查询词典 cyclotomic

Almost difference set; cyclotomic class; Hall polynomial

几乎差集；分圆类； Hall多项式

Furthermore, a Maple program is designed to verify the validity of the autocorrelation.(2). Based on Whiteman\'s generalized cyclotomy, new binary generalized cyclotomic sequences of order 2~k and length pq are constructed.

构造了一类平衡的新的六次剩余序列，分别利用多项式分解理论和迹函数表示确定了该类序列的线性复杂度和极小多项式，给出了序列的自相关函数值并编制Maple程序验证该结果的正确性，讨论了序列的稳定性。

Based on the polynomial theory on a Galois field, the author presents linear complexity and minimal polynomials of all binary Whiteman generalized cyclotomic sequences with the period pq.

西北师范大学数学与信息科学学院，甘肃兰州 730070摘要：周期为pq上的2阶W-广义割圆序列的线性复杂度和极小多项式是丁存生于1998年给出的。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

At the same time,Archimedes gives an exact proof on the formula of area of circle,with the method of exhaustion method depending on the Cyclotomic.

刘徽之前，希腊的阿基米德用穷竭法也证明了圆的面积公式。其中，刘徽的证法强调计算的程序性和构造性，而阿基米德则倾向于演绎的严谨性。

In order to get suitable binary sequences for key streams, binary generalized cyclotomic sequences of order eight on the two-prime residue class ring were considered. By means of the polynomial theory over finite fields, minimal polynomials and linear complexity of these sequences were obtained.

为了从剩余类环上的二元广义割圆序列中寻求满足需要的密钥流序列，考虑了双素数积剩余类环Z上的一类二元广义8阶割圆序列，利用有限域理论，给出了该序列在不同情形下的极小多项式，进而得到了它的线性复杂度。

Two kinds of generalized cyclotomic sequences of order four are introduced.

构造了两类阶数为4 的W-广义割圆序列并研究了它们的自相关性质和线性复杂度。

It is maybe helpful to understand the concept of limit easily by historical survey of the LIU Hui's Cyclotomic Method.

通过这些相关知识的历史考察，试图以HPM的方法来辅助解决极限概念教学的难题。

In this paper, for a kind of generalized cyclotomic binary sequences with prime period N = 6 f+1, we computer their linear complexity. Specially, any one of the binary sequences has optimum balance among 0's and 1's.

本文中，我们构造了一类以奇素数N = 6 f+1为周期的分圆二元序列，证明了这类序列具有&好&的线性复杂度，适合于实际应用。

LIU Hui's Cyclotomic Method is one of the greatest achievements of the history of mathematics in China, even in the world, in which the special approach to understand the infinity and the method to solve it are presented.

刘徽的&割圆术&是中国数学史上的重要成就之一，其中包含着中国数学家对无限问题的独特认识和致用的处理方式。很多高等数学教科书在讲述极限概念时大都提及，但所述，并未体现刘徽本意。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。