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

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

פרסום מחקרי: פרק בספר / בדוח / בכנספרסום בספר כנסביקורת עמיתים

16 ציטוטים ‏(Scopus)

תקציר

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.

שפה מקוריתאנגלית
כותר פרסום המארחFun with Algorithms - 4th International Conference, FUN 2007, Proceedings
עמודים166-182
מספר עמודים17
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 2007
פורסם באופן חיצוניכן
אירוע4th International Conference on Fun with Algorithms, FUN 2007 - Castiglioncello, איטליה
משך הזמן: 3 יוני 20075 יוני 2007

סדרות פרסומים

שםLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
כרך4475 LNCS
ISSN (מודפס)0302-9743
ISSN (אלקטרוני)1611-3349

כנס

כנס4th International Conference on Fun with Algorithms, FUN 2007
מדינה/אזוראיטליה
עירCastiglioncello
תקופה3/06/075/06/07

טביעת אצבע

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