Hi. How to use a Hamming code for single bit error? How is detection and correction performed on it using a Hamming code? In short, how is single bit error detection and correction using a Hamming code can be done? Hope you reply to the earliest.
Hi. A Hamming code is a particular type of coding that is being used for correcting and detecting the errors. It’s based on the concept of parity (parity bits). Even a single bit error detection and correction using Hamming code are being done on that. It is done by adding a one more parity bit to the given coded word, which is not only used to detect and correct the errors but also to find its location in the unit of data. Hamming code also helps to find the exact error bit location.
The “hamming code” is a linear code for detecting errors. This method is able to detect up to two simultaneous bit errors and can also correct single-bit errors. The hamming code method was invented in 1950 by Richard Hamming. It is useful for single-bit change which is more possible than two or more bit changes.
A more dependable communication is guaranteed if the hamming distance between the transmitter and the receiver is less than or equal to one. Hamming code’s simplicity makes it appropriate for use in computer memory and single-error correction. Another variant called “SECDED” was also used for double-error detection. These codes have a minimum hamming distance of three where the code detects and corrects single errors.
Double-bit errors are detected only if no correction was attempted. When the minimum distance of the hamming code is increased by four by adding an extra parity bit, it allows the code to detect and correct single errors while detecting double errors.
