Improved sketching of hamming distance with error correcting

  • Authors:
  • Ely Porat;Ohad Lipsky

  • Affiliations:
  • Bar-Ilan University, Dept. of Computer Science, Israel and Google Inc.;Bar-Ilan University, Dept. of Computer Science, Ramat-Gan, Israel

  • Venue:
  • CPM'07 Proceedings of the 18th annual conference on Combinatorial Pattern Matching
  • Year:
  • 2007

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Abstract

We address the problemof sketching the hamming distance of data streams. We develop Fixable Sketches which compare data streams or files and restore the differences between them. Our contribution: For two streams with hamming distance bounded by k we show a sketch of size O(k log n) with O(log n) processing time per new element in the stream and how to restore all locations where the two streams differ in time linear in the sketch size. Probability of error is less than 1/n.