Paper 2024/1581

$\mathsf{Protoss}$ Protocol for Tight Optimal Symmetric Security

Emanuele Di Giandomenico, Eindhoven University of Technology
Yong Li, Huawei Technologies Düsseldorf
Sven Schäge, Eindhoven University of Technology
Abstract

We present $\mathsf{Protoss}$, a new balanced PAKE protocol with optimal communication efficiency. Messages are only 160 bits long and the computational complexity is lower than all previous approaches. Our protocol is proven secure in the random oracle model and features a security proof in a strong security model with multiple parties and multiple sessions, while allowing for generous attack queries including multiple $\mathsf{Test}$-queries. Moreover, the proof is in the practically relevant single-bit model (that is harder to achieve than the multiple-bit model) and tightly reduces to the Strong Square Diffie-Hellman assumption (SSQRDH). This allows for very efficient, theoretically-sound instantiations and tight compositions with symmetric primitives.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Published elsewhere. Minor revision. ACM CCS 2024
DOI
10.1145/3658644.3690252
Keywords
ProtossPAKEpassword-based key exchangetightoptimal
Contact author(s)
e di giandomenico @ tue nl
yong li1 @ huawei com
s schage @ tue nl
History
2024-10-08: approved
2024-10-07: received
See all versions
Short URL
https://ia.cr/2024/1581
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/1581,
      author = {Emanuele Di Giandomenico and Yong Li and Sven Schäge},
      title = {$\mathsf{Protoss}$ Protocol for Tight Optimal Symmetric Security},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1581},
      year = {2024},
      doi = {10.1145/3658644.3690252},
      url = {https://eprint.iacr.org/2024/1581}
}
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