On Universal Classes of Extremely Random Constant-Time Hash Functions

  • Authors:
  • Alan Siegel

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 2004

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Abstract

A family of functions F that map [0,m-1] into [0,n-1] is said to be $\h$-wise independent if any tuple of $\h$ distinct points in $[0,m-1]$ have a corresponding image, for a randomly selected $f\in F$, that is uniformly distributed in $[0,n-1]^{\h}$. This paper shows that for suitably fixed $\epsilon