IEICE TRANSACTIONS on Fundamentals
A Lossy Identification Scheme Using the Subgroup Decision Assumption
Summary :
Lossy identification schemes are used to construct tightly secure signature schemes via the Fiat-Shamir heuristic in the random oracle model. Several lossy identification schemes are instantiated by using the short discrete logarithm assumption, the ring-LWE assumption and the subset sum assumption, respectively. For assumptions concerning the integer factoring, Abdalla, Ben Hamouda and Pointcheval [3] recently presented lossy identification schemes based on the φ-hiding assumption, the QR assumption and the DCR assumption, respectively. In this paper, we propose new instantiations of lossy identification schemes. We first construct a variant of the Schnorr's identification scheme, and show its lossiness under the subgroup decision assumption. We also construct a lossy identification scheme which is based on the DCR assumption. Our DCR-based scheme has an advantage relative to the ABP's DCR-based scheme since our scheme needs no modular exponentiation in the response phase. Therefore our scheme is suitable when it is transformed to an online/offline signature.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.6 pp.1296-1306
- Publication Date
- 2014/06/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.1296
- Type of Manuscript
- Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
- Category
Authors
Shingo HASEGAWA
Tohoku University
Shuji ISOBE
Tohoku University
Keyword
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Shingo HASEGAWA, Shuji ISOBE, "A Lossy Identification Scheme Using the Subgroup Decision Assumption" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 6, pp. 1296-1306, June 2014, doi: 10.1587/transfun.E97.A.1296.
Abstract: Lossy identification schemes are used to construct tightly secure signature schemes via the Fiat-Shamir heuristic in the random oracle model. Several lossy identification schemes are instantiated by using the short discrete logarithm assumption, the ring-LWE assumption and the subset sum assumption, respectively. For assumptions concerning the integer factoring, Abdalla, Ben Hamouda and Pointcheval [3] recently presented lossy identification schemes based on the φ-hiding assumption, the QR assumption and the DCR assumption, respectively. In this paper, we propose new instantiations of lossy identification schemes. We first construct a variant of the Schnorr's identification scheme, and show its lossiness under the subgroup decision assumption. We also construct a lossy identification scheme which is based on the DCR assumption. Our DCR-based scheme has an advantage relative to the ABP's DCR-based scheme since our scheme needs no modular exponentiation in the response phase. Therefore our scheme is suitable when it is transformed to an online/offline signature.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.1296/_p
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@ARTICLE{e97-a_6_1296,
author={Shingo HASEGAWA, Shuji ISOBE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Lossy Identification Scheme Using the Subgroup Decision Assumption},
year={2014},
volume={E97-A},
number={6},
pages={1296-1306},
abstract={Lossy identification schemes are used to construct tightly secure signature schemes via the Fiat-Shamir heuristic in the random oracle model. Several lossy identification schemes are instantiated by using the short discrete logarithm assumption, the ring-LWE assumption and the subset sum assumption, respectively. For assumptions concerning the integer factoring, Abdalla, Ben Hamouda and Pointcheval [3] recently presented lossy identification schemes based on the φ-hiding assumption, the QR assumption and the DCR assumption, respectively. In this paper, we propose new instantiations of lossy identification schemes. We first construct a variant of the Schnorr's identification scheme, and show its lossiness under the subgroup decision assumption. We also construct a lossy identification scheme which is based on the DCR assumption. Our DCR-based scheme has an advantage relative to the ABP's DCR-based scheme since our scheme needs no modular exponentiation in the response phase. Therefore our scheme is suitable when it is transformed to an online/offline signature.},
keywords={},
doi={10.1587/transfun.E97.A.1296},
ISSN={1745-1337},
month={June},}
Copy
TY - JOUR
TI - A Lossy Identification Scheme Using the Subgroup Decision Assumption
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1296
EP - 1306
AU - Shingo HASEGAWA
AU - Shuji ISOBE
PY - 2014
DO - 10.1587/transfun.E97.A.1296
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2014
AB - Lossy identification schemes are used to construct tightly secure signature schemes via the Fiat-Shamir heuristic in the random oracle model. Several lossy identification schemes are instantiated by using the short discrete logarithm assumption, the ring-LWE assumption and the subset sum assumption, respectively. For assumptions concerning the integer factoring, Abdalla, Ben Hamouda and Pointcheval [3] recently presented lossy identification schemes based on the φ-hiding assumption, the QR assumption and the DCR assumption, respectively. In this paper, we propose new instantiations of lossy identification schemes. We first construct a variant of the Schnorr's identification scheme, and show its lossiness under the subgroup decision assumption. We also construct a lossy identification scheme which is based on the DCR assumption. Our DCR-based scheme has an advantage relative to the ABP's DCR-based scheme since our scheme needs no modular exponentiation in the response phase. Therefore our scheme is suitable when it is transformed to an online/offline signature.
ER -
English
