Cryptographic Hash Function

A hash function h : Σ∗in → Σnout is cryptographic if it is one way or collision resistant


  • A mapping f : A → B
  • A and B be two algebraic structures
  • A homomorphism of A into B:
    • Preserves the operations of A
  • If ◦ is an operation of A and * an operation of B:
    • f (x ◦ y) = f (x) * f (y) must hold for all x, y ∈ A


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