Message-Recovery MACs and Verification-Unskippable AE

This paper explores a new type of MACs called messagerecovery MACs (MRMACs). MRMACs have an additional input R that gets recovered upon verification. Receivers must execute verification in order to recover R, making the verification process unskippable. Such a feature helps avoid mis-implementing verification algorithms. The syntax and security notions of MRMACs are rigorously formulated. In particular, we formalize the notion of unskippability and present a construction of an unskippable MRMAC from a tweakable cipher and a universal hash function. Our construction is provided with formal security proofs. We extend the idea of MRMACs to a new type of authenticated encryption called verification-unskippable AE (VUAE). We propose a generic Encthen-MRMAC composition which realizes VUAE. The encryption part needs to satisfy a new security notion called one-time undecipherability. We provide three constructions that are one-time undecipherable, and they are proven secure under various security models.