Alin Ionut Golumbeanu, Oana Adriana Ticleanu
Abstract:
Starting with the presented concept by Chaum and van Heijst and
its refers to digitally signing for a document by a group member,
such signatures allows the signers to remains anonymous but any
verifier can confirm that the signer is a group member.
The signatory anonymity can be revealed only by a designated group
authority that has some auxiliary information. We present a complexity
efficient group signature scheme based on zero knowledge and
Schnorr signature algorithm. The scheme has two phases:
the first one demonstrates that the signer is a member of the group
while the second generates the message signature. In the end,
we modify the classic scheme using differential elliptic curve
cryptography to increase the system's performance against
differential attacks.
Submitted July 6, 2017. Published September 29, 2017.
Math Subject Classifications: 35H20, 35S15, 12H20, 11G07.
Key Words: Group signature; zero knowledge; discrete logarithm;
Schnorr signature
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Alin Ionut Golumbeanu University of Craiova Department of Mathematics Street: A. I. Cuza 13 200585 Craiova, Romania email: alin.golumbeanu@inf.ucv.ro | |
Oana Adriana Ticleanu University of Craiova Department of Informatics Street: A.I. Cuza 13 200585 Craiova, Romania email: oana.ticleanu@inf.ucv.ro |
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