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 $\ell$-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 securitybilinear pairing of Type 3random-oracle modelbilinear DH inversion problemblindness
- 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}
}
