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Ber use the algebraic integer ring of quadratic cyclotomic field to construct block codes for coding two dimensional signals which are able to correct some error patterns.

uber利用二次分圆域的代数整数环构作了面向二维信号且具有代数译码算法的纠错码。

Let K be the 3 cyclotomic field, Esubscript D(superscript λ: y^2=x^3-2^4 3^3 D(superscript λ) be an elliptic curve defined over K, where D∈K is a square-free algebraic integer and λ∈Z.

设K为三次分圆域,E下标 D(上标λ:y^2=x^3-2^4 3^3 D为定义在K上的椭圆曲线,其中D为K中无平方因子的代数整数,λ∈Z。

By decomposing the cyclotomic polynomial over a finite field, wegive the distribution of linear complexity for periodic sequences over the field, with some special cases discussed.

肖国镇 ,许春香,魏仕民通过对有限域上分圆多项式的分解,给出周期序列的线性复杂度的分布,并就几种特殊情况进行了讨论。

We introduce some concepts and properties of cyclotomic polynomial and the Dedekind zeta function and so on.

介绍了分圆多项式、戴德金zeta函数等的一些有关定义及性质。

The algorithm is practicable and efficient in finding approximate roots of a cyclotomic polynomial, and gives a new method to judge a polynomial that can pitch cirle.

该算法在求分圆多项式的近似根方面是可行的,并取得比较好的效果,为判定一个多项式是否分圆提供了一种新方法。

Almost difference set; cyclotomic class; Hall polynomial

几乎差集;分圆类; Hall多项式

Almost defference sets have strong relationship with binary sequences with optimal 3-level autocorrelation, which are of significant applied bachground. We constructed 2 new infinite families of almost difference sets by using cyclotomy; Perfect binary sequences and perfect binary sequences pairs are of significant theoretical value and applied background, they correspond to cycle Hadamard matrices and difference sets pairs respectively.

几乎差集与具有最优3级自相关二元序列密切相关,具有强烈的应用背景,我们借助分圆方法构造了几乎差集的两个新的无穷类;最佳二进序列和最佳二进序列偶有着重要的理论价值和应用背景,它们分别对应着循环Hadamard矩阵和差集偶。

This principle is illustrated in Fig. 5, where the shaded region represents the region of increased margin for the data symbol in the first quadrant.

这一项原则在图 5 中被举例,阴暗的区域表现区域哪里增加边缘为数据符号在那第一个四分圆

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。

Gucheng Longfeng cyclotomic Gong surface and two kinds of flat bar, round be thin and long, the middle hole, referred to as the "long xu mian "; be flat and straight flat, thin as paper, referred to as the "Fissidens face."

故城龙凤贡面分圆条和扁条形两种,圆条细而长,中间有孔,称&龙须面&;扁条平而直,薄如纸,称&凤尾面&。

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