Another Look at Security Theorems for 1-Key Nested MACs

We prove a security theorem without collision-resistance for a class of 1-key hash-function-based MAC schemes that includes HMAC and Envelope MAC. The proof has some advantages over earlier proofs: it is in the uniform model, it uses a weaker related-key assumption, and it covers a broad class of MACs in a single theorem. However, we also explain why our theorem is of doubtful value in assessing the real-world security of these MAC schemes. In addition, we prove a theorem assuming collision-resistance. From these two theorems we conclude that from a provable security standpoint there is little reason to prefer HMAC to Envelope MAC or similar schemes.