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Suffix trees and string complexity

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 658)

Abstract

Let s = (s 1, s 2, . . ., s n) be a sequence of characters where s iZ p for 1 ≤ in. 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 suffix tree.

Keywords

Binary Sequence Finite State Machine Linear Span Shift Register Stream Cipher 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of WaterlooCanada

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