Suffix trees and string complexity

  • Authors:
  • Luke O'Connor;Tim Snider

  • Affiliations:
  • Department of Computer Science, University of Waterloo, Ontario, Canada;Department of Computer Science, University of Waterloo, Ontario, Canada

  • Venue:
  • EUROCRYPT'92 Proceedings of the 11th annual international conference on Theory and application of cryptographic techniques
  • Year:
  • 1992

Quantified Score

Hi-index 0.00

Visualization

Abstract

Let s = (s1, s2, ..., sn) be a sequence of characters where si Ɛ Zp for 1 ≤ i ≤ n. One measure of the complexity of the sequence s is the length of the shortest feedback shift register that will generate s, which is known as the maximum order complexity of s [17, 18]. We provide a proof that the expected length of the shortest feedback register to generate a sequence of length n is less than 2 logp, n + o(1), and also give several other statistics of interest for distinguishing random strings. The proof is based on relating the maximum order complexity to a data structure known as a suflix tree.