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Erschienen in:
2007 | OriginalPaper | Buchkapitel
Non-interactive Proofs for Integer Multiplication
verfasst von : Ivan Damgård, Rune Thorbek
Erschienen in: Advances in Cryptology - EUROCRYPT 2007
Verlag: Springer Berlin Heidelberg
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We present two universally composable and practical protocols by which a dealer can, verifiably and non-interactively, secret-share an integer among a set of players. Moreover, at small extra cost and using a distributed verifier proof, it can be shown in zero-knowledge that three shared integers
a
,
b
,
c
satisfy
ab
=
c
. This implies by known reductions non-interactive zero-knowledge proofs that a shared integer is in a given interval, or that one secret integer is larger than another. Such primitives are useful, e.g., for supplying inputs to a multiparty computation protocol, such as an auction or an election. The protocols use various set-up assumptions, but do not require the random oracle model.