What is the primary design goal regarding collisions in cryptographic hashing?

What is the primary design goal regarding collisions in cryptographic hashing?

• A. It Guarantees No Collisions
• B. A Cryptographic Hash Function Aims To Minimize The Chance Of Two Different Inputs Producing The Same Output
• C. It Encrypts The Input
• D. It Compresses The Data

Answer: (B)

Collision resistance is the aim: design the hash so it’s computationally infeasible to find two different inputs that produce the same hash output. Because hashes map arbitrary-length data to a fixed length, collisions must exist by the pigeonhole principle, so the goal isn’t to guarantee zero collisions, but to make finding any collision extremely unlikely in practice. The more bits the hash has, the harder it becomes to find collisions (roughly up to 2^(n/2) effort with generic attacks, due to the birthday bound). That’s why the best choice describes minimizing the chance that two different inputs yield the same output. The other ideas aren’t the goal here: hashing isn’t about encryption, and it isn’t primarily about compressing data.

Collision resistance is the aim: design the hash so it’s computationally infeasible to find two different inputs that produce the same hash output. Because hashes map arbitrary-length data to a fixed length, collisions must exist by the pigeonhole principle, so the goal isn’t to guarantee zero collisions, but to make finding any collision extremely unlikely in practice. The more bits the hash has, the harder it becomes to find collisions (roughly up to 2^(n/2) effort with generic attacks, due to the birthday bound).

That’s why the best choice describes minimizing the chance that two different inputs yield the same output. The other ideas aren’t the goal here: hashing isn’t about encryption, and it isn’t primarily about compressing data.