Lempel-Ziv Algorithms. LZ77 (Sliding Window). Variants: LZSS (Lempel-Ziv- Storer-Szymanski); Applications: gzip, Squeeze, LHA, PKZIP, ZOO. LZ78 ( Dictionary. version of LZ77, called LZSS, and one improved version of LZ78, called LZW. The base of the LZ77 algorithm is a sliding window technique with two buffers, one. CULZSS algorithm proposed in [7] parallelizes the LZSS algorithm at two levels. The first level is to split the input data into equally sized chunks and each chunk.

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Through experimentation and reading, I’ve discovered that the methods used for string matching significantly impact encoding time. Archived from the original on For example, there would be one list of all the entries that start with ‘A’, and another of all the entries that start with ‘B’. The source code implementing a linked list search is contained in the version 0.

In general earlier versions are simpler maybe easier to follow and later versions are easier to use as libraries and better suited for projects taking advantage of the LGPL.

Information on downloading the source code for all of my LZSS implementations may be found here. For example, encoding a string from a dictionary of symbols, and allowing for matches of up to 15 symbols, will require 16 bits to store an offset and a length.

This web page attempts to discuss my implementation and the updates that have sporadically taken place since my original LZSS release. All of my versions use codes that are integral bytes, and each of my newer versions are algoruthm from my earlier versions so there is a lot of common design. In the examples I have seen, N is typically or and the maximum length allowed for matching strings is typically between 10 and 20 characters.


The source code implementing a binary tree search is contained in the file tree. The initial pass, will start by comparing string[0] to dictionary[0] algorihhm fail when it compares string[5] to algorith. The source code implementing a sequential search is contained in the version 0. It is intended that the dictionary reference should be shorter than the string it replaces.

LZSS Compression Functions

Previous versions closed the input file twice. A single character is only 8 bits. It must be opened. Archived on February 3, Repeat from Step 3, until all the entire input has been algorithhm.

By processing only bytes, there are no spare bits, os the EOF of the encoded dats is actually the EOF algoritm the encoded file. As with everything else that I’ve written, my LZSS lzsss left and still leaves room for improvement. Typically dictionaries contain an amount of symbols that can be represented by a whole power of 2. Uses new bit file library integer based get and put bits functions, making it easier to change the dictionary size.

The additional memory overhead required to implement a binary search tree is one pointer to the root of the tree plus three pointers for each symbol in the sliding window dictionary. So, to qlgorithm things simple, my first implementation used a brute force sequential search to match the string to be encoded to strings in the dictionary.

LZSS is a dictionary encoding technique. I don’t know who to credit with the discovery of this technique, but it allowed my version 0. Unlike the sequential search, when a search fails against a string in a node of a binary tree, the next comparison will start with the string at the root of the subtree that may contain a match.

Index O’Stuff

A binary search tree is another structure that is added to the dictionary to help speed up the search process. Based on the discussion above, encoding input requires the following steps: Decoding input requires the following steps: The sequential search algorithm moves through the dictionary one lass at a time, checking for matches to the first character in the string to be encoded.


The source code implementing the KMP algorithm is contained in the file kmp. A symbol dictionary would require 9 ,zss to represent all possible offsets. Explicitly license the library under LGPL version 3.

I also toyed with an in-memory implementation of the LZSS algorithm that preforms all encode and decode operations on arrays rather than files.

c – understanding this LZSS based decompression algorithm – Stack Overflow

However KMP attempts to use some information about the string we’re attempting apgorithm find a match for and the comparisons already made in order skip some comparisons that must fail. In their original LZ77 algorithm, Lempel and Ziv proposed that all strings be encoded as a length and offset, even strings with no match. In the case of a character alphabet, lists must be maintained.

This text takes bytes in uncompressed form. Unlike Huffman coding, which attempts to reduce the average amount of bits required to represent a symbol, LZSS attempts to replace a string of symbols with a reference to a dictionary location for the same string. A 16M algoritbm hash table doesn’t strike me as a viable solution.

Here is the beginning of Dr. With 4 bits, I can encode lengths of 0 through The sequential search algorithm moves through the dictionary one character at a time, checking for matches to the string being encoded. The partial match table for our example string is depicted below:.

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