Title: New Constructions of MACs from (Tweakable) Block Ciphers
Abstract: We propose new constructions of Message Authentication Codes (MACs) from standard or tweakable block ciphers. Our new schemes are either stateless and deterministic, nonce-based, or randomized, and provably secure either in the ideal cipher model for block cipher-based ones, or in the standard model for tweakable block cipher-based ones. All our constructions are very efficient, requiring only one call the the underlying (tweakable) block cipher in addition to universally hashing the message. Moreover, the security bounds we obtain are quite strong: they are beyond the birthday bound, and nonce-based/randomized variants provide graceful security degradation in case of misuse, i.e., the security bound degrades linearly with the maximal number of repetitions of nonces/random values.