Paper 2022/1306
Single-shuffle Full-open Card-based Protocols Imply Private Simultaneous Messages Protocols
, Ibaraki University, National Institute of Advanced Industrial Science and Technology, Kyushu University, National Institute of Advanced Industrial Science and TechnologyAbstract
In this note, we introduce a class of card-based protocols called single-shuffle full-open (SSFO) protocols and show that any SSFO protocol for a function $f: \{0,1\}^n \rightarrow [d]$ using $k$ cards is generically converted to a private simultaneous messages (PSM) protocol for $f$ with $(nk)$-bit communication. As an example application, we obtain an 18-bit PSM protocol for the three-bit equality function from the six-card trick (Heather-Schneider-Teague, Formal Aspects of Computing 2014), which is an SSFO protocol in our terminology. We then generalize this result to another class of protocols which we name single-shuffle single-branch (SSSB) protocols, which contains SSFO protocols as a subclass. As an example application, we obtain an 8-bit PSM protocol for the two-bit AND function from the four-card trick (Mizuki-Kumamoto-Sone, ASIACRYPT 2012), which is an SSSB protocol in our terminology.
Metadata
- Available format(s)
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PDF
- Category
- Foundations
- Publication info
- Preprint.
- Keywords
- card-based protocols private simultaneous messages
- Contact author(s)
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kazumasa shinagawa np92 @ vc ibaraki ac jp
nuida @ imi kyushu-u ac jp - History
- 2022-10-03: approved
- 2022-10-01: received
- See all versions
- Short URL
- https://ia.cr/2022/1306
- License
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CC BY
BibTeX
@misc{cryptoeprint:2022/1306,
author = {Kazumasa Shinagawa and Koji Nuida},
title = {Single-shuffle Full-open Card-based Protocols Imply Private Simultaneous Messages Protocols},
howpublished = {Cryptology ePrint Archive, Paper 2022/1306},
year = {2022},
note = {\url{https://eprint.iacr.org/2022/1306}},
url = {https://eprint.iacr.org/2022/1306}
}
