Error detection and correction


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Error detection and correction using fast coding

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Error Detection and Correction using Fast Coding Khalid. The algorithm can be extended
to n bits messages, and can be implemented on integrated circuits based on XOR gates.
References Reed, IS, ā€˛Class of multiple error correcting codes and their decoding



Error detection is the detection of errors caused by noise or other impairments during transmission from the transmitter to the receiver. Error correction is the detection of errors and reconstruction of the original, error-free data.

Error-correcting code (ECC) or forward error correction (FEC) is a method that involves adding parity data bits to the message. These parity bits will be read by the receiver to determine whether an error happened during transmission or storage. In this case, the receiver checks and corrects errors when they occur.

The central concept in detecting or correcting errors is redundancy. To be able to detect or correct errors, we need to send some extra bits with our data. These redundant bits are added by the sender and removed by the receiver. Their presence allows the receiver to detect or correct corrupted bits.

There are three types of error: syntax errors, logical errors and run-time errors. (Logical errors are also called semantic errors). We discussed syntax errors in our note on data type errors. Generally errors are classified into three types: systematic errors, random errors and blunders

Error Detection & Correction Codes. Advertisements. We know that the bits 0 and 1 corresponding to two different range of analog voltages. So, during transmission of binary data from one system to the other, the noise may also be added. Due to this, there may be errors in the received data at other system


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