Portal de Periódicos da CAPES

Interactive Physical ZKP for Connectivity: Applications to Nurikabe and Hitori

2021; Springer Science+Business Media; Linguagem: Inglês

10.1007/978-3-030-80049-9_37

1611-3349

Léo Robert, Daiki Miyahara, Pascal Lafourcade, Takaaki Mizuki,

Polynomial and algebraic computation

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.