New Constructions of Asymptotically Optimal Codebooks With Multiplicative Characters

Ziling Heng; Cunsheng Ding; Qin Yue

首页> 外文期刊>IEEE Transactions on Information Theory >New Constructions of Asymptotically Optimal Codebooks With Multiplicative Characters

【24h】

New Constructions of Asymptotically Optimal Codebooks With Multiplicative Characters

机译：具有乘性的渐近最优码本的新结构

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In practical applications, such as direct spread code division multiple access communications, space-time codes and compressed sensing, and codebooks with small inner-product correlation are required. It is extremely difficult to construct codebooks achieving the Levenshtein bound. In this paper, two new constructions of infinitely many codebooks with multiplicative characters of finite fields are presented. These constructions produce complex codebooks asymptotically achieving the Levenshtein bound and codebooks asymptotically achieving the Welch bound. The codebooks presented in this paper have new parameters.

机译：在实际应用中，例如直接扩展码分多址通信，时空码和压缩感测以及内积相关性小的码本是必需的。构建达到Levenshtein界限的密码本非常困难。在本文中，提出了两种新的具有有限域乘性的无穷大码本的构造。这些构造产生了渐近实现Levenshtein界的复杂码本，并渐近实现了Welch界的码本。本文介绍的密码本具有新的参数。

著录项

来源
《IEEE Transactions on Information Theory》 |2017年第10期|6179-6187|共9页
作者
Ziling Heng; Cunsheng Ding; Qin Yue;
展开▼
作者单位

Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China;

Department of Computer Scuence and Engineering, The Hong Kong University of Science and Technology, Hong Kong;

Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
Additives; Jacobian matrices; Multiaccess communication; Compressed sensing; Space-time codes; Correlation; Error probability;

机译：添加剂;雅可比矩阵;多路访问通信;压缩感测;时空码;相关性;错误概率;

相似文献

外文文献
中文文献
专利

1. Six constructions of asymptotically optimal codebooks via the character sums [J] . Lu Wei, Wu Xia, Cao Xiwang, Designs, Codes and Crytography . 2020,第6期

机译：通过字符和六个渐近最佳码本的六个结构
2. Two New Families of Asymptotically Optimal Codebooks from Characters of Cyclic Groups [J] . Yang YAN, Yao YAO, Zhi CHEN, IEICE Transactions on fundamentals of electronics, communications & computer sciences . 2021,第8期

机译：来自循环组字符的两个新系列渐近最佳码本
3. Two constructions of asymptotically optimal codebooks via the trace functions [J] . Wu Xia, Lu Wei, Cao Xiwang Cryptography and Communications . 2020,第6期

机译：通过跟踪函数的两个结构的渐近最佳码本的结构
4. Constructions of Complex Codebooks Asymptotically Meeting the Welch Bound: A Graph Theoretic Approach [C] . Shohei Satake, Yujie Gu IEEE International Symposium on Information Theory . 2020

机译：渐近满足Welch界线的复杂密码本的构造：一种图论方法
5. Imperfect stegosystems---Asymptotic laws and near-optimal practical constructions. [D] . Filler, Tomas. 2011

机译：不完善的隐身系统---渐近定律和接近最优的实际构造。
6. Asymptotically Optimal Deployment of Drones for Surveillance and Monitoring [O] . Andrey V. Savkin, Hailong Huang 2019

机译：用于监视和监视的无人机的渐近最优部署
7. Four Constructions of Asymptotically Optimal Codebooks via Additive Characters and Multiplicative Characters [O] . Xia Wu, Wei Lu 2019

机译：通过添加性字符和乘法字符的四个结构渐近最佳码本的结构
8. Construction of Asymptotically Optimal and Independent Nonparametric ExperimentalDesign Tests in the Cox Regression Model and for Distributions with a Location Parameter [R] . Terpstra, T. J. 1990

机译：Cox回归模型中渐近最优且独立的非参数实验设计测试的构造及具有位置参数的分布

New Constructions of Asymptotically Optimal Codebooks With Multiplicative Characters

摘要

著录项

相似文献

相关主题

期刊订阅