Paper 2021/556 Original: eprint.iacr.org/2021/556 ↗

Interactive Physical ZKP for Connectivity:Applications to Nurikabe and Hitori

Leo Robert
Daiki Miyahara
Pascal Lafourcade
Takaaki Mizuk
Abstract

During the last years, many Physical Zero-knowledge Proof(ZKP) protocols for Nikoli’s puzzles have been designed. In this paper, we propose two ZKP protocols for the two Nikoli’s puzzles called Nurikabe and Hitori. These two puzzles have some similarities, since in their rules at least one condition requires that some cells are connected to each other, horizontally or vertically. The novelty in this paper is to propose two techniques that allow us to prove such connectivity without leaking any information about a solution.

Metadata
Available format(s)
PDF
Category
Applications
Publication info
Preprint.
History
2021-04-28: last updated
2021-04-28: published
Short URL
https://ia.cr/2021/556
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2021/556,
      author = {Leo Robert and Daiki Miyahara and Pascal Lafourcade and Takaaki Mizuk},
      title = {Interactive Physical ZKP for Connectivity:Applications to Nurikabe and Hitori},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/556},
      year = {2021},
      url = {https://eprint.iacr.org/2021/556}
}
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