Interactive Physical ZKP for Connectivity:Applications to Nurikabe and Hitori

Leo Robert; Daiki Miyahara; Pascal Lafourcade; Takaaki Mizuk

Paper 2021/556

Interactive Physical ZKP for Connectivity:Applications to Nurikabe and Hitori

Leo Robert, Daiki Miyahara, Pascal Lafourcade, and 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.

Note: Technical report.

Metadata

Available format(s): PDF
Category: Applications
Publication info: Published elsewhere. Major revision. CiE
Keywords: Zero-knowledge proofs Card-based secure two-party protocols Puzzle Nurikabe Hitori.
Contact author(s): leo robert @ uca fr
History: 2021-04-28: received
Short URL: https://ia.cr/2021/556
License: CC BY

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}
}