Re:Choosing a hash function for 2030 and beyond: SHA-2 vs. S...
by amluto on Tuesday November 25, 2025 @12:17PM
(#46048073)
Collision resistance implies second-preimage resistance, but second-preimage resistance does not imply collision resistance.
Some care is needed with the definitions. For any hash function, the adversary can compute a bunch of hashes, and those outputs obviously have known first preimages. And a hash function with a known collision has a known second preimage given one of the colliding inputs.
Re:Choosing a hash function for 2030 and beyond: SHA-2 vs. S...
by Paedor on Tuesday November 25, 2025 @12:18PM
(#46048083)
The second objective is easier than the first. It may be easier to find any M1 and M2 that collide, than to find an M2 that collides with a specific M1.
> [The hash function] also should be second-preimage resistant: For a given message M1, it must be virtually impossible to find a second message M2 where M1 != M2 that produces the same hash hash(M1) == hash(M2).
> These functions should be also collision resistant: it must be virtually impossible to find two messages M1 and M2 where hash(M1) == hash(M2).