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Generic double-authentication preventing signatures and a post-quantum instantiation. (English) Zbl 1443.94090
Baek, Joonsang (ed.) et al., Provable security. 12th international conference, ProvSec 2018, Jeju, South Korea, October 25–28, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11192, 258-276 (2018).
Summary: Double-authentication preventing signatures (DAPS) are a variant of digital signatures which have received considerable attention recently [D. Derler et al., Short double- and $$n$$-times-authentication-preventing signatures from ECDSA and more. In: EuroS&P, IEEE, 273–287 (2018); B. Poettering, Africacrypt 2018, Lect. Notes Comput. Sci. 10831, 344–361 (2018; Zbl 1423.94132)]. They are unforgeable signatures in the usual sense and sign messages that are composed of an address and a payload. Their distinguishing feature is the property that signatures on two different payloads with respect to the same address allow to publicly extract the secret signing key. Thus, they are a means to disincentivize double-signing and are a useful tool in various applications.
DAPS are known in the factoring, the discrete logarithm and the lattice setting. The majority of the constructions are ad-hoc. Only recently, Derler et al. (EuroS&P 2018) presented the first generic construction that allows to extend any discrete logarithm based secure signature scheme to DAPS. However, their scheme has the drawback that the number of potential addresses (the address space) used for signing is polynomially bounded (and in fact small) as the size of secret and public keys of the resulting DAPS are linear in the address space. In this paper we overcome this limitation and present a generic construction of DAPS with constant size keys and signatures. Our techniques are not tailored to a specific algebraic setting and in particular allow us to construct the first DAPS without structured hardness assumptions, i.e., from symmetric key primitives, yielding a candidate for post-quantum secure DAPS.
For the entire collection see [Zbl 1398.94007].
##### MSC:
 94A62 Authentication, digital signatures and secret sharing
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