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) - 11:47, 1 November 2024
Reed–Solomon error correction (redirect from Reed-Solomon code)
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...
75 KB (12,395 words) - 16:42, 29 April 2025
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 (9,924 words) - 05:24, 6 May 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 (4,684 words) - 19:46, 17 March 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...
35 KB (4,601 words) - 18:17, 29 March 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...
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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
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) - 07:04, 31 March 2025
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
Orthogonal frequency-division multiplexing (redirect from Optical orthogonal code)
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) - 02:38, 9 March 2025
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
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) - 13:40, 27 April 2025
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
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) - 10:03, 13 December 2024
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
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 (8,493 words) - 00:02, 3 May 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...
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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 (7,535 words) - 18:07, 22 April 2025
Finite field arithmetic (category Articles with example D code)
variety of applications, including in classical coding theory in linear block codes such as BCH codes and Reed–Solomon error correction, in cryptography...
25 KB (2,865 words) - 02:35, 11 January 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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Construction and Equipment of Ships Carrying Dangerous Chemicals in Bulk (BCH Code). The Code covers how liquid chemicals must be transported in bulk and applies...
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This is a list of algebraic coding theory topics....
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Crypto-shredding Error detection and correction using error-correcting code (ECC), such as BCH code Garbage collection Read scrubbing and management of read disturb...
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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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DVB-S2 (redirect from Variable Coding and Modulation)
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...
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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...
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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 (668 words) - 07:50, 30 July 2024