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arXiv · 1911.06985

Constructing the Bijective and the Extended Burrows-Wheeler Transform in Linear Time

Hideo Bannai·Juha Kärkkäinen·Dominik Köppl·Marcin Picatkowski
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Abstract

The Burrows-Wheeler transform (BWT) is a permutation whose applications are prevalent in data compression and text indexing. The bijective BWT (BBWT) is a bijective variant of it. Although it is known that the BWT can be constructed in linear time for integer alphabets by using a linear time suffix array construction algorithm, it was up to now only conjectured that the BBWT can also be constructed in linear time. We confirm this conjecture by proposing a construction algorithm that is based on SAIS, improving the best known result of $O(n \lg n /\lg \lg n)$ time to linear.

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Hideo Bannai, Juha Kärkkäinen, Dominik Köppl, Marcin Picatkowski. 2019-11-16. Constructing the Bijective and the Extended Burrows-Wheeler Transform in Linear Time. https://arxiv.org/abs/1911.06985

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