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Erschienen in:
2008 | OriginalPaper | Buchkapitel
A New Efficient Threshold Ring Signature Scheme Based on Coding Theory
verfasst von : Carlos Aguilar Melchor, Pierre-Louis Cayrel, Philippe Gaborit
Erschienen in: Post-Quantum Cryptography
Verlag: Springer Berlin Heidelberg
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Ring signatures were introduced by Rivest, Shamir and Tauman in 2001. Bresson, Stern and Szydlo extended the ring signature concept to
t
-out-of-
N
threshold ring signatures in 2002. We present in this paper a
generalization
of Stern’s code based authentication (and signature) scheme to the case of
t
-out-of-
N
threshold ring signature. The size of our signature is in
$\mathcal{O}(N)$
and does not depend on
t
. Our protocol is anonymous and secure in the random oracle model, it has a very short public key and has a complexity in
$\mathcal{O}(N)$
. This protocol is the first efficient code-based ring signature scheme and the first code-based threshold ring signature scheme. Moreover it has a better complexity than number-theory based schemes which have a complexity in
$\mathcal{O}(Nt)$
.