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Richard Pinch.
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Coding theory: the first 50 years Plus terms of use search plus with google home latest issue explore the archive careers library news 1997-2004, Millennium Mathematics Project, University of Cambridge. Permission is granted to print and copy this page on paper for non-commercial use. For other...By E. F. Assmus, Jr. Summarises ideas and theorems contained in a series of papers with J.D. Key.
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Introduction: The coding theory of finite geometries and designs The coding theory of finite geometries and designs by E. F. Assmus, Jr. I would like to summarize a few of the more important ideas and theorems contained in a series of four papers, the result of joint work with...By N. J. A. Sloane.
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Linear (and Nonlinear) Codes Comments or contributions of further codes welcomed. The main references include: The chapter on Self-Dual Codes, by E. M. Rains and N. J. A. Sloane 140 pages Handbook of Coding Theory, V. S. Pless, W. C. Huffman and R. A....Huffman trees and Fibonacci numbers, by Alex Vinokur.
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Alex Vinokur's Welcome Page Alex Vinokur's Welcome Page Free Web Hosting Provider Web Hosting E-commerce High Speed Internet Free Web Page Photo Sharing Popular Searches: Alex Vinokur's Site Visitors since May 09, 2001...Principles, architecture and implementation.
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reed-solomon codes Low bit rate video case study Reed-Solomon Coding Tutorial ADSL Tutorial Reed-Solomon Codes An introduction to Reed-Solomon codes: principles, architecture and implementation 1. Introduction Reed-Solomon codes are block-based error correcting codes with a wide range of applications in digital communications...J.E.H. Shaw.
http://www.warwick.ac.uk/statsdept/Staff/JEHS/jehcode.htm
Web lecture notes by Adina Matache, University of Washington.
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Encoding/Decoding Reed Solomon Codes Next: Outline Encoding/Decoding Reed Solomon Codes Adina Matache Department of Electrical Engineering University of Washington Outline Galois Field Arithmetic Polynomials over Galois Fields Construction of Galois Field GF(2^m) Nonbinary BCH and Reed-Solomon Codes Systematic Form Encoding Decoding Reed-Solomon Codes Berlekamp's...Article by E.F. Assmus Jr.
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Abstract, Introduction and ToC: On the Reed-Muller codes We give a brief but complete account of all the essential facts concerning the Reed-Muller and punctured Reed-Muller codes. The treatment is new and includes an easy, direct proof of the fact that the punctured Reed-Muller codes are the codes...Lecture notes from a course taught by Jean Berstel and Dominque Perrin.
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CodesTheory of Codes La ralisation de la version actuelle du texte a bnfici du concours de diverses personnes. Tout d'abord, le passage du texte de dpart au scanner et sa mise en forme prliminaire ont t raliss l'Universit de Marne la Valle grce...By Alistair Moffat.
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The Arithmetic Coding Page Source code for the arithmetic coding routines described by Moffat, Neal, and Witten Arithmetic Coding Revisited ACM Transactions on Information Systems, 16(3):256-294, July 1998, and the modified cumulative statistics structure described in An Improved Data Structure for Cumulative Probability Tables...Online demonstration by David Mackay.
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Iterative Probabilistic Decoding of a Low Density Parity Check Code We find these codes to perform substantially better than standard textbook codes MacKay and Neal, 1995/6/7) Demonstration number 1: rate 1/2 code, binary symmetric channel We demonstrate a rate 1/2 code which encodes K=10000 bits into N=20000 bits. The source...D.A. Leonard. One in a series of snapshots of applications of discrete mathematics to other parts of mathematics.
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No Title One in a series of snapshots of applications of discrete mathematics to other parts of mathematics. D. A. Leonard Auburn University The Context The application of algebraic geometry to coding theory started in the 80's with the work of Goppa...Bell System Technical Journal, April 1950.
http://www.engelschall.com/u/sb/hamming/
By Barry Cipra, SIAM News, January 1993.
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The Ubiquitous Reed-Solomon Codes Just as architects design buildings that will remain standing even through an earthquake, their computer counterparts have come up with sophisticated techniques capable of counteracting the digital manifestations of Murphy's Law. What many might be unaware of, though, is the...Applications of Reed-Solomon codes.
http://www.csdmag.com/main/1999/06/9906building.htm
A short explanation of Goppa codes by J. W. P. Hirschfeld.
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No Title One in a series of snapshots of applications of discrete mathematics to other parts of mathematics. J. W. P. Hirschfeld University of Sussex United Kingdom The Context In 1981, Goppa derived a class of linear codes from algebraic curves over...Links at the Department of Telecommunications, University of Bremen.
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Research: Channel Coding for Mobile Communications, ANT, Universität Bremen Digital data transmission suffers from channel influence: Severe (multipath) fading in terrestrial mobile radio communications Very low signal-to-noise ratio for satellite communications due to high path loss and limited transmit power in the downlink Compressed data (e.g. audio and video...National Science Foundation, April 17-18, 1997.
http://www.nsf.gov/pubs/1998/nsf9814/nsf9814.htm
By J.I. Hall (PDF). Please contact the author before making use of them.
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Notes on Coding Theory These notes are not intended for broad distribution. If you want to use them in any way, please contact me. To see various of the subscripts or superscripts properly, you may need to increase magnification or print out the appropriate...Hypertext bibliography containing all papers published in Designs, Codes and Cryptography, maintained by David M Jones.
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Bibliography of Designs, Codes and Cryptography Number of online publications:0Supported:no Most recent reference:May 1998 Query: in any author title field; Publication year: in since before four digit years) Options: Results as Citation Results in BibTeX 10 results per page 40 results per page 100 results per...Publications, peoples and source code for entropy coding.
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Entropy Coding (EC) The process of entropy coding (EC) can be split in two parts: modeling and coding. Modeling assigns probabilities to the symbols, and coding produces a bit sequence from these probabilities. As established in Shannon's source coding theorem, there is a...Thesis by Stefan Hoest. Woven convolutional codes are attractive alternatives to turbo codes.
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Thesis The members of the committee were Professor Martin Bossert from Ulm (Germany Professor Jrn Justesen from Lyngby (Denmark and Ph.D. Niclas Wiberg from Linkping (Sweden Professor Eric Paaske from Lyngby served as substitute member of the committee. Download the thesis...A Java applet demonstrating the use of error-correcting codes on DVDs.
http://www.mat.dtu.dk/info/experiencing/err_corr_codes/