Abstract
Group signature is a major tool in today’s cryptography. Rank based cryptography has been known for almost 30 years and recently reached the second round of the NIST competition for post-quantum primitives. In this work, we present a code-based group signature scheme in the rank metric context. The scheme follows the path presented by Ezerman et al. (ASIACRYPT’ 2015) for Hamming metric but in a rank metric context which requires some specific adaptation and generalization. The scheme used a rank metric variation of the Stern’s authentication scheme and relies solely on generic decoding problems. It also satisfies the \(\mathsf {CPA}\)-anonymity and traceability properties in the random oracle model. In general the parameters of our scheme are slightly better compared to the Hamming scheme.
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Blazy, O., Gaborit, P., Mac, D.T. (2022). A Rank Metric Code-Based Group Signature Scheme. In: Wachter-Zeh, A., Bartz, H., Liva, G. (eds) Code-Based Cryptography. CBCrypto 2021. Lecture Notes in Computer Science, vol 13150. Springer, Cham. https://doi.org/10.1007/978-3-030-98365-9_1
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