the Hamming distance between a and c is not larger than the sum of the Hamming distances between a and b and between b and c. The Hamming distance between...

strings have the same size, the Hamming distance is an upper bound on the Levenshtein distance. The Hamming distance is the number of positions at which...

computer science and telecommunications, Hamming codes are a family of linear error-correcting codes. Hamming codes can detect one-bit and two-bit errors...

include the Hamming code (which makes use of a Hamming matrix), the Hamming window, Hamming numbers, sphere-packing (or Hamming bound), Hamming graph concepts...

sum, or bit summation. The Hamming weight is named after Richard Hamming although he did not originate the notion. The Hamming weight of binary numbers...

family of Hamming codes, but the term Hamming code often refers to this specific code that Richard W. Hamming introduced in 1950. At the time, Hamming worked...

exaggerated way Hamming code, error correction in telecommunication Hamming distance, a way of defining how different two sequences are Hamming weight, the...

cost), Hamming distance is obtained; this must be restricted to equal-length strings. Jaro–Winkler distance can be obtained from an edit distance where...

Hamming graphs are a special class of graphs named after Richard Hamming and used in several branches of mathematics (graph theory) and computer science...

In mathematics and computer science, in the field of coding theory, the Hamming bound is a limit on the parameters of an arbitrary block code: it is also...

included in the Gensim open source library. Sørensen–Dice coefficient Hamming distance Correlation Jaccard index SimRank Information retrieval Singhal, Amit...

Sørensen–Dice coefficient Block distance or L1 distance or City block distance Hamming distance Simple matching coefficient (SMC) Jaccard similarity or Jaccard...

In statistics and coding theory, a Hamming space (named after American mathematician Richard Hamming) is usually the set of all 2 N {\displaystyle 2^{N}}...

discrete distance defines the Hamming distance, which is important in coding and information theory. In the field of real or complex numbers, the distance of...

2 {\displaystyle [2^{r}-1,2^{r}-r-1,3]_{2}} Hamming code. Since d = 3 {\displaystyle d=3} , this Hamming code can correct a 1-bit error. Example : The...

not substitution; the Hamming distance allows only substitution, hence, it only applies to strings of the same length. Edit distance is usually defined as...

To achieve this at normal bit error rates requires at least a 4-bit Hamming distance protection for all packet data. In other words, all combinations of...

than physical, notion of distance: for example, the set of 100-character Unicode strings can be equipped with the Hamming distance, which measures the number...

they need to exchange in order for Alice to approximately compute the Hamming distance between their strings. The solution to the problem roughly states that...

definitions of edit distance such as Levenshtein distance, Hamming distance and Jaro–Winkler distance may be interpreted as graph edit distances between suitably...

construct an LSH family is by bit sampling. This approach works for the Hamming distance over d-dimensional vectors { 0 , 1 } d {\displaystyle \{0,1\}^{d}}...

size of a q-ary code C {\displaystyle C} with length n and minimum Hamming distance d (a q-ary code is a code over the field F q {\displaystyle \mathbb...

three classes depending on their Hamming distance from the master sequence: Note that the number of sequences for distance d is just the binomial coefficient...

block codes. The first error-correcting code was the Hamming(7,4) code, developed by Richard W. Hamming in 1950. This code transforms a message consisting...

codes. He invented the concepts known as Hamming codes, Hamming windows, Hamming numbers, and Hamming distance. In 1972, Nasir Ahmed proposed the discrete...

ways, including Levenshtein distance, Hamming distance, Lee distance, and Jaro–Winkler distance. In a graph, the distance between two vertices is measured...

size, finding examples that have much better performance (in terms of Hamming distance for a given message size) than the polynomials of earlier protocols...

q-|x_{i}-y_{i}|).} If q = 2 or q = 3 the Lee distance coincides with the Hamming distance, because both distances are 0 for two single equal symbols and 1...

heuristics apply to the fifteen puzzle problem: Hamming distance Manhattan distance The Hamming distance is the total number of misplaced tiles. It is clear...

determined by the minimum Hamming distance of the code. Since polynomial codes are linear codes, the minimum Hamming distance is equal to the minimum weight...