Open Access
February 2009 Simple Zero-Knowledge Proof of Knowing $\sqrt{X_1}$ or $\sqrt{X_2}$ mod $N$
Sheng Zhong
Bull. Belg. Math. Soc. Simon Stevin 16(1): 167-170 (February 2009). DOI: 10.36045/bbms/1235574200

Abstract

Tompa and Woll constructed a zero-knowledge proof of knowing a square root of $X$ mod $N$, where $N$ is the product of two large, secret primes. In this paper, we construct a zero-knowledge proof of knowing a square root of $X_1$ or $X_2$ mod $N$. Compared with the existing solution to this problem, ours is significantly simpler.

Citation

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Sheng Zhong. "Simple Zero-Knowledge Proof of Knowing $\sqrt{X_1}$ or $\sqrt{X_2}$ mod $N$." Bull. Belg. Math. Soc. Simon Stevin 16 (1) 167 - 170, February 2009. https://doi.org/10.36045/bbms/1235574200

Information

Published: February 2009
First available in Project Euclid: 25 February 2009

zbMATH: 1248.94101
MathSciNet: MR2498967
Digital Object Identifier: 10.36045/bbms/1235574200

Subjects:
Primary: 11T71 , 94A60

Keywords: cryptography , interactive proof , zero-knowledge proof

Rights: Copyright © 2009 The Belgian Mathematical Society

Vol.16 • No. 1 • February 2009
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