查询词典 cyclotomic

First, considering the construction characteristic of Reed-Solomon code, we present a kind of new construction method for linear codes by using the factorization properties of cyclotomic polynomials on finite fields.

在纠错码的设计与分析方面：首先，结合Reed-Solomon码的构造特点，利用有限域F_q上分圆多项式的分解特性来构造F_q上线性码。

In this paper, I first give two methods with which we can determine all the power integral bases in maximal real subfields of cyclotomic fields. Then I determine all the power integral bases for ?

本文首先给出了确定分圆域的极大实子域的幂元整基的两种方法；然后利用这两种方法找出了Qζ_m+ζ_m~(-1(m=5，7，8，9，12，16，20，24)的所有幂元整基。

Read a paper about cyclotomic polynomials and prime numbers by Yves Gallot.

阅读由Yves Gallot撰写的关于分圆多项式和素数的文章。

LIU Hui's Cyclotomic Method is one of the greatest achievements in 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.

有的著作认为在极限公式limx→0sinxx=1的证明中，要用到圆的面积公式S=21Lr，而对后者的证明中必须要用到重要极限limx→0sinxx=1，从而犯了循环论证的错误。魏晋刘徽的&割圆术&是对无限问题的独特认识和致用的处理方式，是为证明圆面积公式而设计出来的一种方法。

M+ζ_m~-1(m = 5, 7, 8, 9, 12, 16, 20, 24) These results may be helpful to the research of the power integral bases in maximal real subfields of any cyclotomic fields.

所得到的结果对于任意分圆域的极大实子域的幂元整基的探讨很有帮助。

The linear complexity and minimal polynomials of new generalized cyclotomic se-quences of order two are determined. A scheme for hardware implementation isgiven.

在所有的此类序列中，线性复杂度最小值为(n -1)/2，可以达到最大值n，其中n 为奇数表示序列的周期。

At last, By using the factorization properties of cyclotomic polynmials on finite fields and the construction characteristic of cyclic codes, we present the relation of the period distribution of cyclic codes and the period distribution of their dual codes, establish the explicit formula for the number of the codewords without inner-period of the cyclic codes and their dual codes, find the method for computing the dimension and the period distribution of narrow-sense primitive BCH codes,and study the inverse question of period distribution of cyclic codes.

最后，利用有限域上分圆多项式的分解特性和循环码的构造特点，揭示了循环码的周期分布与其对偶码周期分布之间的内在联系，确定了一般循环码及其对偶码内无内周期码字的精确计数公式，决定了狭义本原BCH码的维数与周期分布，讨论了循环码周期分布的反问题。

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&。

After this, the values of m-th Gauss sums have been determined for small m(= 3,4,···, 12) by using arithmetic properties of cyclotomic fields Q- Recently the formulas of Gauss sums are determined in "self-conjugate" and "index 2" cases in which the Gauss sums belongs to the rational number field and certain imaginary quadratic field respectively.

继高斯之后，人们用代数数论对于m较小情形计算出m次高斯和。近年来，人们对于&自共轭&情形和&指数2&情形算出高斯和。对于这两种情形，高斯和的值分别属于有理数域和虚二次域。

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。