Computer Science – Data Structures and Algorithms
Scientific paper
2008-11-21
Computer Science
Data Structures and Algorithms
10 pages
Scientific paper
In this paper we study the adaptive prefix coding problem in cases where the size of the input alphabet is large. We present an online prefix coding algorithm that uses $O(\sigma^{1 / \lambda + \epsilon}) $ bits of space for any constants $\eps>0$, $\lambda>1$, and encodes the string of symbols in $O(\log \log \sigma)$ time per symbol \emph{in the worst case}, where $\sigma$ is the size of the alphabet. The upper bound on the encoding length is $\lambda n H (s) +(\lambda \ln 2 + 2 + \epsilon) n + O (\sigma^{1 / \lambda} \log^2 \sigma)$ bits.
Gagie Travis
Karpinski Marek
Nekrich Yakov
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