Cryptographic and physical zero-knowledge proof systems for solutions of Sudoku puzzles

Ronen Gradwohl, Moni Naor, Benny Pinkas, Guy N. Rothblum

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

14 Scopus citations

Abstract

We consider cryptographic and physical zero-knowledge proof schemes for Sudoku, a popular combinatorial puzzle. We discuss methods that allow one party, the prover, to convince another party, the verifier, that the prover has solved a Sudoku puzzle, without revealing the solution to the verifier. The question of interest is how a prover can show: (i) that there is a solution to the given puzzle, and (ii) that he knows the solution, while not giving away any information about the solution to the verifier. In this paper we consider several protocols that achieve these goals. Broadly speaking, the protocols are either cryptographic or physical. By a cryptographic protocol we mean one in the usual model found in the foundations of cryptography literature. In this model, two machines exchange messages, and the security of the protocol relies on computational hardness. By a physical protocol we mean one that is implementable by humans using common objects, and preferably without the aid of computers. In particular, our physical protocols utilize scratch-off cards, similar to those used in lotteries, or even just simple playing cards. The cryptographic protocols are direct and efficient, and do not involve a reduction to other problems. The physical protocols are meant to be understood by "lay-people" and implementable without the use of computers.

Original languageEnglish
Title of host publicationFun with Algorithms - 4th International Conference, FUN 2007, Proceedings
PublisherSpringer Verlag
Pages166-182
Number of pages17
ISBN (Print)9783540729136
DOIs
StatePublished - 2007
Externally publishedYes
Event4th International Conference on Fun with Algorithms, FUN 2007 - Castiglioncello, Italy
Duration: 3 Jun 20075 Jun 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4475 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Conference on Fun with Algorithms, FUN 2007
Country/TerritoryItaly
CityCastiglioncello
Period3/06/075/06/07

Fingerprint

Dive into the research topics of 'Cryptographic and physical zero-knowledge proof systems for solutions of Sudoku puzzles'. Together they form a unique fingerprint.

Cite this