Abstract
Meneghetti, Picozzi, and Tognolini proposed a Hamming-metric code-based digital signature scheme from QC-LDPC codes in [10]. Using quasi cyclic codes enables the scheme to have small key sizes, while the structure of LDPC codes helps to achieve good overall performance. In this paper, we discuss the security of this code-based signature scheme. In particular, we present a partial key recovery attack that uses a statistical method to recover an important part of the secret key. Using a proof-of-concept Sagemath implementation, we are able to recover part of the secret key using as few as 25 signatures in less than 2 minutes for all proposed parameter sets. Furthermore, we follow up this partial key recovery attack by a forgery attack.
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Prabowo, T.F., Tan, C.H. (2023). Attack on a Code-Based Signature Scheme from QC-LDPC Codes. In: El Hajji, S., Mesnager, S., Souidi, E.M. (eds) Codes, Cryptology and Information Security. C2SI 2023. Lecture Notes in Computer Science, vol 13874. Springer, Cham. https://doi.org/10.1007/978-3-031-33017-9_9
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