• 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) - 03:46, 1 June 2025
  • 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,...
    96 KB (9,992 words) - 06:13, 15 July 2025
  • Reed–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...
    76 KB (12,405 words) - 17:42, 14 July 2025
  • 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 (4,704 words) - 10:30, 28 June 2025
  • 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 (238 words) - 10:29, 15 April 2025
  • 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...
    36 KB (4,626 words) - 16:31, 22 June 2025
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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)...
    88 KB (11,274 words) - 20:03, 27 June 2025
  • 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
  • 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 (10,651 words) - 14:45, 12 June 2025
  • 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...
    4 KB (546 words) - 13:31, 4 April 2024
  • Thumbnail for Berlekamp–Massey algorithm
    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...
    9 KB (1,222 words) - 06:47, 3 May 2025
  • 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 (723 words) - 21:41, 15 March 2025
  • Thumbnail for Rectangular Micro QR Code
    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 (2,441 words) - 22:22, 14 May 2025
  • Thumbnail for Cyclic code
    error-correcting codes can be represented as cyclic codes, including BCH codes, Reed-Solomon codes, and some classes of low-density parity-check codes defined...
    27 KB (5,187 words) - 01:11, 9 May 2025
  • Thumbnail for Radio-paging code No. 1
    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 (2,533 words) - 20:29, 31 March 2025
  • Thumbnail for Coding theory
    codes (e.g., BCH codes) Reed–Solomon codes Algebraic geometric codes Reed–Muller codes Perfect codes Locally recoverable code Block codes are tied to the...
    27 KB (3,712 words) - 08:44, 19 June 2025
  • 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) - 13:35, 9 March 2025
  • J. Bernstein. "List decoding for binary Goppa codes." http://cr.yp.to/codes/goppalist-20110303.pdf BCH codes Code rate Reed–Solomon error correction...
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  • This is a list of algebraic coding theory topics....
    3 KB (9 words) - 23:09, 3 June 2023
  • Thumbnail for Solid-state drive
    Crypto-shredding Error detection and correction using error-correcting code (ECC), such as BCH code Garbage collection Read scrubbing and management of read disturb...
    127 KB (11,151 words) - 15:06, 16 July 2025
  • Thumbnail for Optical transport network
    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 (623 words) - 08:27, 28 September 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 (8,511 words) - 14:06, 7 July 2025
  • codes, of which BCH codes are an example Reed–Solomon codes Reed–Muller code Algebraic geometry code Binary Goppa code Low-density parity-check codes...
    17 KB (2,694 words) - 03:34, 28 November 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
  • Thumbnail for Multi-level cell
    read. The most commonly used algorithm is Bose–Chaudhuri–Hocquenghem (BCH code). Other drawbacks of MLC NAND are lower write speeds, lower number of program/erase...
    21 KB (2,337 words) - 18:19, 4 July 2025
  • 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 (829 words) - 17:31, 17 December 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...
    46 KB (7,582 words) - 18:36, 17 July 2025
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    with existing DVB-S receivers). Improved coding: a modern large LDPC code is concatenated with an outer BCH code to achieve quasi-error-free (QEF) reception...
    18 KB (1,277 words) - 19:20, 25 April 2025
  • This is a list of all airline codes. The table lists the IATA airline designators, the ICAO airline designators and the airline call signs (telephony...
    4 KB (897 words) - 12:35, 6 July 2025
  • 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...
    71 KB (5,839 words) - 04:43, 9 July 2025