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一类具有相关源的噪声信道的密钥容量

The Secret Key Capacity of a Class of Noisy Channels with Correlated Sources.

作者信息

Bassi Germán, Piantanida Pablo, Shamai Shitz Shlomo

机构信息

School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden.

CentraleSupélec-French National Center for Scientific Research (CNRS)-Université Paris-Sud, 3 Rue Joliot-Curie, F-91192 Gif-sur-Yvette, France.

出版信息

Entropy (Basel). 2019 Jul 26;21(8):732. doi: 10.3390/e21080732.

DOI:10.3390/e21080732
PMID:33267446
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7515261/
Abstract

This paper investigates the problem of secret key generation over a wiretap channel when the terminals observe correlated sources. These sources are independent of the main channel and the users overhear them before the transmission takes place. A novel outer bound is proposed and, employing a previously reported inner bound, the secret key capacity is derived under certain less-noisy conditions on the channel or source components. This result improves upon the existing literature where the more stringent condition of degradedness is required. Furthermore, numerical evaluation of the achievable scheme and previously reported results for a binary model are presented; a comparison of the numerical bounds provides insights on the benefit of the chosen scheme.

摘要

本文研究了在窃听信道上,当终端观测到相关源时的密钥生成问题。这些源独立于主信道,并且用户在传输发生之前能够窃听到它们。提出了一种新颖的外界限,并利用先前报道的内界限,在信道或源组件的某些噪声较小的条件下推导出了密钥容量。该结果改进了现有文献中需要更严格的降级条件的情况。此外,还给出了针对二元模型的可实现方案的数值评估以及先前报道的结果;数值界限的比较为所选方案的优势提供了见解。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c8e8/7515261/90efa15bb655/entropy-21-00732-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c8e8/7515261/ab0e41db669a/entropy-21-00732-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c8e8/7515261/53aebaca95a6/entropy-21-00732-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c8e8/7515261/90efa15bb655/entropy-21-00732-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c8e8/7515261/ab0e41db669a/entropy-21-00732-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c8e8/7515261/53aebaca95a6/entropy-21-00732-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c8e8/7515261/90efa15bb655/entropy-21-00732-g003.jpg

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