Coding theory | Cubes | String metrics | Metric geometry

Hamming distance

In information theory, the Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols are different. In other words, it measures the minimum number of substitutions required to change one string into the other, or the minimum number of errors that could have transformed one string into the other. In a more general context, the Hamming distance is one of several string metrics for measuring the edit distance between two sequences. It is named after the American mathematician Richard Hamming. A major application is in coding theory, more specifically to block codes, in which the equal-length strings are vectors over a finite field. (Wikipedia).

Hamming distance
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Related pages

Hamming weight | Damerau–Levenshtein distance | Coding theory | String (computer science) | Vector space | Richard Hamming | Finite field | Sphere packing | Hypercube | Exclusive or | Hypercube graph | String metric | Hamming code | Lee distance | Edit distance | Levenshtein distance | Information theory | Cryptography | Jaccard index | Tesseract | Closest string | Block code | Ball (mathematics) | Cube | Binary symmetric channel | Mahalanobis distance | Communications of the ACM | Gray code | Iterator | Hamming space | Euclidean distance | Gap-Hamming problem | Triangle inequality | Bitwise operation | Error detection and correction