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Parity-check matrix
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21	Chapter 3 Linear Codes In order to define codes that we can encode and decode efficiently, we add more structure to the codespace. We shall be mainly interested in linear codes. A linear code of length n over the field Add to Reading List Source URL: www.mth.msu.edu Language: English - Date: 2012-08-31 11:04:32 Linear code Generator matrix Hamming code Dual code Reed–Solomon error correction Hamming Singleton bound Matrix Low-density parity-check code Coding theory Mathematics Notation
22	Chapter 4 Hamming Codes In the late 1940’s Claude Shannon was developing information theory and coding as a mathematical model for communication. At the same time, Richard Hamming, a colleague of Shannon’s at Bell L Add to Reading List Source URL: www.mth.msu.edu Language: English - Date: 2012-08-31 11:04:32 Mathematics Linear code Hamming code Reed–Muller code Generator matrix Hamming Dual code Gilbert–Varshamov bound Low-density parity-check code Coding theory Information theory Discrete mathematics
23	Code-based Cryptography Christiane Peters Add to Reading List Source URL: christianepeters.files.wordpress.com Language: English - Date: 2012-10-11 17:39:42 Notation Information Linear code McEliece cryptosystem Parity-check matrix Generator matrix Hamming code Reed–Muller code Reed–Solomon error correction Coding theory Error detection and correction Mathematics
24	EE 387, John Gill, Stanford University Notes #3, October 15, Handout #8 Add to Reading List Source URL: www.stanford.edu Language: English - Date: 2012-10-15 13:09:02 Linear code Parity-check matrix Hamming code Generator matrix Cyclic code Standard array Hamming Reed–Solomon error correction BCH code Coding theory Mathematics Notation
25	Coding Theory Massoud Malek Add to Reading List Source URL: www.mcs.csueastbay.edu Language: English - Date: 2009-03-05 04:13:43 Information Telecommunications engineering Hamming Forward error correction Parity bit Cyclic code Parity-check matrix Linear code Hadamard code Coding theory Error detection and correction Mathematics
26	Design of LDPC codes • • Add to Reading List Source URL: www.ii.uib.no Language: English - Date: 2006-11-03 03:48:16 Data modeling Graph theory Tanner graph Error detection and correction Finite fields Graph Low-density parity-check code Cyclic Circulant matrix Mathematics Coding theory Algebra
27	1962 IRE Add to Reading List Source URL: www.sps.ele.tue.nl Language: English - Date: 2002-10-15 04:58:05 Mathematics Information Low-density parity-check code Decoding methods Noisy-channel coding theorem Parity-check matrix Check digit Binary symmetric channel Forward error correction Coding theory Error detection and correction Discrete mathematics
28	Foreword This chapter is based on lecture notes from coding theory courses taught by Venkatesan Guruswami at University at Washington and CMU; by Atri Rudra at University at Buffalo, SUNY and by Madhu Sudan at MIT. Add to Reading List Source URL: www.cse.buffalo.edu Language: English - Date: 2013-02-17 20:02:18 Discrete mathematics Linear code Parity-check matrix Hamming code Generator matrix Rank Hamming Matrix Basis Coding theory Mathematics Algebra
29	notes7.dvi Add to Reading List Source URL: www.stanford.edu Language: English - Date: 2012-11-16 13:31:42 Mathematics Finite fields BCH code Cyclic code Reed–Solomon error correction Polynomial code Primitive polynomial Vandermonde matrix Parity-check matrix Coding theory Algebra Error detection and correction
30	PDF Document Add to Reading List Source URL: www.cse.buffalo.edu Language: English - Date: 2010-02-07 22:40:27 Notation Theoretical computer science Linear code Hadamard code Hamming Generator matrix Parity-check matrix Forward error correction List decoding Coding theory Error detection and correction Mathematics