comb point 中文意思是什麼
comb point
解釋
冠尖-
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 。 -
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。
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