This paper presents a zero-knowledge interactive protocol that demonstrates two factors a and b of a composite number n (=ab) are really known by the prover, without revealing the factors themselves. Here the factors a and b need not be primes. The security of the protocol is based on the difficulty of computing discrete logarithms modulo a large prime.
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Hiroki SHIZUYA, Kenji KOYAMA, Toshiya ITOH, "Demonstrating Possession without Revealing Factors" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 1, pp. 39-46, January 1994, doi: .
Abstract: This paper presents a zero-knowledge interactive protocol that demonstrates two factors a and b of a composite number n (=ab) are really known by the prover, without revealing the factors themselves. Here the factors a and b need not be primes. The security of the protocol is based on the difficulty of computing discrete logarithms modulo a large prime.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e77-a_1_39/_p
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@ARTICLE{e77-a_1_39,
author={Hiroki SHIZUYA, Kenji KOYAMA, Toshiya ITOH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Demonstrating Possession without Revealing Factors},
year={1994},
volume={E77-A},
number={1},
pages={39-46},
abstract={This paper presents a zero-knowledge interactive protocol that demonstrates two factors a and b of a composite number n (=ab) are really known by the prover, without revealing the factors themselves. Here the factors a and b need not be primes. The security of the protocol is based on the difficulty of computing discrete logarithms modulo a large prime.},
keywords={},
doi={},
ISSN={},
month={January},}
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TY - JOUR
TI - Demonstrating Possession without Revealing Factors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 39
EP - 46
AU - Hiroki SHIZUYA
AU - Kenji KOYAMA
AU - Toshiya ITOH
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 1994
AB - This paper presents a zero-knowledge interactive protocol that demonstrates two factors a and b of a composite number n (=ab) are really known by the prover, without revealing the factors themselves. Here the factors a and b need not be primes. The security of the protocol is based on the difficulty of computing discrete logarithms modulo a large prime.
ER -