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Error Coding (Correction)

1999
Error bits are added to data either to correct or to detect transmission errors. Normally, the more bits that are added, the better the detection or correction. Error detection allows the receiver to determine if there has been a transmission error. It cannot rebuild the correct data and must either request a retransmission or discard the data.
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Error-Correcting Codes

2015
This chapter deals with the problem of reliable transmission of digitally encoded information through an unreliable channel. In a way all channels are not completely reliable. Even the best telecommunication systems connecting numerous information centres in various countries have some non-zero error rate.
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Error Correcting Codes

2014
The identification number schemes we discussed in the previous chapter give us the ability to determine if an error has been made in recording or transmitting information. However, they are limited in two ways. First, the types of errors detected are fairly restrictive, e.g. single digit errors or interchanging digits.
David R. Finston, Patrick J. Morandi
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Error Correcting Codes

1998
The problem of adding reliability to data has already been mentioned in Section 2.12. This appendix discusses general methods for detecting and correcting errors. Reliability is, in a sense, the opposite of data compression since it is achieved by increasing data redundancy. Nevertheless, many practical situations call for reliable data, so a good data
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Error-correcting Codes

2000
Our aim now is to construct codes C with good transmission-rates R and low error-probabilities PrE, as promised by Shannon’s Fundamental Theorem (§5.4). This part of the subject goes under the name of Coding Theory (or Error-correcting Codes), as opposed to Information Theory, which covers the topics considered earlier.
Gareth A. Jones, J. Mary Jones
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Towards complete and error-free genome assemblies of all vertebrate species

Nature, 2021
Arang Rhie   +2 more
exaly  

Realizing repeated quantum error correction in a distance-three surface code

Nature, 2022
Sebastian Krinner   +2 more
exaly  

Quantum error mitigation

Reviews of Modern Physics, 2023
Zhenyu Cai   +2 more
exaly  

Exponential suppression of bit or phase errors with cyclic error correction

Nature, 2021
Kevin J Satzinger   +2 more
exaly  

Fault-tolerant control of an error-corrected qubit

Nature, 2021
Laird Egan   +2 more
exaly  

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