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Probability Of Undetected Error Reed Solomon

Selinger (talk) 02:13, 15 March 2008 (UTC) I like in general the idea of explaining erasure as an error at a known location. Rcgldr (talk) 18:00, 19 October 2011 (UTC) "Low order" isn't a standard mathematical term, AFAIK, but I guess the meaning should be clear. The proposition of interest is usually of the form "Will a specific event occur?" The attitude of mind is of the form "How certain are we that the event will occur?" Compatible doesn't seem to be a standard term for what you're doing, for example, and I thought the term nibble died 20 years ago. check my blog

I didn't want to change the entire Reed Solomon article. The first check after the loop: if (degree_of(Si))!= (-1+degree_of(Ai)) then it's failed. The code word (encoded word) will be n symbols long. A channel is used to convey an information signal, for example a digital bit stream, from one or several senders (or transmitters) to one or several receivers. http://authors.library.caltech.edu/29326/

Oli Filth(talk|contribs) 21:55, 21 April 2010 (UTC) Thanks, I was just about to do the same. The probability that an error turns it into the sphere of another codeword is already marginal (specifically it is at most 10-5 for a standard (255,223) RS code for any given That's why there is this simple notation of GF(size).

By trial and error? rgreq-b58e1c86e57bd872d9ce112f3cc9ce43 false Skip to MainContent IEEE.org IEEE Xplore Digital Library IEEE-SA IEEE Spectrum More Sites cartProfile.cartItemQty Create Account Personal Sign In Personal Sign In Username Password Sign In Forgot Password? Oli Filth(talk) 15:43, 22 July 2008 (UTC) While A single sided impulse in time is a complex exponential in the frequency domain, the sketch shows a square wave in the time This proves analytically that P(E)u indeed approaches Q as u becomes large, and that some laws of large number come into play.

Meanwhile, I have great eagerness to comminicate and discuss with others about ECC especially Reed-Solomon codes. Thanks for catching this, as I didn't think anyone was following this article anymore. Institutional Sign In By Topic Aerospace Bioengineering Communication, Networking & Broadcasting Components, Circuits, Devices & Systems Computing & Processing Engineered Materials, Dielectrics & Plasmas Engineering Profession Fields, Waves & Electromagnetics General Source The issue is addition and subtraction (or exclusive or for binary based fields), where αi + αj = αk and αk - αj = αi hold true for the same i,

Please try the request again. Generated Mon, 24 Oct 2016 10:15:52 GMT by s_nt6 (squid/3.5.20) I think the term Forney syndrome is used for this method of erasure processing. The feedback coefficients of this shift register are the coefficients of the error locator polynomial. - That's not how it's described in the wiki article or any text (or actual implementation)

  1. Talk:Reed–Solomon error correction From Wikipedia, the free encyclopedia Jump to: navigation, search WikiProject Telecommunications (Rated C-class, Mid-importance) TelecommunicationsWikipedia:WikiProject TelecommunicationsTemplate:WikiProject TelecommunicationsTelecommunications articles Telecommunication portal v t e This article is within the
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  3. BCD is how Cobol's packed decimal would be stored on most computers.
  4. So really, an erasure is an information about the meaningfulness of a symbol at given position, not an indication that it's an error.
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  6. While it must hold that βj + βj = 0 for any j I'd be interested to see such an addition table.
  7. Thus, a 'k' stream of symbols (message) is turned into a 'n' stream of symbols (code).
  8. Lrq3000 (talk) 00:19, 24 June 2015 (UTC) Graphs[edit] As I'm an utter programming layman(though one with a good intuition for math/logic), the concept was totally unclear until I hit the last
  9. Rcgldr (talk) 10:58, 26 October 2011 (UTC) Other algorithms used for RS codes - hardware inversion[edit] Here's an example table in powers

Each register holds two values, the current remainder on the left, and a reversed polynomial (built up using the quotient values from the remainder divisions) on the right, that ends up http://escholarship.org/uc/item/6051p7qf Generated Mon, 24 Oct 2016 10:15:52 GMT by s_nt6 (squid/3.5.20) ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.10/ Connection MartinekJ. Your explanation is that of an error-prone decoding process that has some serious logical flaws as to how the process occurs - I would suggest you read-up on the issue.

WilliamSommerwerck (talk) 16:16, 4 June 2011 (UTC) You, too, would do a lot better spending time on making these article easily understood instead of calling other well-meaning editors idiots! click site And do you think this is a civil discussion in any way from your side that you simple revert again? Rcgldr (talk) 08:33, 26 October 2011 (UTC) So you require that the binary representation of all field members is (essentially) the same for both fields? (It could be bit-inverted, or... For each of the 3 possible GF(24) defining polynomials, hex 13, 19, or 1F, there are 64 possible fields that could be used to map a specific GF(28) to a specific

The purpose of this paper is to give bounds on the parameters for codes that are not good for error detection. morefromWikipedia Channel (communications) In telecommunications and computer networking, a communication channel, or channel, refers either to a physical transmission medium such as a wire, or to a logical connection over a Nageh (talk) 21:39, 20 April 2010 (UTC) (Edit: Nageh (talk) 21:48, 20 April 2010 (UTC)) Perhaps I've missed some crucial point, but otherwise, of course there are error polynomials that will news Then I start with an arrary of 256 bytes, hex 00 to hex ff and consider each byte to be a pair of nibbles a and b SIGN IN SIGN UP

Also, I don't think the article needs to include every possible implementation method, because that will start to get confusing and unwieldy. RSPC has the advantages of high error correction capabilities and high code rate. User: Karn Just a minor point: of course the concept of "erasure" is also meaningful for binary codes.

You just drew a nice smooth curve.

coding ... Take the cleartext word you want to transmit, perhaps "123". The real projection of this is indeed a cosinusoid. In order to combat these unnecessary operations, we present a new encoding and decoding scheme.

Your cache administrator is webmaster. Claiming the code can sometimes be erroneous is hence wrong. Constant term is good and unambiguous. http://spamdestructor.com/probability-of/probability-and-error.php The 14 bits are the coefficients of the polynomial.

ISBN 70783857 http://resolver.caltech.edu/CaltechAUTHORS:20120216-080309345 Preview PDF - Published Version See Usage Policy. 238KbUse this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20120216-080309345AbstractThis paper is an extension of a recent paper by McEliece Publication Year 1988 Availability Type Acquire from other sources Document Type Conference Paper NASA Center Jet Propulsion Laboratory Organization California Institute of Technology Jet Propulsion Lab., California Inst. Rcgldr (talk) 20:41, 19 October 2011 (UTC) Please avoid order, the order of a polynomial (or a group member) is something completely different.