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Repetition code information


In coding theory, the repetition code is one of the most basic linear error-correcting codes. In order to transmit a message over a noisy channel that may corrupt the transmission in a few places, the idea of the repetition code is to just repeat the message several times. The hope is that the channel corrupts only a minority of these repetitions. This way the receiver will notice that a transmission error occurred since the received data stream is not the repetition of a single message, and moreover, the receiver can recover the original message by looking at the received message in the data stream that occurs most often.

Because of the bad error correcting performance coupled with the low code rate (ratio between useful information symbols and actual transmitted symbols), other error correction codes are preferred in most cases. The chief attraction of the repetition code is the ease of implementation.

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Repetition code

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In coding theory, the repetition code is one of the most basic linear error-correcting codes. In order to transmit a message over a noisy channel that...

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Hamming code

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correctly. For instance, if the data bit to be sent is a 1, an n = 3 repetition code will send 111. If the three bits received are not identical, an error...

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Error detection and correction

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optimal decoding. Block codes are processed on a block-by-block basis. Early examples of block codes are repetition codes, Hamming codes and multidimensional...

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Quantum error correction

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employs redundancy. The simplest albeit inefficient approach is the repetition code. The idea is to store the information multiple times, and—if these...

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Error correction code

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ECC is to transmit each data bit 3 times, which is known as a (3,1) repetition code. Through a noisy channel, a receiver might see 8 versions of the output...

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Repeat loop

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Repeat loop may refer to: For loop – Commonly known as the repeat (x) { ... } loop. Do while loop – Known as the repeat { ... } until (!CONDITION) loop...

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BCH code

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code. In fact, this code has only two codewords: 000000000000000 and 111111111111111 (a trivial repetition code). General BCH codes differ from primitive...

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Hadamard code

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useful data length was about 30 bits. Instead of using a repetition code, a [32, 6, 16] Hadamard code was used. Errors of up to 7 bits per 32-bit word could...

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Data redundancy

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additional data can simply be a complete copy of the actual data (a type of repetition code), or only select pieces of data that allow detection of errors and...

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Threefold repetition

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repetition rule states that a player may claim a draw if the same position occurs three times during the game. The rule is also known as repetition of...

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Majority logic decoding

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detection and correction, majority logic decoding is a method to decode repetition codes, based on the assumption that the largest number of occurrences of...

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Triple modular redundancy

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common Hamming code), because triple modular redundancy hardware is faster than Hamming error correction hardware. Called repetition code, some communication...

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Mariner 9

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bits. Instead of using a repetition code, a [32, 6, 16] Hadamard code was used, which is also a 1st-order Reed-Muller code. Errors of up to seven bits...

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Iteration

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Iteration is the repetition of a process in order to generate a (possibly unbounded) sequence of outcomes. Each repetition of the process is a single...

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Cat state

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needs to concatenate with another code in a bias preserving way, such as with a repetition code or a surface code. As stated above, even though a resonator...

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Coding theory

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the code. There are many types of linear block codes, such as Cyclic codes (e.g., Hamming codes) Repetition codes Parity codes Polynomial codes (e.g...

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List of algebraic coding theory topics

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This is a list of algebraic coding theory topics....

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Linear code

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code is a sequence of dual Hamming codes. Some examples of linear codes include: Repetition codes Parity codes Cyclic codes Hamming codes Golay code,...

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Avalon Code

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Avalon Code received mixed reviews, being praised for its graphics and innovative mechanics, but criticized for its linear story-line and repetitive gameplay...

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Computer programming

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Computer programming or coding is the composition of sequences of instructions, called programs, that computers can follow to perform tasks. It involves...

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Switch statement

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for using a switch include improving clarity, by reducing otherwise repetitive coding, and (if the heuristics permit) also offering the potential for faster...

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Qiskit

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2019-10-10. Retrieved 2021-07-14. Wootton, James R.; Loss, Daniel (2018). "Repetition code of 15 qubits". Physical Review A. 97 (5): 052313. arXiv:1709.00990...

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Gray code

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conventional binary code by a sort of reflection process". In the standard encoding of the Gray Code the least significant bit follows a repetitive pattern of...

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Genome

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non-repetitive DNA decreases along with increasing genome size in complex eukaryotes. Noncoding sequences include introns, sequences for non-coding RNAs...

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