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Topic: Error-correcting code


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Related Topics
ECC
SDH

  
 Error correction and detection - Wikipedia, the free encyclopedia
Information theory tells us that whatever be the probability of error in transmission or storage, it is possible to construct error-correcting codes in which the likelihood of failure is arbitrarily low, although this requires adding increasing amounts of redundant data to the original, which might not be practical when the error probability is very high.
Error correction and detection schemes find use in implementations of reliable data transfer over noisy transmission links, data storage media (including dynamic RAM, compact discs), and other applications where the integrity of data is important.
While the use of error correction and detection schemes are not limited only to sender-receiver systems, in discussing a particular scheme, it will be advantageous for us to use the terminology of a "sender" and a "receiver" for simplicity.
en.wikipedia.org /wiki/Error-correcting_code

  
 Code (disambiguation) - Wikipedia, the free encyclopedia
Code Blue is a medical jargon term used in the United States for certain types of critical medical emergency.
Source code is a text written by programmer in a programming language that is processed by a compiler to produce an executable program.
A code is a rule for converting a piece of information into another object or action, not necessarily of the same sort.
en.wikipedia.org /wiki/Code_(disambiguation)

  
 AllRefer.com - code, in communications (Language And Linguistics) - Encyclopedia
Audio data on a compact disc is digitally encoded and a special error correcting code is used to detect and correct errors that may have been introduced through manufacturing error or are created during the reading or playing process.
Morse code, consisting of a series of dots and dashes, or marks and spaces, is commonly used in telegraphy.
Certain arbitrary codes are used to ensure secrecy of communication; merely the message, without the rules by which the symbols are associated, will not provide an eavesdropper with an understandable version of it.
reference.allrefer.com /encyclopedia/C/code-com.html

  
 Error-correction - Wikipedia
Block error-correcting codes, like Hamming codes, and Reed-Solomon codes transform a chunk of bits into a (longer) chunk of bits in such a way that errors up to some threshold in each block can be detected and corrected.
Information theory tells us that whatever be the probability of error in transmission or storage, it is possible to construct error-correcting codes in which the likelihood of failure is arbitrarily low.
In computer science and information theory, error-correction consists of methods to detect and correct errors in the transmission or storage of data by the use of some amount of redundant data and (in the case of transmission) the selective retransmission of incorrect segments of that data.
www.web-dictionary.org /encyclopedia/er/Error_correction.html

  
 ecc.text
[3] MacWilliams, F., and N. Sloane, {\sl The Theory of Error-Correcting Codes\/.
Notice that the use of a code that will correct $t$ errors of an $n$-bit key effectively reduces the size of the key space by a factor of $2^{-t$, since the attacker need only recover $n - t$ bits and allow the error correction mechanism to supply the rest.
Our idea was to make it more difficult to force a key parity error by using the code to correct $t$ errors, and thus make it more difficult to recover the key.
math.isu.edu /~wolperj/ecc.text

  
 singson
The Hamming Code consists of codewords which are a distance 3 apart, meaning that they can exactly pinpoint the location of single-bit errors, as opposed to XOR, which provides codewords a distance of 2, and does not specify the supposed location of the error.
Corrections are done on the basis of the total unhappiness of the code.
The objective of the Spielman code is to eliminate unhappiness using XOR or Hamming.
zoo.cs.yale.edu /classes/cs490/96-97b/singson

  
 Learn more about Reed-Solomon error correction in the online encyclopedia.
The Reed-Solomon error correction is an error-correcting code which encodes blocks of n-bit symbols.
In the same sense that one can correct a curve by interpolating past a gap, a Reed-Solomon code can bridge a series of errors in a block of data to recover the coefficients of the polynomial that drew the original curve.
The key to application of Reed-Solomon codes was the invention of an efficient decoding algorithm by Elwyn Berlekamp, a professor of electrical engineering at the University of California, Berkeley.
www.onlineencyclopedia.org /r/re/reed_solomon_error_correction.html

  
 Error Correcting Code (ECC)
There are several different types of error correcting codes that have been invented over the years, but the type commonly used on PCs is the Reed-Solomon algorithm, named for researchers Irving Reed and Gustave Solomon, who first discovered the general technique that the algorithm employs.
Reed-Solomon codes are widely used for error detection and correction in various computing and communications media, including magnetic storage, optical storage, high-speed modems, and data transmission channels.
Errors that can be corrected using the redundant information are corrected before passing the data to the rest of the system.
www.pcguide.com /ref/hdd/geom/errorECC-c.html

  
 New error correcting code is included in Exchange Server 2003 SP1
A single-bit or bit flip error is a hardware-level occurrence where a single bit of data is changed from a zero to a one or from a one to a zero.
However, the single-bit error is not corrected in the database that exists on the hard disk.
Error -1018 is generated if the built-in integrity verification component in Exchange determines that Exchange could not correctly store or could not correctly retrieve Exchange database file data from the hard disk.
support.microsoft.com /kb/867626

  
 Error correcting code
An error correcting code or ECC is used in computer data storage, for example in dynamic RAM[?], and in data transmission.
The standard implementation can correct single-bit errors (single error correction[?] or SEC) and detect double-bit errors (double error detection[?] or DED[?]).
Multibit failure detection or correction methods exist, for example Chipkill[?] Correct.
www.wordlookup.net /er/error-correcting-code.html

  
 Least Squares and Estimation Measures via Error Correcting Output Code - Windeatt (ResearchIndex)
14 ectiveness of error correcting output codes in multiclass le..
Abstract: It is known that the Error Correcting Output Code (ECOC) technique can improve generalisation for problems involving more than two classes.
Ghaderi R Windeatt T. Least squares and estimation measures via error correcting output code.
citeseer.ist.psu.edu /windeatt01least.html

  
 BCH Codes
In fact, it can be proven thata single error-correcting BCH code is isomorphic to a Hamming Code, which is a single error correcting linear code.
If a codeword is received with a single error it will not be a solution to the system.
Therefore, any codeword received without an error will be a solution to this system.
www-math.cudenver.edu /~rrosterm/crypt_proj/node8.html

  
 .:SAKSIVC: Vedic Literature: Mathematics: Error correcting code: Error Correcting Method:.
Vedic Literature > Mathematics > Error correcting code > Error Correcting Method
.:SAKSIVC: Vedic Literature: Mathematics: Error correcting code: Error Correcting Method:.
There are also procedures which indicate that an error is there in the chanting, but cannot correct it.
www.vedah.com /org/literature/maths/errorCorrecting.asp

  
 DNA Error Correcting Codes
If a linear block error correcting code is present in DNA then some bases would be a linear function of the other bases in each set of bases.
The sequence of bases in DNA is also a digital code consisting of 4 symbols: A, C, G, and T. Does DNA also contain an error correcting code?
Such a code would allow repair enzymes to protect the fidelity of non-replicating DNA and increase the accuracy of replication.
www.ccs.fau.edu /~liebovitch/dna.html

  
 Real World Technologies - Error Correcting Memory - Part I
As a result, there is a need to design memory systems to locate and correct any errors that may occur while the data is stored in the memory system.
This article covers the techniques used to find and correct errors, while the second installment will cover the causes of memory errors and sample error rates.
This is the first of a two part article on error detection and correction for modern DRAM devices.
www.realworldtech.com /page.cfm?ArticleID=RWT121603153445&p=3

  
 Error Correcting Code in DVD
The capacity of DVD is increased by reducing data overhead by using advanced coding techniques: Reed-Solomon Product code (RS-PC) for error correction code and 8/16 Modulation (EFMPlus) for recording code.
In this paper, I will outline details of RS-PC (Reed-Solomon Product Code) used in DVD applications for error correction.
bass.gmu.edu /seminars/jung.htm

  
 The Error Correcting Codes (ECC) Page
This BCH code is used in control channels for cellular TDMA in the U.S. Since this code has only two-error correcting capability, fast decoding is done by pre-solving a system of two equations (the syndromes) in two unknowns (the error positions), see MacWilliams and Slone's book, chapter 3.
The purpose of this tutorial is to introduce the reader to a forward error correction technique known as convolutional coding with Viterbi decoding.
This BCH code is used in the POCSAG protocol specification for pagers.
www.eccpage.com

  
 What is ECC memory? - A Word Definition From the Webopedia Computer Dictionary
Short for Error-Correcting Code memory, a type of memory that includes special circuitry for testing the accuracy of data as it passes in and out of memory.
Describes the facilities available for doing error detection and correction and discusses what some of the important factors are.
Covers technology types, memory speed and timing, packaging, error detection and correction, and the logical memory layout.
www.webopedia.com /TERM/E/ECC_memory.html

  
 ECC Technologies, Inc.
Scalable byte width, number of errors and erasures, amount of redundancy, block length, interleaving depth
Licensing Forward Error Correction (FEC, ECC) for Data Communications and Storage:
ECC designs compliant to IEEE 802.16 wireless standard (WirelessMAN) now available for licensing.
members.aol.com /mnecctek

  
 Approximability of Optimization Problems 10 - Error Correcting Code (ECC) (ResearchIndex)
Let, Block length of the code = Length of the strings in C = n.
Let, Information content of the code = Length of the message = k.
Let m 1 and m 2 be two distinct messages.
citeseer.ist.psu.edu /249742.html

  
 Guy's Scripting Ezine number 54 - Error Correcting Code
To let you into another secret, writing error correcting scripts has been gnawing away at the back of my mind for months.
Note 4: err.clear it is good practice to reset the error so that it does not interfere with subsequent lines of code.
Consider this page as a template which you can adjust for other error correcting scenarios.
www.computerperformance.co.uk /ezine/ezine54.htm

  
 Joseph Malkevitch: Error Correcting Code Bibliography
MacWilliams, F. and N. Sloane, N., The Theory of Error-correcting Codes, North-Holland, Amsterdam, l977.
Berlekamp, E., Algebraic Coding Theory, McGraw-Hill, New York, l968.
Vermani, L., Elements of Algebraic Coding Theory, Chapman and Hall, London, 1996.
www.york.cuny.edu /~malk/biblio/error-correct-codes-biblio.html

  
 David MacKay: Error-Correcting Codes: PEG codes
This construction has proved to produce the best known Gallager codes, and is especially significant for small blocklengths such as 500, 1000, or 2000.
Examples of rate-1/2 codes constructed in this way can be found in the Encyclopedia of Sparse Graph Codes.
Example PEG codes included in the encyclopedia are as follows:
www.inference.phy.cam.ac.uk /mackay/PEG_ECC.html

  
 Memory upgrades from Crucial.com - Glossary of terms
If one is even and one is odd, there is an error, and typically the system will fail.
It is like saying that all the bits along one row are all on the same page, and the part will assume the same page is intended until a different page is specified.
A type of ball grid array in which the package is roughly the size of the die.
www.crucial.com /library/glossary.asp

  
 Introns 1
Both the degeneracy of the genetic code allowing changes in codons without changing the corresponding amino acid, and exchanges between amino acids of similar function, might mask the conflict.
Stem-loop potential is held to be selectively advantageous since it promotes the recombination-dependent correction of genetic errors.
In the 1950s it was found that much RNA freshly synthesized in the nucleus was locally degraded and did not reach the cytoplasm.
mail.queensu.ca /~forsdyke/introns1.htm

  
 Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
We present a quantum error correction code which protects a qubit of information against general one qubit errors.
To accomplish this, we encode the original state by distributing quantum information over five qubits, the minimal number required for this task.
Availability information may be found in the Availability, Publisher, Research Organization, Resource Relation and/or Author (affiliation information) fields and/or via the "Full-text Availability" link.
www.osti.gov /energycitations/product.biblio.jsp?osti_id=286044

  
 Error Correcting Code in Assembler ?
RSCode [ http://freshmeat.net/projects/rscode/ ] Definition: RSCode is a Reed-Solomon error-correcting encoder / decoder library written in C. Code Files [ http://www.inference.phy.cam.ac.uk/mackay/CodesFiles.html ] Specifically, the following two files: http://www.inference.phy.cam.ac.uk/mackay/code/MNC.tar.gz http://www.inference.phy.cam.ac.uk/mackay/code/code.tar.gz 3.
The_Sage Error Correcting Code in Assembler ?
The other day, while I not exactly looking for anything, I found something interesting....
www.talkaboutprogramming.com /group/alt.lang.asm/messages/50569.html

  
 PCGuide - Ref - Hard Disk Error Management and Recovery
PCGuide - Ref - Hard Disk Error Management and Recovery
It seems that either your browser does not support frames, or you have them disabled.
Please read the Site Guide before using this material.
www.pcguide.com /ref/hdd/geom/error_ECC.htm

  
 news@nature
A parity code interpretation of nucleotide alphabet composition
Get information on institutional site license access here
www.nature.com /nsu/020916/020916-4.html

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