|| Secret Key Agreement and Secure Omniscience of Tree-PIN Source with Linear Wiretapper
||Praneeth Kumar Vippathalla, Indian Institute of Science, India; Chung Chan, City University of Hong Kong, Hong Kong SAR of China; Navin Kashyap, Indian Institute of Science, India; Qiaoqiao Zhou, The Chinese University of Hong Kong, Hong Kong SAR of China|
||D4-S2-T4: Key Generation & Agreement II
||Thursday, 15 July, 22:20 - 22:40
||Thursday, 15 July, 22:40 - 23:00
In this paper, we obtain a single-letter characterization of the wiretap secret key capacity for a large class of multiterminal source models (namely, tree-PIN models) with a linear wiretapper that can observe arbitrary linear combinations of the source. For this class of sources, we also show a duality between the problems of wiretap secret key agreement and secure omniscience, which suggests that such duality potentially holds for more general sources.