2024/07/30 by Hassan ZivariFard, Rémi A. Chou, ZivariFard, Hassan +1 · 1 citation
Computer Science · Engineering · #Chaos-based Image/Signal Encryption #Cryptography and Data Security #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques
paper · pdf · doi:10.48550/arxiv.2407.20901
openalex publication_date 2024/07/30 · openalex created_date 2024/08/01 · openalex updated_date 2026/07/28
Consider a source and multiple users who observe the independent and identically distributed (i.i.d.) copies of correlated Gaussian random variables. The source wishes to compress its observations and store the result in a public database such that (i) authorized sets of users are able to reconstruct the source with a certain distortion level, and (ii) information leakage to non-authorized sets of colluding users is minimized. In other words, the recovery of the source is restricted to a predefined access structure. The main result of this paper is a closed-form characterization of the fundamental trade-off between the source coding rate and the information leakage rate. As an example, threshold access structures are studied, i.e., the case where any set of at least t users is able to reconstruct the source with some predefined distortion level and the information leakage at any set of users with a size smaller than t is minimized.