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arXiv · 1308.0267

Text Compression using Abstract Numeration System on a Regular Language

Ryoma Sin'ya
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Abstract

An abstract numeration system (ANS) is a numeration system that provides a one-to-one correspondence between the natural numbers and a regular language. In this paper, we define an ANS-based compression as an extension of this correspondence. In addition, we show the following results: 1) an average compression ratio is computable from a language, 2) an ANS-based compression runs in sublinear time with respect to the length of the input string, and 3) an ANS-based compression can be extended to block-based compression using a factorial language.

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Ryoma Sin'ya. 2013-09-22. Text Compression using Abstract Numeration System on a Regular Language. https://arxiv.org/abs/1308.0267

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