Rolling Hash C++ Library
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Latest commit 7af6ad9 Aug 14, 2017 @lemire Fixing example.

Randomized rolling hash functions in C++

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License: Apache 2.0

What is this?

This is a set of C++ classes implementing various recursive n-gram hashing techniques, also called rolling hashing (, including:

  • Randomized Karp-Rabin (sometimes called Rabin-Karp)
  • Hashing by Cyclic Polynomials (also known as Buzhash)
  • Hashing by Irreducible Polynomials

Code sample

    const uint n(3);//hash all sequences of 3 characters
    const uint L(7); // you need 7 bits
    CyclicHash<uint32> hf(n,L );// if you want 64-bit values replace uint32 by uint64
    for(uint32 k = 0; k<n;++k) {
              chartype c = ... ; // grab some character
    ; // feed it to the hasher
    while(...) { // go over your string
       hf.hashvalue; // at all times, this contains the hash value
       chartype c = ... ;// point to the next character
       chartype out = ...; // character we want to forget
       hf.update(out,c); // update hash value


A recent GNU GCC C++ compiler or a recent CLANG.

What should I do after I download it?








  • Daniel Lemire, Owen Kaser: Recursive n-gram hashing is pairwise independent, at best, Computer Speech & Language, Volume 24, Issue 4, October 2010, Pages 698-710
  • Daniel Lemire, The universality of iterated hashing over variable-length strings, Discrete Applied Mathematics 160 (4-5), 2012.
  • Owen Kaser and Daniel Lemire, Strongly universal string hashing is fast, Computer Journal (2014) 57 (11): 1624-1638.

This work has been used in genomics, see