IEICE TRANSACTIONS on Fundamentals
Security of Multivariate Signature Scheme Using Non-commutative Rings
Summary :
Multivariate Public Key Cryptosystems (MPKC) are candidates for post-quantum cryptography. Rainbow is a digital signature scheme in MPKC, whose signature generation and verification are relatively efficient. However, the security of MPKC depends on the difficulty in solving a system of multivariate polynomials, and the key length of MPKC becomes substantially large compared with that of RSA cryptosystems for the same level of security. The size of the secret and public keys in MPKC has been reduced in previous research. The NC-Rainbow is a signature scheme in MPKC, which was proposed in order to reduce the size of secret key of Rainbow. So far, several attacks against NC-Rainbow have been proposed. In this paper, we summarize attacks against NC-Rainbow, containing attacks against the original Rainbow, and analyze the total security of NC-Rainbow. Based on the cryptanalysis, we estimate the security parameter of NC-Rainbow at the several security level.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.1 pp.245-252
- Publication Date
- 2014/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.245
- Type of Manuscript
- Special Section PAPER (Special Section on Cryptography and Information Security)
- Category
- Foundations
Authors
Takanori YASUDA
Information Technologies and Nanotechnologies
Tsuyoshi TAKAGI
Kyushu University
Kouichi SAKURAI
Information Technologies and Nanotechnologies,Kyushu University
Keyword
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Takanori YASUDA, Tsuyoshi TAKAGI, Kouichi SAKURAI, "Security of Multivariate Signature Scheme Using Non-commutative Rings" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 1, pp. 245-252, January 2014, doi: 10.1587/transfun.E97.A.245.
Abstract: Multivariate Public Key Cryptosystems (MPKC) are candidates for post-quantum cryptography. Rainbow is a digital signature scheme in MPKC, whose signature generation and verification are relatively efficient. However, the security of MPKC depends on the difficulty in solving a system of multivariate polynomials, and the key length of MPKC becomes substantially large compared with that of RSA cryptosystems for the same level of security. The size of the secret and public keys in MPKC has been reduced in previous research. The NC-Rainbow is a signature scheme in MPKC, which was proposed in order to reduce the size of secret key of Rainbow. So far, several attacks against NC-Rainbow have been proposed. In this paper, we summarize attacks against NC-Rainbow, containing attacks against the original Rainbow, and analyze the total security of NC-Rainbow. Based on the cryptanalysis, we estimate the security parameter of NC-Rainbow at the several security level.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.245/_p
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@ARTICLE{e97-a_1_245,
author={Takanori YASUDA, Tsuyoshi TAKAGI, Kouichi SAKURAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Security of Multivariate Signature Scheme Using Non-commutative Rings},
year={2014},
volume={E97-A},
number={1},
pages={245-252},
abstract={Multivariate Public Key Cryptosystems (MPKC) are candidates for post-quantum cryptography. Rainbow is a digital signature scheme in MPKC, whose signature generation and verification are relatively efficient. However, the security of MPKC depends on the difficulty in solving a system of multivariate polynomials, and the key length of MPKC becomes substantially large compared with that of RSA cryptosystems for the same level of security. The size of the secret and public keys in MPKC has been reduced in previous research. The NC-Rainbow is a signature scheme in MPKC, which was proposed in order to reduce the size of secret key of Rainbow. So far, several attacks against NC-Rainbow have been proposed. In this paper, we summarize attacks against NC-Rainbow, containing attacks against the original Rainbow, and analyze the total security of NC-Rainbow. Based on the cryptanalysis, we estimate the security parameter of NC-Rainbow at the several security level.},
keywords={},
doi={10.1587/transfun.E97.A.245},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - Security of Multivariate Signature Scheme Using Non-commutative Rings
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 245
EP - 252
AU - Takanori YASUDA
AU - Tsuyoshi TAKAGI
AU - Kouichi SAKURAI
PY - 2014
DO - 10.1587/transfun.E97.A.245
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2014
AB - Multivariate Public Key Cryptosystems (MPKC) are candidates for post-quantum cryptography. Rainbow is a digital signature scheme in MPKC, whose signature generation and verification are relatively efficient. However, the security of MPKC depends on the difficulty in solving a system of multivariate polynomials, and the key length of MPKC becomes substantially large compared with that of RSA cryptosystems for the same level of security. The size of the secret and public keys in MPKC has been reduced in previous research. The NC-Rainbow is a signature scheme in MPKC, which was proposed in order to reduce the size of secret key of Rainbow. So far, several attacks against NC-Rainbow have been proposed. In this paper, we summarize attacks against NC-Rainbow, containing attacks against the original Rainbow, and analyze the total security of NC-Rainbow. Based on the cryptanalysis, we estimate the security parameter of NC-Rainbow at the several security level.
ER -
English
