We propose GMSS, a new variant of the Merkle signature scheme. GMSS is the first Merkle-type signature scheme that allows a cryptographically unlimited (2 80 ) number of documents to be signed with one key pair. Compared to recent improvements of the Merkle signature scheme, GMSS reduces the signature size as well as the signature generation cost.
Abstract. We propose a new construction for Merkle authentication trees which does not require collision resistant hash functions; in contrast with previous constructions that attempted to avoid the dependency on collision resistance, our technique enjoys provable security assuming the well-understood notion of second-preimage resistance. The resulting signature scheme is existentially unforgeable when the underlying hash function is second-preimage resistant, yields shorter signatures, and is affected neither by birthday attacks nor by the recent progresses in collision-finding algorithms.
Koblitz curves belong to a special class of binary curves on which the scalar multiplication can be computed very efficiently. For this reason, they are suitable candidates for implementations on low-end processors. However, such devices are often vulnerable to side channel attacks. In this paper, we propose a new countermeasure against side channel attacks on Koblitz curves, which utilizes a fixed-pattern recoding to defeat simple power analysis. We show that in practical cases, the recoding can be performed from left to right, and can be easily stored or even randomly generated.
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