Optimal and Asymptotically Optimal Codebooks as Regards the Levenshtein Bounds

Wang H.-L.; Fan L.-L.; Wang G.; Shen L.-Z.

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Optimal and Asymptotically Optimal Codebooks as Regards the Levenshtein Bounds

机译：关于Levenshtein界的最佳和渐近最佳的码本

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摘要

In the letter, two classes of optimal codebooks and asymptotically optimal codebooks in regard to the Levenshtein bound are presented, which are based on mutually unbiased bases (MUB) and approximately mutually unbiased bases (AMUB), respectively.

机译：在该信中，提出了两种最佳码本和渐近最佳码本的Levenshtein结合，其基于相互非偏析的碱（Mub）和大致相互不偏不偏的碱（Amub）。

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来源
《IEICE Transactions on fundamentals of electronics, communications & computer sciences》 |2021年第7期|979-983|共5页
作者
Wang H.-L.; Fan L.-L.; Wang G.; Shen L.-Z.;
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作者单位

Department of Mathematics and Information Sciences Tangshan Normal University;

Department of Mathematics and Information Sciences Tangshan Normal University;

School of Mathematical Sciences Tianjin Normal University;

School of Sciences Civil Aviation University of China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
(asymptotic) optimality; AMUB; Codebooks; Levenshtein bounds; Maximal cross-correlation amplitude; MUB;

机译：（渐近）最优性;Amub;码本;Levenshtein界限;最大互相关幅度;MUB;

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1. Optimal codebooks achieving the Levenshtein bound from generalized bent functions over Z(4) [J] . Heng Ziling, Yue Qin Cryptography and Communications . 2017,第1期

机译：从Z（4）上的广义弯曲函数实现Levenshtein界的最优码本
2. Optimal Codebooks From Binary Codes Meeting the Levenshtein Bound [J] . Xiang Can, Ding Cunsheng, Mesnager Sihem Information Theory, IEEE Transactions on . 2015,第12期

机译：满足Levenshtein界限的二进制代码中的最佳代码本
3. Two constructions of asymptotically optimal codebooks according to the welch bound [J] . Gao You, Niu Min-Yao Applied mathematics and computation . 2019,第期

机译：根据Welch绑定的两个结构渐近最佳码本的结构
4. An outer bound on the storage-bandwidth tradeoff of exact-repair regenerating codes and its asymptotic optimality in high rates [C] . Hyuk Lee, Jungwoo Lee IEEE Information Theory Workshop . 2016

机译：精确修复再生码的存储带宽权衡及其在高速率下的渐近最优性
5. Asymptotic universal optimality in wireless multi-antenna delay-limited communications and wireless networks. [D] . Elia, Petros. 2006

机译：无线多天线延迟受限通信和无线网络中的渐近全局最优性。
6. On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces [O] . Manuel De la Sen, Mujahid Abbas, Naeem Saleem -1

机译：关于非Archimedean模糊度量空间中保近邻Ψ（σα）-下界渐近收缩映射的模糊阶的最优模糊最佳接近重合点
7. Six constructions of asymptotically optimal codebooks via the character sums [O] . Wei Lu, Xia Wu, Xiwang Cao, 2020

机译：通过字符和六个渐近最佳码本的六个结构

Optimal and Asymptotically Optimal Codebooks as Regards the Levenshtein Bounds

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