1994 | OriginalPaper | Chapter
Directed Acyclic Graphs, One-way Functions and Digital Signatures
Extended Abstract
Authors : Daniel Bleichenbacher, Ueli M. Maurer
Published in: Advances in Cryptology — CRYPTO ’94
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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The goals of this paper are to formalize and investigate the general concept of a digital signature scheme based on a general one-way function without trapdoor for signing a predetermined number of messages. It generalizes and unifies previous work of Lamport, Winternitz, Merkle, Even et al. and Vaudenay. The structure of the computation yielding a public key from a secret key corresponds to a directed acyclic graph $$ \mathcal{G} $$. A signature scheme for $$ \mathcal{G} $$ can be defined as an antichain in the poset of minimal verifyable sets of vertices of $$ \mathcal{G} $$ with the naturally defined computability relation as the order relation and where a set is verifyable if and only if the public key can be computed from the set.