Bch Error Detection Codes
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Alexis Hocquenghem, and independently in 1960 by Raj Bose and D. K. Ray-Chaudhuri.[1][2][3] The acronym BCH comprises the initials of these inventors' bch error correction code tutorial names. One of the key features of BCH codes is that during
Error Detection Codes In Computer Organization
code design, there is a precise control over the number of symbol errors correctable by the code. In error detection codes pdf particular, it is possible to design binary BCH codes that can correct multiple bit errors. Another advantage of BCH codes is the ease with which they can be decoded, error detection codes ppt namely, via an algebraic method known as syndrome decoding. This simplifies the design of the decoder for these codes, using small low-power electronic hardware. BCH codes are used in applications such as satellite communications,[4] compact disc players, DVDs, disk drives, solid-state drives[5] and two-dimensional bar codes. Contents 1 Definition and illustration 1.1 Primitive narrow-sense BCH codes 1.1.1 Example 1.2 General
Types Of Error Detection Codes
BCH codes 1.3 Special cases 2 Properties 3 Encoding 4 Decoding 4.1 Calculate the syndromes 4.2 Calculate the error location polynomial 4.2.1 Peterson–Gorenstein–Zierler algorithm 4.3 Factor error locator polynomial 4.4 Calculate error values 4.4.1 Forney algorithm 4.4.2 Explanation of Forney algorithm computation 4.5 Decoding based on extended Euclidean algorithm 4.5.1 Explanation of the decoding process 4.6 Correct the errors 4.7 Decoding examples 4.7.1 Decoding of binary code without unreadable characters 4.7.2 Decoding with unreadable characters 4.7.3 Decoding with unreadable characters with a small number of errors 5 Citations 6 References 6.1 Primary sources 6.2 Secondary sources 7 Further reading Definition and illustration[edit] Primitive narrow-sense BCH codes[edit] Given a prime power q and positive integers m and d with d ≤ qm − 1, a primitive narrow-sense BCH code over the finite field GF(q) with code length n = qm − 1 and distance at least d is constructed by the following method. Let α be a primitive element of GF(qm). For any positive integer i, let mi(x) be the minimal polynomial of αi over GF(q). The generator polyn
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Rs Codes
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SubscribeSubscribedUnsubscribe26,94426K Loading... Loading... Working... Add to Want to watch this again later? Sign in to add this video to a playlist. Sign in https://www.youtube.com/watch?v=vGS5JHd8sgI Share More Report Need to report the video? Sign in to report inappropriate content. Sign in Transcript Statistics 2,613 views 2 Like this video? Sign in to make your opinion count. Sign in 3 17 Don't like this video? Sign in to make your opinion count. Sign in 18 Loading... Loading... Transcript The error detection interactive transcript could not be loaded. Loading... Loading... Rating is available when the video has been rented. This feature is not available right now. Please try again later. Published on Dec 29, 2015In coding theory, the BCH codes form a class of cyclic error-correcting codes that are constructed using finite fields. BCH codes were error detection codes invented in 1959 by French mathematician Alexis Hocquenghem, and independently in 1960 by Raj Bose and D. K. Ray-Chaudhuri. The acronym BCH comprises the initials of these inventors' names.One of the key features of BCH codes is that during code design, there is a precise control over the number of symbol errors correctable by the code. In particular, it is possible to design binary BCH codes that can correct multiple bit errors. Another advantage of BCH codes is the ease with which they can be decoded, namely, via an algebraic method known as syndrome decoding. This simplifies the design of the decoder for these codes, using small low-power electronic hardware.This video is targeted to blind users.Attribution:Article text available under CC-BY-SACreative Commons image source in video Category Education License Standard YouTube License Show more Show less Loading... Autoplay When autoplay is enabled, a suggested video will automatically play next. Up next Mod-01 Lec-12 BCH Codes - Duration: 1:14:52. npt
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