• Output is a bit string of fixed length • Easy to compute • Difficult to invert • Given H(x), computationally infeasible to find x • Collision resistant • Computationally infeasible to find x = y such that H(x) = H(y) • Pseudorandom function • Output looks like a uniformly distributed random variable • Given T ∈ Z ∩ [0, 2256 − 1] and distinct inputs x1 , x2 , . . . , xN N i=1 I [SHA256(xi ) ≤ T] N ≈ T + 1 2256 ≈ T 2256 . 10 / 28