Binary Tree Based Forward Secure Signature Scheme in the Random Oracle Model

Mariusz Jurkiewicz

Paper 2020/1505

Binary Tree Based Forward Secure Signature Scheme in the Random Oracle Model

Mariusz Jurkiewicz

Abstract

In this paper we construct and consider a signature scheme with evolving secret key, where there is used Type 3 pairing. The idea is based on some properties of binary trees, with a number of leaves being the same as a number of time periods in the scheme. This lets us to gain such conditions, that allows to prove the forward-security of the considered scheme in the random oracle model. The proof is conducted by reducing the security of the scheme to the difficulty of solving a certain counterpart of the Weak -th Bilinear Diffie-Hellman Inversion problem. In addition to that, we construct an interactive signature scheme with evolving private key and justify that it is forward-secure blind scheme.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: forward security bilinear pairing of Type 3 random-oracle model bilinear DH inversion problem blindness
Contact author(s): mariusz jurkiewicz @ wat edu pl
History: 2020-12-02: received
Short URL: https://ia.cr/2020/1505
License: CC BY

BibTeX

@misc{cryptoeprint:2020/1505,
      author = {Mariusz Jurkiewicz},
      title = {Binary Tree Based Forward Secure Signature Scheme in the Random Oracle Model},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/1505},
      year = {2020},
      url = {https://eprint.iacr.org/2020/1505}
}