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Katolog > Science > Math > Applications > Communication Theory > Coding Theory


Coding Theory is the mathematical study of error-detection and error-correction in communication systems.
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Links:

Coding Theory: the First 50 Years
http://pass.maths.org.uk/issue3/codes/

Coding Theory: the First 50 Years

Richard Pinch.
pass.maths.org.uk/issue3/codes
The Coding Theory of Finite Geometries and Designs
http://www.lehigh.edu/efa0/public/www-data/rometoc.html

The Coding Theory of Finite Geometries and Designs

By E. F. Assmus, Jr. Summarises ideas and theorems contained in a series of papers with J.D. Key.
www.lehigh.edu/efa0/public/www-data/rometoc.html
A Library of Linear (and Nonlinear) Codes
http://akpublic.research.att.com/~njas/codes/

A Library of Linear (and Nonlinear) Codes

By N. J. A. Sloane.
akpublic.research.att.com/~njas/codes
Analysis and Implementations of Huffman Coding
http://alexvn.freeservers.com/s1/

Analysis and Implementations of Huffman Coding

Huffman trees and Fibonacci numbers, by Alex Vinokur.
alexvn.freeservers.com/s1
Source Coding and Data Compression
http://www.hn.is.uec.ac.jp/~arimura/compression_links.html

Source Coding and Data Compression

Mitsuharu Arimura's bookmarks.
www.hn.is.uec.ac.jp/~arimura/compression_links.html
Reed-Solomon Codes
http://www.4i2i.com/reed_solomon_codes.htm

Reed-Solomon Codes

Principles, architecture and implementation.
www.4i2i.com/reed_solomon_codes.htm
Coding Theory Overview
http://www.warwick.ac.uk/statsdept/Staff/JEHS/jehcode.htm

Coding Theory Overview

J.E.H. Shaw.
www.warwick.ac.uk/statsdept/Staff/JEHS/jehcode.htm
Encoding and Decoding Reed/Solomon Codes
http://www.ee.ucla.edu/~matache/rsc/slide.html

Encoding and Decoding Reed/Solomon Codes

Web lecture notes by Adina Matache, University of Washington.
www.ee.ucla.edu/~matache/rsc/slide.html
On the Reed-Muller Codes
http://www.lehigh.edu/efa0/public/www-data/vanlinttoc.html

On the Reed-Muller Codes

Artcile by E.F. Assmus Jr.
www.lehigh.edu/efa0/public/www-data/vanlinttoc.html
Theory of Codes
http://www-igm.univ-mlv.fr/~berstel/LivreCodes/Codes.html

Theory of Codes

Lecture notes from a course taught by Jean Berstel and Dominque Perrin.
www-igm.univ-mlv.fr/~berstel/LivreCodes/Codes.html
The Arithmetic Coding Page
http://www.cs.mu.oz.au/~alistair/arith_coder/

The Arithmetic Coding Page

By Alistair Moffat.
www.cs.mu.oz.au/~alistair/arith_coder
Iterative Probabilistic Decoding of a Low Density Parity Check Code
http://wol.ra.phy.cam.ac.uk/mackay/codes/gifs/Welcome.html

Iterative Probabilistic Decoding of a Low Density Parity Check Code

Online demonstration by David Mackay.
wol.ra.phy.cam.ac.uk/mackay/codes/gifs/Welcome.html
Coding Theory, Algebraic Geometry and Gröbner Bases
http://www.dms.auburn.edu/~rodgec1/cadcom/mathappl/leonsnap/leonsnap.html

Coding Theory, Algebraic Geometry and Gröbner Bases

D.A. Leonard. One in a series of snapshots of applications of discrete mathematics to other parts of mathematics.
www.dms.auburn.edu/../cadcom/mathappl/leonsnap/leonsnap.html
R.W. Hamming - Error Detecting and Error Correcting Codes
http://www.engelschall.com/u/sb/hamming/

R.W. Hamming - Error Detecting and Error Correcting Codes

Bell System Technical Journal, April 1950.
www.engelschall.com/u/sb/hamming
The Ubiquitous Reed-Solomon Codes
http://www.siam.org/siamnews/mtc/mtc193.htm

The Ubiquitous Reed-Solomon Codes

By Barry Cipra, SIAM News, January 1993.
www.siam.org/siamnews/mtc/mtc193.htm
Building Blocks
http://www.csdmag.com/main/1999/06/9906building.htm

Building Blocks

Applications of Reed-Solomon codes.
www.csdmag.com/main/1999/06/9906building.htm
Coding Theory and Algebraic Geometry: an Interplay
http://www.dms.auburn.edu/~rodgec1/cadcom/mathappl/hirssnap/hirssnap.html

Coding Theory and Algebraic Geometry: an Interplay

A short explanation of Goppa codes by J. W. P. Hirschfeld.
www.dms.auburn.edu/../cadcom/mathappl/hirssnap/hirssnap.html
Error-Control Coding
http://www.comm.uni-bremen.de/research/coding/

Error-Control Coding

Links at the Department of Telecommunications, University of Bremen.
www.comm.uni-bremen.de/research/coding
Report of the Working Group on Cryptology and Coding
http://www.nsf.gov/pubs/1998/nsf9814/nsf9814.htm

Report of the Working Group on Cryptology and Coding

National Science Foundation, April 17-18, 1997.
www.nsf.gov/pubs/1998/nsf9814/nsf9814.htm
Notes on Coding Theory
http://www.mth.msu.edu/~jhall/classes/codenotes/coding-notes.html

Notes on Coding Theory

By J.I. Hall (PDF). Please contact the author before making use of them.
www.mth.msu.edu/~jhall/classes/codenotes/coding-notes.html
Designs, Codes and Cryptography Bibliography
http://liinwww.ira.uka.de/bibliography/Misc/HBP/DCC.html

Designs, Codes and Cryptography Bibliography

Hypertext bibliography containing all papers published in Designs, Codes and Cryptography, maintained by David M Jones.
liinwww.ira.uka.de/bibliography/Misc/HBP/DCC.html
Entropy Coding
http://www.data-compression.info/Algorithms/EC/

Entropy Coding

Publications, peoples and source code for entropy coding.
www.data-compression.info/Algorithms/EC
On Woven Convolutional Codes
http://www.it.lth.se/stefanh/Thesis/

On Woven Convolutional Codes

Thesis by Stefan Hoest. Woven convolutional codes are attractive alternatives to turbo codes.
www.it.lth.se/stefanh/Thesis
Reed Solomon Encoding and Decoding in DVD
http://www.mat.dtu.dk/info/experiencing/err_corr_codes/

Reed Solomon Encoding and Decoding in DVD

A Java applet demonstrating the use of error-correcting codes on DVDs.
www.mat.dtu.dk/info/experiencing/err_corr_codes

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