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research article

Short Undeniable Signatures Based on Group Homomorphisms

Monnerat, Jean  
•
Vaudenay, Serge  
2011
Journal of Cryptology

This paper is devoted to the design and analysis of short undeniable signatures based on a random oracle. Exploiting their online property, we can achieve signatures with a fully scalable size depending on the security level. To this end, we develop a general framework based on the interpolation of group homomorphisms, leading to the design of a generic undeniable signature scheme called MOVA with batch verification and featuring non-transferability. By selecting group homomorphisms with a small group range, we obtain very short signatures. We also minimize the number of moves of the verification protocols by proposing some variants with only 2 moves in the random oracle model. We provide a formal security analysis of MOVA and assess the security in terms of the signature length. Under reasonable assumptions and with some carefully selected parameters, the MOVA scheme makes it possible to consider signatures of about 50 bits.

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Type
research article
DOI
10.1007/s00145-010-9070-1
Web of Science ID

WOS:000289212500005

Author(s)
Monnerat, Jean  
Vaudenay, Serge  
Date Issued

2011

Publisher

Springer Verlag

Published in
Journal of Cryptology
Volume

24

Issue

3

Start page

545

End page

587

Subjects

Undeniable signatures

•

Short signatures

•

Group homomorphisms

•

Interpolation

•

Interactive proofs

•

Public-Key Cryptosystems

•

Schemes

•

Security

•

Encryption

•

Knowledge

•

Proofs

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LASEC  
Available on Infoscience
May 26, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/67868
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