查询词典 Kilian

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.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

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 ).

为音乐学家的来源包括从1715年，不同的细节，其中包括如想象，即每周年生日和皇室namedays不同的信息，该圣人，远程天气预报和月亮的阶段天。15也是法院压延法庭正式报纸，Wienerishces Diarium，为教育类产品，包括特别来宾的细节，音乐表现不错的作曲家和每个庆祝编剧的报告。16克利安莱因哈特的Rubriche拉利1727年提供了一个不可缺少的指南对年度周期事件的要求，我们的音乐。17的 Rubriche 分为两部分：礼仪节日（Festtage报Heiligen）和法院节日。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。