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U-EPS: An Ultra-small and Efficient Post-quantum Signature Scheme

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Foundations and Practice of Security (FPS 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 12056))

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Abstract

Lamport and Winternitz signature schemes are well known one-time quantum resistant digital signature schemes. Along this line, several new one-time signature schemes are proposed. However, their private key and signature sizes are of \(\mathcal {O}(n^2)\) for \(k<n\)-bit security. Considering the applications in Internet of Things (IoT) and blockchains, \(\mathcal {O}(n^2)\) size is notably high. In this paper, we introduce a new one-time post-quantum signature scheme called U-EPS which achieve \(k=112\)-bit security with private key size 2n and signature sizes 3n bits (for \(n = 256\)), respectively. Our scheme only requires two calls of hash function and a single call of encryption/decryption algorithm for signature generation and verification procedures. We provide a concrete instantiation and implementation of U-EPS using SPIX-256 which is a NIST Lightweight Cryptographic Project Round 2 candidate. Finally, we give the comparison results with existing schemes.

Supported by NSERC.

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Notes

  1. 1.

    For signing multiple messages, a Merkle tree based approach is typically used.

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Acknowledgment

The work is supported by NSERC SPG Grant.

Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Guang Gong, Morgan He, Raghvendra Rohit & Yunjie Yi

Authors
  1. Guang Gong
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  2. Morgan He
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  3. Raghvendra Rohit
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  4. Yunjie Yi
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Corresponding author

Correspondence to Yunjie Yi .

Editor information

Editors and Affiliations

  1. Université Paul Sabatier (CNRS IRIT), Toulouse, France

    Abdelmalek Benzekri

  2. Carleton University, Ottawa, ON, Canada

    Michel Barbeau

  3. University of Waterloo, Waterloo, ON, Canada

    Guang Gong

  4. Université Paul Sabatier (CNRS IRIT), Toulouse, France

    Romain Laborde

  5. Telecom SudParis, IMT, Palaiseau, France

    Joaquin Garcia-Alfaro

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Gong, G., He, M., Rohit, R., Yi, Y. (2020). U-EPS: An Ultra-small and Efficient Post-quantum Signature Scheme. In: Benzekri, A., Barbeau, M., Gong, G., Laborde, R., Garcia-Alfaro, J. (eds) Foundations and Practice of Security. FPS 2019. Lecture Notes in Computer Science(), vol 12056. Springer, Cham. https://doi.org/10.1007/978-3-030-45371-8_16

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  • DOI: https://doi.org/10.1007/978-3-030-45371-8_16

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