...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Information Theory, IEEE Transactions on >On the Distinctness of Binary Sequences Derived From Primitive Sequences Modulo Square-Free Odd Integers
【24h】

On the Distinctness of Binary Sequences Derived From Primitive Sequences Modulo Square-Free Odd Integers

机译：关于原始序列取模无平方平方奇数的二进制序列的区别性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Let $M$ be a square-free odd integer and ${bf Z}/(M)$ the integer residue ring modulo $M$ . This paper studies the distinctness of primitive sequences over ${bf Z}/(M)$ modulo 2. Recently, for the case of $M=pq$ , a product of two distinct prime numbers $p$ and $q$ , the problem has been almost completely solved. As for the case that $M$ is a product of more prime numbers, the problem has been quite resistant to proof. In this paper, a partial proof is given by showing that a class of primitive sequences of order $2n^{prime}+1$ over ${bf Z}/(M)$ is distinct modulo 2, where $n^{prime}$ is a positive integer. Besides as an independent interest, this paper also involves two distribution properties of primitive sequences over ${bf Z}/(M)$, which are related closely to our main results.
机译：假设$ M $是无平方的奇数整数，$ {bf Z} /（M）$是整数残基环，以$ M $为模。本文研究模2上$ {bf Z} /（M）$上原始序列的区别性。最近，对于$ M = pq $，这是两个不同质数$ p $和$ q $的乘积，问题已基本解决。至于$ M $是更多质数的乘积的情况，这个问题已经很难证明。在本文中，通过证明阶数为$ 2n ^ {prime} + 1 $超过$ {bf Z} /（M）$的一类原始序列的模2是不同的，其中$ n ^ {prime } $是一个正整数。除了作为一个独立的兴趣，本文还涉及$ {bf Z} /（M）$上的原始序列的两个分布特性，这与我们的主要结果密切相关。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号