IBUOV, A Provably Secure Identity-Based UOV Signature Scheme

Multivariate Public Key Cryptosystem (MPKC) is one of post-quantum cryptosystems which can potentially resist quantum computer attacks. It has increasingly been seen by some as a possible alternative to public key cryptosystems RSA, ECC, etc., which are widely in use today. Moreover, MPKC schemes are in general much more computationally efficient than number theoretic-based schemes. However, the oversize key poses obstacle on the calculation and transmission in MPKC. We notice the feature and benefit of the identity-based cryptography - the public key is directly gained from the user´s identity information. Based on this, we consider introducing the identity-based semantics to MPKC, and it can cut down the size of public key of MPKC. Using the idea of constructing certificate-based Identity-Based Signature (IBS), we propose a novel and secure Identity-Based Unbalanced Oil-Vinegar (IBUOV) signature scheme based on the ordinary Unbalanced Oil-Vinegar (UOV) signature scheme. We provide the provable security to explain that our proposal is secure.