On Construction of Signature Scheme over a Certain Non-Commutative Ring
Summary :
We review a fundamental weak point of the OSS digital signature scheme against cryptanalysis by Pollard et al., and propose a new scheme of digital signature which overcomes this defect. More specifically, instead of the ring of the rational integer, we use the ring of integral quaternions, which is a non-commutative Euclidean ring. Known attacks to OSS signature do not work our scheme due to the non-commutativity. On the other hand, this scheme causes little increase in the burden of generation and verification of digital signature for the legitimate users, with respect to the original OSS scheme.
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- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.1 pp.40-45
- Publication Date
- 1997/01/25
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- Type of Manuscript
- Special Section PAPER (Special Section on Cryptography and Information Security)
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Takakazu SATOH, Kiyomichi ARAKI, "On Construction of Signature Scheme over a Certain Non-Commutative Ring" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 1, pp. 40-45, January 1997, doi: .
Abstract: We review a fundamental weak point of the OSS digital signature scheme against cryptanalysis by Pollard et al., and propose a new scheme of digital signature which overcomes this defect. More specifically, instead of the ring of the rational integer, we use the ring of integral quaternions, which is a non-commutative Euclidean ring. Known attacks to OSS signature do not work our scheme due to the non-commutativity. On the other hand, this scheme causes little increase in the burden of generation and verification of digital signature for the legitimate users, with respect to the original OSS scheme.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_1_40/_p
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@ARTICLE{e80-a_1_40,
author={Takakazu SATOH, Kiyomichi ARAKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On Construction of Signature Scheme over a Certain Non-Commutative Ring},
year={1997},
volume={E80-A},
number={1},
pages={40-45},
abstract={We review a fundamental weak point of the OSS digital signature scheme against cryptanalysis by Pollard et al., and propose a new scheme of digital signature which overcomes this defect. More specifically, instead of the ring of the rational integer, we use the ring of integral quaternions, which is a non-commutative Euclidean ring. Known attacks to OSS signature do not work our scheme due to the non-commutativity. On the other hand, this scheme causes little increase in the burden of generation and verification of digital signature for the legitimate users, with respect to the original OSS scheme.},
keywords={},
doi={},
ISSN={},
month={January},}
Copy
TY - JOUR
TI - On Construction of Signature Scheme over a Certain Non-Commutative Ring
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 40
EP - 45
AU - Takakazu SATOH
AU - Kiyomichi ARAKI
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 1997
AB - We review a fundamental weak point of the OSS digital signature scheme against cryptanalysis by Pollard et al., and propose a new scheme of digital signature which overcomes this defect. More specifically, instead of the ring of the rational integer, we use the ring of integral quaternions, which is a non-commutative Euclidean ring. Known attacks to OSS signature do not work our scheme due to the non-commutativity. On the other hand, this scheme causes little increase in the burden of generation and verification of digital signature for the legitimate users, with respect to the original OSS scheme.
ER -
English
