summation. The Hamming weight is named after the American mathematician Richard Hamming, although he did not originate the notion. The Hamming weight of binary...

3. For a fixed length n, the Hamming distance is a metric on the set of the words of length n (also known as a Hamming space), as it fulfills the conditions...

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

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

coding theory, the weight enumerator polynomial of a binary linear code specifies the number of words of each possible Hamming weight. Let C ⊂ F 2 n {\displaystyle...

of 1 bits in a bit array, sometimes called the population count or Hamming weight, there are efficient branch-free algorithms that can compute the number...

number theory, a pernicious number is a positive integer such that the Hamming weight of its binary representation is prime, that is, there is a prime number...

constant-weight code, also called an m-of-n code, is an error detection and correction code where all codewords share the same Hamming weight. The one-hot...

Lee weight and Z 2 2 {\displaystyle \mathbb {Z} _{2}^{2}} with the Hamming weight. Considering the alphabet as the additive group Zq, the Lee distance...

smallest number of non-zero entries, that is, the one with minimal Hamming weight. One method of doing this is to compute the representation in non-adjacent...