| Paper ID | D4-S2-T4.1 | 
  
    | Paper Title | 
     Secret Key Agreement and Secure Omniscience of Tree-PIN Source with Linear Wiretapper | 
  
	| Authors | 
    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 | 
  
    | Session | 
    D4-S2-T4: Key Generation & Agreement II | 
  
  
    | Chaired Session: | 
    Thursday, 15 July, 22:20 - 22:40 | 
  
  
    | Engagement Session: | 
    Thursday, 15 July, 22:40 - 23:00 | 
  
  
    | Abstract | 
    
      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.
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