A Multivariate Encryption Scheme with Rainbow

Multivariate Public Key Cryptosystems (MPKC) are a candidate of post-quantum cryptography. The MPKC signature scheme Rainbow is endowed of efficient signature generation and verification, while no major attack has been reported so far. In this paper, we propose a MPKC encryption scheme based on Rainbow. The public key of Rainbow is a surjective polynomial map, whereas the encryption scheme requires an injective polynomial map. We explain how to change the public key of Rainbow to an injective map.

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