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General Fault Attacks on Multivariate Public Key Cryptosystems

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Post-Quantum Cryptography (PQCrypto 2011)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7071))

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Abstract

The multivariate public key cryptosystem (MPKC), which is based on the problem of solving a set of multivariate systems of quadratic equations over a finite field, is expected to be secure against quantum attacks. Although there are several existing schemes in MPKC that survived known attacks and are much faster than RSA and ECC, there have been few discussions on security against physical attacks, aside from the work of Okeya et al. (2005) on side-channel attacks against Sflash. In this study, we describe general fault attacks on MPKCs including Big Field type (e.g. Matsumoto-Imai, HFE and Sflash) and Stepwise Triangular System (STS) type (e.g. UOV, Rainbow and TTM/TTS). For both types, recovering (parts of) the secret keys S,T with our fault attacks becomes more efficient than doing without them. Especially, on the Big Field type, only single fault is sufficient to recover the secret keys.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of the Ryukyus, Japan

    Yasufumi Hashimoto

  2. Institute of Mathematics for Industry, Kyushu University, Japan

    Tsuyoshi Takagi

  3. Department of Informatics,Institute of Systems, Information Technologies and Nanotechnologies, Kyushu University, Japan

    Kouichi Sakurai

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  1. Yasufumi Hashimoto
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  2. Tsuyoshi Takagi
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  3. Kouichi Sakurai
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Editors and Affiliations

  1. Academia Sinica, Taipei, Taiwan

    Bo-Yin Yang

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Hashimoto, Y., Takagi, T., Sakurai, K. (2011). General Fault Attacks on Multivariate Public Key Cryptosystems. In: Yang, BY. (eds) Post-Quantum Cryptography. PQCrypto 2011. Lecture Notes in Computer Science, vol 7071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25405-5_1

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  • DOI: https://doi.org/10.1007/978-3-642-25405-5_1

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