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ETH Series in Information
Security and Cryptography
edited by Ueli Maurer
Volume 5
Reto Strobl
Distributed Cryptographic Protocols in
Asynchronous Networks with Universal Composability
1st
edition/ 1. Auflage 2005, 192 pages/Seiten,
€ 64,00. ISBN 3-89649-988-2
We consider a group of parties that communicate over asynchronous
point-to-point links, where the parties and the links may be attacked by an
adversary. We develop new implementations of fundamental primitives that allow to secure such systems against different attacks. The
security of all our solutions is based on computational assumptions and remains
valid even under arbitrary composition.
The primitives we consider are group key exchange, verifiable secret sharing,
and proactive verifiable secret sharing. Group key exchange allows the parties
to compute a key that remains hidden from the adversary who may observe all
network traffic. Our implementation of this primitive is the first one that
guarantees termination for all parties even if a minority crashes silently.
Verifiable secret sharing allows a designated party to share a secret amongst
all parties, such that an adversary, who controls a fraction of the parties,
can neither learn the secret, nor prevent the others from reconstructing it
correctly. We present the first practical asynchronous implementation of this
primitive.
Proactive verifiable secret sharing offers the same functionality as verifiable
secret sharing, but tolerates an adversary who may change the set of controlled
parties from time to time. We present the first asynchronous implementation of
this primitive.
Keywords: provable security, composition, cryptography, distributed protocols, group key exchange, secret sharing, proactive
security.
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