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Burrows–Wheeler transform

Tools that apply Burrows-Wheeler algorithm. Burrows-Wheeler transform (BWT) is an algorithm maximizing repeated letters in a text, which is useful in data compression.

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Burrows–Wheeler transform -

Tag(s) : Compression,Algorithm

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Burrows–Wheeler transform

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BWT Decompress




BWT Compress



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Tools that apply Burrows-Wheeler algorithm. Burrows-Wheeler transform (BWT) is an algorithm maximizing repeated letters in a text, which is useful in data compression.

Answers to Questions

How to encrypt using BWT cipher?

BWT ciphering rearranges letters in the message.
The first step consists in listing all possible rotations the the message:

DECODE, EDECOD, DEDECO, ODEDEC, CODEDE, ECODED

and sort this list in alphabetical order

CODEDE, DECODE, DEDECO, ECODED, EDECOD, ODEDEC

The ciphered message is constituted of the last letters of each rotation : EEODDC and the key is the rank of the original message here 2 (DECODE is in position 2).

NB : dCode ignores all characters other than letters and digits, replacing them by a dot .

How to decrypt BWT cipher?

Decryption requires to know the key and the ciphered message.

EEODDC, clé 2

Do decrypt, one has to imagine an empty table, and to repeat the following algorithm as many times as the number of letter in the message:

1) Write the message in the first column of the table (shifting the others columns) and 2) sort the lines of the table by alphabetic order

When achieved, the plain text is at the line number key of the table: DECODE

How to recognize BWT ciphered text?

The ciphered message has a high number of repeated letters and a classic index of coincidencehref.

How to decipher BWT without key?

The key is not really important for intelligible text, because when decrypting, all lines of the table are in fact rotations of the original text.

What are the variants of the BWT cipher?

BWT can be used without key, but in this case, one has to know a unique character of the original text and its position, for instance in computer one uses EOF for last one.

When BWT have been invented?

In 1994 by Michael Burrows and David Wheeler

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