The singularity attack to the multivariate signature scheme himq-3

Jintai Ding, Zheng Zhang, Joshua Deaton

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Abstract

We present a cryptanalysis of a signature scheme HIMQ-3 due to Kyung-Ah Shim et al [10], which is a submission to National Institute of Standards and Technology (NIST) standardization process of post-quantum cryptosystems in 2017. We will show that inherent to the signing process is a leakage of information of the private key. Using this information one can forge a signature.

Original languageEnglish
Pages (from-to)65-72
Number of pages8
JournalAdvances in Mathematics of Communications
Volume15
Issue number1
DOIs
Publication statusPublished - Feb 2021
Externally publishedYes

Keywords

  • Cryptanalysis
  • Multivariate public key cryptography
  • Multivariate qudratic equations
  • Oil vinegar signature scheme

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Ding, J., Zhang, Z., & Deaton, J. (2021). The singularity attack to the multivariate signature scheme himq-3. Advances in Mathematics of Communications, 15(1), 65-72. https://doi.org/10.3934/amc.2020043