SM4th and uBlockith: VOLE-based Post-Quantum Signature Schemes from Chinese Block Ciphers

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FAEST is a family of post-quantum signature schemes based on VOLE-in-the-Head, and is one of the nine candidates advanced to the third round of the NIST Additional Digital Signature process. FAEST relies only on symmetric cryptographic primitives, including block ciphers and hash functions, and does not require structured number-theoretic assumptions. We propose two families of signature schemes, SM4th and uBlockith, targeting 128-bit and 256-bit classical security, respectively. SM4th and