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Cryptanalysis of a code-based signature scheme without trapdoors

Marco Baldi
Edoardo Persichetti
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Paolo Santini
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We propose an attack on the recent attempt by Li, Xing and Yeo to produce a code-based signature scheme using the Schnorr-Lyubashevsky approach in the Hamming metric, and verify its effectiveness through numerical simulations. Differently from other (unsuccessful) proposals, this new scheme exploits rejection sampling along with dense noise vectors to hide the secret key structure in produced signatures. We show that these measures, besides yielding very slow signing times and rather long signatures, do not succeed in protecting the secret key. We are indeed able to prove the existence of a strong correlation between produced signatures, which ultimately leaks information about the secret key. To support this claim, we use both theoretical arguments and numerical evidences. Finally, we employ such a weakness to mount a full key recovery attack, which is able to recover the secret key after the observation of a bunch of signatures. Our results show that the considered scheme may be secure only for one-time usage.
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Dates et versions

hal-03687511 , version 1 (03-06-2022)


  • HAL Id : hal-03687511 , version 1


Marco Baldi, Jean-Christophe Deneuville, Edoardo Persichetti, Paolo Santini. Cryptanalysis of a code-based signature scheme without trapdoors. 2021. ⟨hal-03687511⟩
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