponentiation in rsa public key cryptography, a colligation of the fastest accelerating software algorithm - vlnw sliding window methods and hardware mapping fast montgomery modular multiplication algorithm that can improve the implementary efficiency of rsa public key cryptography for achieving the novel algorithm - mnexp algorithm
本文簡單介紹了rsa公鑰密碼體制，分析比較rsa公鑰密碼中已有的模冪運算方法，將得到的最快軟體加速演算法vlnw滑動窗口法和硬體映射最快的montgomery模乘演算法綜合，得到改進后的mnexp演算法能有效提高rsa公鑰密碼的實現效率。橢圓曲線密碼系統被認為可以替代rsa演算法的一種公鑰密碼體制。
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