Dynamic Shannon coding

  • Authors:
  • Travis Gagie

  • Affiliations:
  • Department of Computer Science, University of Toronto, Canada

  • Venue:
  • Information Processing Letters
  • Year:
  • 2007

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Abstract

We present the first algorithm for one-pass instantaneous coding which, given @?0 and a string S of length m over an alphabet of size n, is guaranteed to encode S using at most (H+1+1(2^@?-1)ln2)m+O(nlogm) bits (H denotes the 0th-order empirical entropy of S), a proportional length of time, and no codewords longer than logn+@?+1 bits.