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In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介紹了計算有限域上橢圓曲線群的階的Schoof-Elkies-Atkin算法亚洲中文字幕精品久久HD，在具體處理算法過程中黑人猛交video，我們給出了計算除多項式f〓的快速算法和尋找2〓階本原點的快速算法欧美91影院；標量乘法是有關(guān)橢圓曲線算法中的最基本運算亚洲美女A视频，本文對[Koe96]中的橢圓曲線標量乘法作了改進，提高了其運算速度黄色视频页面入口；橢圓曲線的參數(shù)的選擇直接影向到橢圓曲線密碼體的安全性蜜臀免费AV，文中利用復(fù)乘方法構(gòu)造了具有良好密碼特性的橢圓曲線，并實現(xiàn)了橢圓曲線上ElGamal公鑰體制日本h视频；文中還給出了利用Goldwasser-Kilian定理和橢圓曲線的復(fù)乘方法進行素數(shù)的確定判別算法变态欧美亚洲日韩女优电影在线观看；最后討論了利用橢圓曲線分解整數(shù)的方法并進行了某些改進视色4色视频，在PC機上分解了兩個28位素數(shù)之積的55位整數(shù)。

Sources for musicologists include from 1715, the court calenders of varying detail including such diverse information as every anniversary imaginable ie birthdays and namedays of the Imperial family, the days of the saints, long range weather forecasts and the phases of the moon. 15 Also the official court newspaper, the Wienerishces Diarium, produced for the educated classes, included details of special guests, the music performed as well as the composer and librettist for each celebration reported (with the exception of church festivals). 16 Kilian Reinhardt's Rubriche Generali dated 1727 provides us with an indispensable guide to the musical requirements of the events of the annual cycle. 17 The Rubriche was divided into two parts: the liturgical feasts and the court feasts ( Hof-Feste ).

為音樂學家的來源包括從1715年久久久无码精品亚洲日韩一区二区，不同的細節(jié)corm超碰在线，其中包括如想象，即每周年生日和皇室namedays不同的信息色免费网站，該圣人永久免费观看的毛片app，遠程天氣預(yù)報和月亮的階段天。15也是法院壓延法庭正式報紙欧洲无码一区二区，Wienerishces Diarium日韩在线播放www，為教育類產(chǎn)品，包括特別來賓的細節(jié)国产激情毛片，音樂表現(xiàn)不錯的作曲家和每個慶祝編劇的報告国产毛片盗摄视频。16克利安萊因哈特的Rubriche拉利1727年提供了一個不可缺少的指南對年度周期事件的要求，我們的音樂亚洲一级A片A毛。17的 Rubriche 分為兩部分：禮儀節(jié)日（Festtage報Heiligen）和法院節(jié)日。

Kimball：象皇族一樣勇敢 男性 盎格魯撒克遜

Kilian 盲人 男性 拉丁語 | Killian 戰(zhàn)斗;頭腦靈活;僧舍 男性 蓋爾語 | Kimball 象皇族一樣勇敢 男性 盎格魯撒克遜