Can a Hash Function Be Preimage Resistant but Not Collision Resistant?
Yes, a hash function can be preimage resistant but not collision resistant. Preimage resistance means it is hard to find the input for a given output.
Collision resistance means it is hard to find any two inputs that produce the same output. It is possible to construct a function where finding a specific preimage is difficult, but finding a random pair of inputs that collide is easy.
For example, a function that truncates a long hash output can easily be non-collision resistant but still preimage resistant.
Glossar
Hash Function
Computation ⎊ A hash function, within cryptocurrency, options trading, and financial derivatives, serves as a deterministic algorithm mapping data of arbitrary size to a fixed-size output, crucial for data integrity and security.
Preimage Resistance
Foundation ⎊ Preimage resistance, within cryptographic systems employed in cryptocurrency, options trading, and financial derivatives, signifies the computational difficulty of reversing a hash function ⎊ finding an input that produces a specific hash output.
Collision Resistance
Framework ⎊ Collision resistance, within the context of cryptocurrency, options trading, and financial derivatives, fundamentally concerns the computational infeasibility of finding two distinct inputs that produce the same output from a cryptographic hash function or similar deterministic process.