Hamming distance for error detection and correction

In telecommunication, Hamming codes are a family of linear error- correcting codes. Hamming codes can detect up to two- bit errors or correct one- bit errors. In general, a code with distance k can detect but not correct k − 1 errors. It is necessary to have minimum hamming distance for application of certain methods. For instance a distance of n denotes detection of n- 1 errors is possible. This video shows how to use overlapping circles to understand the process of detecting and correcting errors in binary data using Hamming. All error- detection and correction methods only work below a certain error rate. If two codewords are Hamming distance d apart, it will take d one- bit errors to. The minimum Hamming distance is used to. error detecting and error correcting codes.

How can you possibly not only detect an error but correct it as well? What has Hamming distance got to do with parity checking? The Hamming distance being 3 means that any two code words must differ in at least three bits. Hamming Distance and Error Correcting Codes. You may already be aware that one transmits information, whether it be over the internet, or from a DVD to a. Detecting and Correcting Errors, Slide 1. The Hamming distance between a valid binary code word and the same code word with.