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citations to reliable sources. Unsourced material may be challenged and removed. (August 2008) (Learn how and when to remove this template error detection and correction codes message) In information theory and coding theory with applications in computer

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science and telecommunication, error detection and correction or error control are techniques that enable reliable delivery of error detection and correction hamming code digital data over unreliable communication channels. Many communication channels are subject to channel noise, and thus errors may be introduced during transmission from the source to a

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receiver. Error detection techniques allow detecting such errors, while error correction enables reconstruction of the original data in many cases. Contents 1 Definitions 2 History 3 Introduction 4 Implementation 5 Error detection schemes 5.1 Repetition codes 5.2 Parity bits 5.3 Checksums 5.4 Cyclic redundancy checks (CRCs) 5.5 Cryptographic hash functions 5.6 Error-correcting codes 6 error detection and correction in data communication Error correction 6.1 Automatic repeat request (ARQ) 6.2 Error-correcting code 6.3 Hybrid schemes 7 Applications 7.1 Internet 7.2 Deep-space telecommunications 7.3 Satellite broadcasting (DVB) 7.4 Data storage 7.5 Error-correcting memory 8 See also 9 References 10 Further reading 11 External links Definitions[edit] The general definitions of the terms are as follows: Error detection is the detection of errors caused by noise or other impairments during transmission from the transmitter to the receiver. Error correction is the detection of errors and reconstruction of the original, error-free data. History[edit] The modern development of error-correcting codes in 1947 is due to Richard W. Hamming.[1] A description of Hamming's code appeared in Claude Shannon's A Mathematical Theory of Communication[2] and was quickly generalized by Marcel J. E. Golay.[3] Introduction[edit] The general idea for achieving error detection and correction is to add some redundancy (i.e., some extra data) to a message, which receivers can use to check consistency of the delivered message, and to recover data

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signal. Whether it's a casual random cosmic ray or something less benign, errors creep in when data is transmitted from one computing device to another, error detection and correction in computer networks or even within the same device. If you view data storage on disks, DVDs and USB drives as transmissions from one device to another, they also suffer from errors. Yet unless the 'transmissions' are obviously degraded (if you run over an https://en.wikipedia.org/wiki/Error_detection_and_correction audio CD with your car, for example), we're completely unaware that these errors exist. Early error correction It wasn't always like this. Back in the late 1940s, Richard Hamming was a researcher at the Bell Telephone Company labs. He worked on an electromechanical computer called the Bell Model V, where input was provide on punched cards. The card reader would regularly have read errors, and there were routines that ran when this happened to alert the operators so they could correct the http://www.techradar.com/news/computing/how-error-detection-and-correction-works-1080736 problem. During the weekdays, that is. Unfortunately for Hamming, he could only get computer time at the weekends when there were no operators. The problem was magnified by the fact that the computer was designed to move on to the next computing job if no one corrected the errors. Hence, more often than not, his jobs were simply aborted and the weekend's computation was wasted. He resolved to do something about it and pretty much invented the science of digital error correction. At the time, there were no real error correction algorithms at all. Instead programmers relied on error detection - if you can detect that some data contains an error, at least you can ask for the data again. The simplest method of error detection was the addition of a parity bit to the data. Suppose you're transmitting seven-bit ASCII data across a link (and again, that link could be a form of data storage). The parity bit was an extra bit tacked onto the end of each seven bits that made the number of ones in the eight bits even (even parity) or odd (odd parity). For example, the letter J is 1001010 in seven-bit ASCII. It has three ones, so under even parity the extra bit would be one (to make 10010101 with four ones), and under odd parity the extra bit would be zero (making 10010100 with three ones). Looking aheadHow the PC of the future is closer than you thinkThe oth

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