Paper 2009/499 Original: eprint.iacr.org/2009/499 ↗

Underlying Assumptions and Designated Verifier Signatures

Chifumi Sato
Takeshi Okamoto
Eiji Okamoto
Abstract

In this paper, we define an underlying computational problem and its decisional problem. As an application of their problems, we propose an efficient designated verifier signature (DVS) scheme without random oracles (related to symmetric pairings). We formally redefine the (Strong) Privacy of Signature's Identity, and prove our DVS scheme satisfying security based on the difficulty of the problems. Also we prove that the difficulty of the computational problem is tightly equivalent to the Strong Unforgeability of our proposed conventional signature scheme (without random oracles) related to asymmetric pairings. We believe that our underlying problems are profitable to propose many efficient cryptographic schemes.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2009-10-30: last updated
2009-10-14: published
Short URL
https://ia.cr/2009/499
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2009/499,
      author = {Chifumi Sato and Takeshi Okamoto and Eiji Okamoto},
      title = {Underlying Assumptions and Designated Verifier Signatures},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/499},
      year = {2009},
      url = {https://eprint.iacr.org/2009/499}
}
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