A combinatorial approach to anonymous membership broadcast

Wang, Huaxiong & Pieprzyk, Josef (2002) A combinatorial approach to anonymous membership broadcast. Lecture Notes in Computer Science : Computing and Combinatorics, 2387, pp. 162-170.

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A set system (X, F ) with X= {x 1,...,x m}) and F = {B1...,B n }, where B i ⊆ X, is called an (n, m) cover-free set system (or CF set system) if for any 1 ≤ i, j, k ≤ n and j ≠ k, |B i >2 |B j ∩ B k | +1. In this paper, we show that CF set systems can be used to construct anonymous membership broadcast schemes (or AMB schemes), allowing a center to broadcast a secret identity among a set of users in a such way that the users can verify whether or not the broadcast message contains their valid identity. Our goal is to construct (n, m) CF set systems in which for given m the value n is as large as possible. We give two constructions for CF set systems, the first one from error-correcting codes and the other from combinatorial designs. We link CF set systems to the concept of cover-free family studied by Erdös et al in early 80’s to derive bounds on parameters of CF set systems. We also discuss some possible extensions of the current work, motivated by different application.

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ID Code: 73326
Item Type: Journal Article
Refereed: Yes
Additional Information: ISBN: 978-3-540-43996-7
DOI: 10.1007/3-540-45655-4_19
ISSN: 0302-9743
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 03 Jul 2014 01:54
Last Modified: 03 Jul 2014 01:54

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