blue_tiger30 said:sorry I meant is the minimum distance always 3 ?
A hamming code is an error-correcting code used in digital communication to detect and correct errors that may occur during transmission. It works by adding extra bits to the original data bits, creating a code word that can be used to detect and correct errors.
A hamming code uses a mathematical algorithm to add extra bits to the original data bits in such a way that any single-bit error in the code word can be detected and corrected. This is achieved by creating parity bits that are used to check for errors in the code word.
Yes, a hamming code is designed to always correct one error and detect two errors. This is known as the "Hamming distance" property, which means that any two valid code words will differ by at least three bits. This allows the code to detect and correct any single-bit error, and detect any two-bit errors.
If more than two errors occur in a hamming code, the code will detect the errors but will not be able to correct them. This is because the code is designed to only correct one error and detect two errors. In this case, the receiver will request the sender to retransmit the data.
While a hamming code is effective in correcting errors, it does have limitations. It can only correct one error and detect two errors, and it is not suitable for correcting burst errors. Additionally, as more bits are added for error correction, the efficiency of the code decreases. Therefore, it is important to choose the appropriate error correction method based on the specific communication system and its requirements.