• In coding theory, the Bose–Chaudhuri–Hocquenghem codes (BCH codes) form a class of cyclic error-correcting codes that are constructed using polynomials...
    50 KB (10,768 words) - 23:30, 23 April 2024
  • Thumbnail for QR code
    protected from errors with a BCH code, and two complete copies are included in each QR symbol. A (15,5) triple error-correcting BCH code over GF(24) is used,...
    90 KB (9,107 words) - 09:39, 8 July 2024
  • Solomon codes could use the BCH scheme of using a fixed generator polynomial, making such codes a special class of BCH codes, but Reed Solomon codes based...
    75 KB (12,002 words) - 10:03, 2 May 2024
  • BCH or BCh may refer to: BCH code (Bose–Chaudhuri–Hocquenghem code), a code in coding theory Bachelor of Surgery, a component of some undergraduate medical...
    2 KB (249 words) - 08:44, 27 November 2022
  • Networks. AN codes Algebraic geometry code BCH code, which can be designed to correct any arbitrary number of errors per code block. Barker code used for...
    40 KB (4,678 words) - 22:18, 17 June 2024
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    generalizations of constacyclic codes. BCH code Binary Golay code Cyclic redundancy check Eugene Prange Reed–Muller code Ternary Golay code Van Lint 1998, p. 76 Van...
    26 KB (5,114 words) - 17:30, 4 January 2024
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    data bits, 12 error correction bits calculated using the (18, 6) Extended BCH code. Format information is masked with 011111101010110010 sequence which is...
    25 KB (2,443 words) - 12:52, 22 April 2024
  • the DVB-C2 standards all use a BCH code outer code to mop up residual errors after LDPC decoding. 5G NR uses polar code for the control channels and LDPC...
    33 KB (4,426 words) - 22:16, 6 May 2024
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    have implemented these codes have concatenated them with either Reed-Solomon (for example on the MediaFLO system) or BCH codes (on the DVB-S2 system)...
    87 KB (11,276 words) - 23:18, 10 June 2024
  • equivalent to the (n, 1)-Hamming code. A (n, 1) BCH code is also a repetition code. Consider a binary repetition code of length 3. The user wants to transmit...
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  • for BCH codes. Cyclic codes – every cyclic code is also a polynomial code; a popular example is the CRC code. BCH codes – a family of cyclic codes with...
    7 KB (1,529 words) - 01:38, 24 October 2023
  • Berlekamp–Massey algorithm (category Articles with example code)
    Berlekamp invented an algorithm for decoding Bose–Chaudhuri–Hocquenghem (BCH) codes. James Massey recognized its application to linear feedback shift registers...
    15 KB (1,249 words) - 09:54, 19 October 2023
  • Forney algorithm (category Coding theory)
    locations. It is used as one of the steps in decoding BCH codes and Reed–Solomon codes (a subclass of BCH codes). George David Forney Jr. developed the algorithm...
    5 KB (721 words) - 07:07, 10 May 2024
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    error-correcting code (bits 10 through 1), and an even parity bit (bit 0). Bits 31 through 1 are a binary BCH code (31, 21). The error-correcting code has a 6-bit...
    17 KB (2,692 words) - 04:16, 27 April 2024
  • Thumbnail for GPS signals
    GPS signals (redirect from Precision code)
    information. Subframe 1 is encoded by a modified BCH code. Specifically, the 8 least significant bits are BCH encoded to generate 51 bits, then combined using...
    75 KB (10,657 words) - 01:29, 9 July 2024
  • protocols may only be 7-bit safe (and within that avoid certain ASCII control codes), and may require line breaks at certain maximum intervals, and may not...
    22 KB (1,374 words) - 20:57, 10 June 2024
  • many error correction codes, such as Reed–Solomon error correction code or BCH code. The finite field almost always has characteristic of 2, since computer...
    45 KB (6,162 words) - 21:59, 25 April 2024
  • versions Polynomial codes, of which BCH codes are an example Reed–Solomon codes Reed–Muller codes Algebraic geometry codes Binary Goppa codes Low-density parity-check...
    16 KB (2,685 words) - 01:51, 1 July 2024
  • In coding theory, alternant codes form a class of parameterised error-correcting codes which generalise the BCH codes. An alternant code over GF(q) of...
    2 KB (148 words) - 03:29, 28 April 2024
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    forward error correction (FEC) processing. Hamming distance of the RS(255,239) code is 17 G.709 ITU-T OTN definitions "G.709 – The Optical Transport Network...
    10 KB (606 words) - 15:20, 23 April 2024
  • Thumbnail for Coding theory
    Polynomial codes (e.g., BCH codes) Reed–Solomon codes Algebraic geometric codes Reed–Muller codes Perfect codes Block codes are tied to the sphere packing...
    27 KB (3,546 words) - 22:13, 16 April 2024
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    Crypto-shredding Error detection and correction via error-correcting code (ECC) such as BCH code Garbage collection Read scrubbing and read disturb management...
    192 KB (16,528 words) - 23:13, 8 July 2024
  • Bose–Chaudhuri–Hocquenghem codes, better known under the acronym BCH codes. BCH codes is a class of error correcting codes that was published by Hocquenghem...
    1 KB (132 words) - 19:42, 18 December 2023
  • This is a list of algebraic coding theory topics....
    3 KB (9 words) - 23:09, 3 June 2023
  • the maximal total blocklength with a desired error detection power. The BCH codes are a powerful class of such polynomials. They subsume the two examples...
    72 KB (5,953 words) - 12:06, 4 May 2024
  • theory, convolutional codes, and burst error-correcting codes. Chapter 3 presents the BCH code over the field G F ( 2 4 ) {\displaystyle GF(2^{4})} , and...
    7 KB (830 words) - 10:53, 14 December 2023
  • theory, finite geometry and the theory of error-correcting codes in which the class of BCH codes is partly named after him. He also invented the notions...
    9 KB (985 words) - 05:34, 2 July 2024
  • encoding: a BCH code, capable to correct 10 or 12 errors per FECFRAME, is used to compute parity data for the information data field. The BCH generator...
    73 KB (8,458 words) - 14:53, 27 May 2024
  • value ERT ID LS bits 24 lower bits of meter serial number Checksum 16 A BCH code with generator polynomial: p ( x ) = x 16 + x 14 + x 13 + x 11 + x 10 +...
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  • failure of one chip. Typical implementations use more advanced codes, such as a BCH code, that can correct multiple bits with less overhead. Chipkill is...
    7 KB (670 words) - 23:49, 8 March 2024