Authenticated Encryption without Tag Expansion (or, How to Accelerate AERO), by Kazuhiko Minematsu

Standard form of authenticated encryption (AE) requires the ciphertext to be expanded by the nonce and the authentication tag. These expansions can be problematic when messages are relatively short and communication cost is high. This paper studies a form of AE scheme whose ciphertext is only expanded by nonce, with the help of stateful receiver which also enables detection of replays. While there is a scheme having this feature, called AERO, proposed by McGrew and Foley, there is no formal treatment based on the provable security framework. We propose a provable security framework for such AE schemes, which we call MiniAE, and show several secure schemes using standard symmetric crypto primitives. Most notably, one of our schemes has a similar structure as OCB mode of operation and uses only one blockcipher call to process one input block, thus the computation cost is comparable to the nonce-based encryption-only schemes.