Revisiting the Security of the ALRED Design and Two of Its Variants: Marvin and LetterSoup

The Alred construction is a lightweight strategy for constructing message authentication algorithms from an underlying iterated block cipher. Even though this construction's original analyses show that it is secure against some attacks, the absence of formal security proofs in a strong security model still brings uncertainty on its robustness. In this paper, aiming to give a better understanding of the security level provided by different authentication algorithms based on this design strategy, we formally analyze two Alred variants—the Marvin message authentication code and the LetterSoup authenticated-encryption scheme,—bounding their security as a function of the attacker's resources and of the underlying cipher's characteristics.