What are the advantages of cuckoo hashing over dynamic perfect hashing?
Dynamic perfect hashing in the sense of Dietzfelbinger et al. only needs 2-independent hashing. While there are some results on simple hashing for cuckoo hash tables, such as twisted tabulation hashing and "Explicit and Efficient Hash Families Suffice for Cuckoo Hashing with a Stash", the original dynamic perfect hashing is more robust in some sense.