Security of Multivariate Signature Scheme Using Non-commutative Rings
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- YASUDA Takanori
- Institute of Systems, Information Technologies and Nanotechnologies
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- TAKAGI Tsuyoshi
- Institute of Mathematics for Industry, Kyushu University
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- SAKURAI Kouichi
- Institute of Systems, Information Technologies and Nanotechnologies Department of Informatics, Kyushu University
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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.
Journal
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E97.A (1), 245-252, 2014
The Institute of Electronics, Information and Communication Engineers
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Details 詳細情報について
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- CRID
- 1390001206311955200
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- NII Article ID
- 130003385350
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- NII Book ID
- AA10826239
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- ISSN
- 17451337
- 09168508
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- NDL BIB ID
- 025114489
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed