New Integrated proof Method on Iterated Hash Structure and New Structures

A secure hash structure in Random Oracle Model may not be a secure model in true design. In this paper, we give an integrated proof method on security proof of iterated hash structure. Based on the proof method, we can distinguish the security of Merkel-Damag̊ard structure, wide-pipe hash, double-pipe hash and 3c hash and know the requirement of true design on compression function, and give a new recommend structure. At last, we give new hash structure, MAC structure, encryption model, which use same block cipher round function and key schedule algorithm, the security proofs on those structures are given.