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The Shortest Signatures Ever

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Progress in Cryptology – INDOCRYPT 2016 (INDOCRYPT 2016)

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Abstract

Multivariate Cryptography is one of the main candidates for creating post quantum public key cryptosystems. Especially in the area of digital signatures, there exist many practical and secure multivariate schemes. In this paper we present a general technique to reduce the signature size of multivariate schemes. Our technique enables us to reduce the signature size of nearly all multivariate signature schemes by 10 to 15% without slowing down the scheme significantly. We can prove that the security of the underlying scheme is not weakened by this modification. Furthermore, the technique enables a further reduction of the signature size when accepting a slightly more costly verification process. This trade off between signature size and complexity of the verification process can not be observed for any other class of digital signature schemes. By applying our technique to the Gui signature scheme, we obtain the shortest signatures of all existing digital signature schemes.

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Acknowledgments

The first and the second authors are supported by the EU-project PQCRYPTO ICT-645622 and JSPS KAKENHI 15F15350 respectively.

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Authors and Affiliations

  1. Technische Universität Darmstadt, Darmstadt, Germany

    Mohamed Saied Emam Mohamed

  2. Kyushu University, Fukuoka, Japan

    Albrecht Petzoldt

Authors
  1. Mohamed Saied Emam Mohamed
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  2. Albrecht Petzoldt
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Correspondence to Mohamed Saied Emam Mohamed .

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Editors and Affiliations

  1. University of Haifa , Haifa, Israel

    Orr Dunkelman

  2. Indraprashtha Institute of Information Technology (IIIT-D), New Delhi, India

    Somitra Kumar Sanadhya

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Mohamed, M.S.E., Petzoldt, A. (2016). The Shortest Signatures Ever. In: Dunkelman, O., Sanadhya, S. (eds) Progress in Cryptology – INDOCRYPT 2016. INDOCRYPT 2016. Lecture Notes in Computer Science(), vol 10095. Springer, Cham. https://doi.org/10.1007/978-3-319-49890-4_4

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  • DOI: https://doi.org/10.1007/978-3-319-49890-4_4

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