Paper 2019/212 Original: eprint.iacr.org/2019/212 ↗

A New Variant of the Winternitz One Time Signature Scheme Based on Graded Encoding Schemes

Hossein Oraei
Massoud Hadian Dehkordi
Abstract

The Winternitz one-time signature (WOTS) scheme, which can be described using a certain number of so-called ``function chains", plays an important role in the design of both stateless and stateful many-time signature schemes. This work introduces WOTS^GES, a new WOTS type signature scheme in which the need for computing all of the intermediate values of the chains is eliminated. This significantly reduces the number of required operations needed to calculate the algorithms of WOTS^GES. To achieve this results, we have used the concept of ``leveled" multilinear maps which is also referred to as graded encoding schemes. In the context of provable security, we reduce the hardness of graded discrete-logarithm (GDL) problem to the EU-CMA security of WOTS^GES in the standard model.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2019-02-27: last updated
2019-02-27: published
Short URL
https://ia.cr/2019/212
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/212,
      author = {Hossein Oraei and Massoud Hadian Dehkordi},
      title = {A New Variant of the Winternitz One Time Signature Scheme Based on Graded Encoding Schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/212},
      year = {2019},
      url = {https://eprint.iacr.org/2019/212}
}
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