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One-Way Functions

Functions that are easy to compute in one direction but infeasible to reverse, the mathematical basis of much cryptography, especially hashing, where you cannot practically recover the input from the output.

A one-way function can be evaluated efficiently but is computationally infeasible to invert: given the output, you cannot practically find the input. This asymmetry underlies cryptographic hashing (you can't recover data from its hash) and contributes to other primitives. Understanding one-way functions clarifies why hashing protects passwords and verifies integrity without being reversible, and it is a foundational concept distinguishing hashing from reversible encryption.

Introduced in: Cryptography Essentials

Examples

  • A hash you can compute easily but cannot reverse to the input.
  • Storing a password's one-way hash so the password can't be recovered.
  • Relying on irreversibility to protect data behind a hash.

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