IEICE TRANSACTIONS on Fundamentals
A Way of Making Trapdoor One-Way Functions Trapdoor No-Way
Summary :
A trapdoor one-way function is an extended version of a zero-way permutation. A zero-way permutation was first introduced by Niemi-Renvall in Asiacrypt'94. In this paper we define the class of functions called no-way functions. This is an extended version of a zero-way permutation. Intuitively, a function f is no-way if, without trapdoor, both computing f and computing f-1 are hard. Li-Chida-Shizuya defined the notion of a no-way function, which is a provable-security version of a zero-way permutation. They also gave an example of a no-way function such that computing f and f-1 is proven to be as hard as breaking the Diffie-Hellman key exchange scheme. We redefine the notion of a trapdoor no-way function more preciously, classify no-way functions by the property of the trapdoor: common, separated and semi-separated trapdoor no-way, give a method for constructing trapdoor no-way functions from trapdoor one-way functions, and also give an example of trapdoor no-way functions.
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- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.1 pp.151-156
- Publication Date
- 2001/01/01
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- Special Section PAPER (Special Section on Cryptography and Information Security)
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Eikoh CHIDA, Motoji OHMORI, Hiroki SHIZUYA, "A Way of Making Trapdoor One-Way Functions Trapdoor No-Way" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 1, pp. 151-156, January 2001, doi: .
Abstract: A trapdoor one-way function is an extended version of a zero-way permutation. A zero-way permutation was first introduced by Niemi-Renvall in Asiacrypt'94. In this paper we define the class of functions called no-way functions. This is an extended version of a zero-way permutation. Intuitively, a function f is no-way if, without trapdoor, both computing f and computing f-1 are hard. Li-Chida-Shizuya defined the notion of a no-way function, which is a provable-security version of a zero-way permutation. They also gave an example of a no-way function such that computing f and f-1 is proven to be as hard as breaking the Diffie-Hellman key exchange scheme. We redefine the notion of a trapdoor no-way function more preciously, classify no-way functions by the property of the trapdoor: common, separated and semi-separated trapdoor no-way, give a method for constructing trapdoor no-way functions from trapdoor one-way functions, and also give an example of trapdoor no-way functions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_1_151/_p
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@ARTICLE{e84-a_1_151,
author={Eikoh CHIDA, Motoji OHMORI, Hiroki SHIZUYA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Way of Making Trapdoor One-Way Functions Trapdoor No-Way},
year={2001},
volume={E84-A},
number={1},
pages={151-156},
abstract={A trapdoor one-way function is an extended version of a zero-way permutation. A zero-way permutation was first introduced by Niemi-Renvall in Asiacrypt'94. In this paper we define the class of functions called no-way functions. This is an extended version of a zero-way permutation. Intuitively, a function f is no-way if, without trapdoor, both computing f and computing f-1 are hard. Li-Chida-Shizuya defined the notion of a no-way function, which is a provable-security version of a zero-way permutation. They also gave an example of a no-way function such that computing f and f-1 is proven to be as hard as breaking the Diffie-Hellman key exchange scheme. We redefine the notion of a trapdoor no-way function more preciously, classify no-way functions by the property of the trapdoor: common, separated and semi-separated trapdoor no-way, give a method for constructing trapdoor no-way functions from trapdoor one-way functions, and also give an example of trapdoor no-way functions.},
keywords={},
doi={},
ISSN={},
month={January},}
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TY - JOUR
TI - A Way of Making Trapdoor One-Way Functions Trapdoor No-Way
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 151
EP - 156
AU - Eikoh CHIDA
AU - Motoji OHMORI
AU - Hiroki SHIZUYA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2001
AB - A trapdoor one-way function is an extended version of a zero-way permutation. A zero-way permutation was first introduced by Niemi-Renvall in Asiacrypt'94. In this paper we define the class of functions called no-way functions. This is an extended version of a zero-way permutation. Intuitively, a function f is no-way if, without trapdoor, both computing f and computing f-1 are hard. Li-Chida-Shizuya defined the notion of a no-way function, which is a provable-security version of a zero-way permutation. They also gave an example of a no-way function such that computing f and f-1 is proven to be as hard as breaking the Diffie-Hellman key exchange scheme. We redefine the notion of a trapdoor no-way function more preciously, classify no-way functions by the property of the trapdoor: common, separated and semi-separated trapdoor no-way, give a method for constructing trapdoor no-way functions from trapdoor one-way functions, and also give an example of trapdoor no-way functions.
ER -
English
