Title
Physical Zero-Knowledge Proofs for Akari, Takuzu, Kakuro and KenKen.
Abstract
Akari, Takuzu, Kakuro and KenKen are logic games similar to Sudoku. In Akari, a labyrinth on a grid has to be lit by placing lanterns, respecting various constraints. In Takuzu a grid has to be filled with 0u0027s and 1u0027s, while respecting certain constraints. In Kakuro a grid has to be filled with numbers such that the sums per row and column match given values; similarly in KenKen a grid has to be filled with numbers such that in given areas the product, sum, difference or quotient equals a given value. We give physical algorithms to realize zero-knowledge proofs for these games which allow a player to show that he knows a solution without revealing it. These interactive proofs can be realized with simple office material as they only rely on cards and envelopes. Moreover, we formalize our algorithms and prove their security.
Year
DOI
Venue
2016
10.4230/LIPIcs.FUN.2016.8
fun with algorithms
DocType
Volume
Citations 
Conference
abs/1606.01045
1
PageRank 
References 
Authors
0.35
3
4
Name
Order
Citations
PageRank
Xavier Bultel110.35
Jannik Dreier212113.70
Jean-Guillaume Dumas342868.48
Pascal Lafourcade456958.37