Gourt > Science > Math > Applications > Communication Theory > Coding Theory (11)
Coding theory is a branch of mathematics and computer science dealing with the error-prone process of transmitting data across noisy channels, via clever means, so that a large number of errors that occur can be corrected. It also deals with the properties of codes, and thus with their fitness for a specific application.
There are two classes of codes.
- Source coding (Entropy encoding)
- Channel coding (Forward_error_correction)
Compression Algorithms
Combinatorics :: Math
What is What in the Nanoworld: A Handbook on Nanoscience and Nanotechnology, 2nd, Revised and Enlarged Edition
Victor E. Borisenko, Stefano Ossicini Mon, 13 Oct 2008 04:00:00 -0000
The second, completely revised and enlarged edition of What is What in the Nanoworld summarizes the terms and definitions, most important phenomena, and regulations occurring in the physics, chemistry, technology, and application of nanostructures. A representative collection of fundamental terms and definitions from quantum physics and chemistry, special mathematics, organic and inorganic chemistry, Read More...
Statistical Methods in e-Commerce Research
Wolfgang Jank, Galit Shmueli Mon, 29 Sep 2008 04:00:00 -0000
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A Library of Linear (and Nonlinear) Codes - By N. J. A. Sloane.
Analysis and Implementations of Huffman Coding - Huffman trees and Fibonacci numbers, by Alex Vinokur.
Building Blocks - Applications of Reed-Solomon codes.
Coding Theory and Algebraic Geometry: an Interplay - A short explanation of Goppa codes by J. W. P. Hirschfeld.
Coding Theory Overview - J.E.H. Shaw.
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.
Coding Theory: the First 50 Years - Richard Pinch.
Meta Description: [ Space probes, like NASA's recent Pathfinder mission to Mars, have radio
transmitters of only a few watts, but have to transmit pictures and
scientific data across hundreds of millions of miles without the
information being completely swamped by noise. Read about how coding
theory helps.
]
Designs, Codes and Cryptography Bibliography - Hypertext bibliography containing all papers published in Designs, Codes and Cryptography, maintained by David M Jones.
Meta Description: [ Bibliography of "Designs, Codes and Cryptography". This bibliography is a part of the Computer Science Bibliography Collection. ]
Encoding and Decoding Reed/Solomon Codes - Web lecture notes by Adina Matache, University of Washington.
Meta Description: [ Encoding/Decoding Reed Solomon Codes ]
Entropy Coding - Publications, peoples and source code for entropy coding.
Error-Control Coding - Links at the Department of Telecommunications, University of Bremen.
Meta Description: [ Research Project Channel Coding at the Department of
Communications Engineering at the University of Bremen ]
Iterative Probabilistic Decoding of a Low Density Parity Check Code - Online demonstration by David Mackay.
Notes on Coding Theory - By J.I. Hall (PDF). Please contact the author before making use of them.
404
On the Reed-Muller Codes - Article by E.F. Assmus Jr.
On Woven Convolutional Codes - Thesis by Stefan Hoest. Woven convolutional codes are attractive alternatives to turbo codes.
R.W. Hamming - Error Detecting and Error Correcting Codes - Bell System Technical Journal, April 1950.
Reed Solomon Encoding and Decoding in DVD - A Java applet demonstrating the use of error-correcting codes on DVDs.
Reed-Solomon Codes - Principles, architecture and implementation.
Meta Description: [ Reed-Solomon codes information source. Everything you ever wanted to know about Reed-Solomon error correction codes from 4i2i. ]
Report of the Working Group on Cryptology and Coding - National Science Foundation, April 17-18, 1997.
Source Coding and Data Compression - Mitsuharu Arimura's bookmarks.
The Arithmetic Coding Page - By Alistair Moffat.
404
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.
The Ubiquitous Reed-Solomon Codes - By Barry Cipra, SIAM News, January 1993.
Theory of Codes - Lecture notes from a course taught by Jean Berstel and Dominque Perrin.
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