2006 | OriginalPaper | Buchkapitel
Tree-Based Key Distribution Patterns
verfasst von : Jooyoung Lee, Douglas R. Stinson
Erschienen in: Selected Areas in Cryptography
Verlag: Springer Berlin Heidelberg
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We revisit a key agreement scheme presented by Leighton and Micali [11], generalize the scheme, and present a new framework of tree-based key distribution pattern (TKDP). We presents a method of constructing TKDPs from cover-free families. We show the existence of TKDPs by probabilistic method. We can reduce the upper bounds on the minimum number of rows of (
$t,w, \mathcal{T}$
)-TKDPs, which are obtained from probabilistic methods, asymptotically by a factor of
w
as compared to Leighton and Micali’s schemes by choosing optimal trees
$\mathcal{T}$
instead of chains.