A Framework of Distributed Source Encryption using Mutual Information Security Criterion and the Strong Converse Theorem
Abstract
We reinvestigate the general distributed secure source coding based on the common key cryptosystem proposed by Oohama and Santoso (ITW 2021). They proposed a framework of distributed source encryption and derived the necessary and sufficient conditions to have reliable and secure transmission. However, the bounds of the rate region, which specifies both necessary and sufficient conditions to have reliable and secure transmission under the proposed cryptosystem, were derived based on a self-tailored non-standard} security criterion. In this paper we adopt the standard security criterion, i.e., standard mutual information. We successfully establish the bounds of the rate region based on this security criterion. Information spectrum method and a variant of Birkhoff-von Neumann theorem play an important role in deriving the result.
Cite
@article{arxiv.2507.13294,
title = {A Framework of Distributed Source Encryption using Mutual Information Security Criterion and the Strong Converse Theorem},
author = {Yasutada Oohama and Bagus Santoso},
journal= {arXiv preprint arXiv:2507.13294},
year = {2026}
}
Comments
29 pages, 7 figures. This is an extended version of the paper submitted for presentation in ISIT 2026, which will be held at Guangzhou, China form June. 28 to July 3 in 2026. The submitted paper has some errors in the description in Proposition 1. We correct those errors in this arXiv paper