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Digital Signatures

Definition

Digital signature security is defined as an interaction between a signer \({\mathcal{S}}_{\mathit{sk}}\), a verifier \({\mathcal{V}}_{\mathit{pk}}\), and an attacker \(\mathcal{A}\). \(\mathcal{A}\) submits adaptively to \({\mathcal{S}}_{\mathit{sk}}\) a sequence of messages \({m}_{1},\ldots, {m}_{q}\) to which \({\mathcal{S}}_{\mathit{sk}}\) replies with the signatures \(U =\{ {\sigma }_{1},\ldots, {\sigma }_{q}\}\). Given U, \(\mathcal{A}\) attempts to produce a forgery, defined as a pair \((m',\sigma ')\) such that \({\mathcal{V}}_{\mathit{pk}}(m',\sigma ')\)=true and \(\sigma '\not\in U\). The traditional approach consists in hardening \({\mathcal{S}}_{\mathit{sk}}\) against a large query bound q. Rather than hardening \(\mathcal{S}_{sk}\), autotomic signatures weaken \(\mathcal{A}\) by preventing him from influencing \({\mathcal{S}}_{\mathit{sk}}\)’s input: upon receiving m i , \({\mathcal{S}}_{\mathit{sk}}\)will generate a fresh...

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© 2011 Springer Science+Business Media, LLC

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Naccache, D. (2011). Autotomic Signatures. In: van Tilborg, H.C.A., Jajodia, S. (eds) Encyclopedia of Cryptography and Security. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-5906-5_888

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