highest possible rate for codes with their block length and minimum distance of three. Richard W. Hamming invented Hamming codes in 1950 as a way of automatically...
29 KB (4,041 words) - 17:28, 8 August 2024
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...
26 KB (2,669 words) - 02:48, 4 June 2023
include the Hamming code (which makes use of a Hamming matrix), the Hamming window, Hamming numbers, sphere-packing (or Hamming bound), Hamming graph concepts...
30 KB (3,170 words) - 04:49, 31 July 2024
capability of the code. The Hamming distance is named after Richard Hamming, who introduced the concept in his fundamental paper on Hamming codes, Error detecting...
16 KB (1,908 words) - 06:19, 15 May 2024
code is a sequence of dual Hamming codes. Some examples of linear codes include: Repetition codes Parity codes Cyclic codes Hamming codes Golay code,...
16 KB (2,685 words) - 01:51, 1 July 2024
Hamming may refer to: Richard Hamming (1915–1998), American mathematician Hamming(7,4), in coding theory, a linear error-correcting code Overacting, or...
581 bytes (99 words) - 13:00, 6 January 2021
mathematician Richard Hamming pioneered this field in the 1940s and invented the first error-correcting code in 1950: the Hamming (7,4) code. FEC can be applied...
40 KB (4,681 words) - 04:40, 19 August 2024
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 known as the sphere-packing...
9 KB (1,446 words) - 20:48, 28 December 2023
. In fact, any binary Hamming code of the form Ham(r, 2) is equivalent to a cyclic code, and any Hamming code of the form Ham(r,q) with r and q-1 relatively...
26 KB (5,114 words) - 17:30, 4 January 2024
Hamming, whose work has had many implications for computer science and telecommunications. His contributions include the invention of the Hamming code...
5 KB (380 words) - 03:54, 31 July 2024