Hamming space
Encyclopedia
In statistics
and coding theory
, a Hamming space is the set of all
binary strings of length N. It is used in the theory of coding signals and transmission. Hamming code
s and Hamming distance
are related concepts.
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
and coding theory
Coding theory
Coding theory is the study of the properties of codes and their fitness for a specific application. Codes are used for data compression, cryptography, error-correction and more recently also for network coding...
, a Hamming space is the set of all
binary strings of length N. It is used in the theory of coding signals and transmission. Hamming codeHamming code
In telecommunication, Hamming codes are a family of linear error-correcting codes that generalize the Hamming-code invented by Richard Hamming in 1950. Hamming codes can detect up to two and correct up to one bit errors. By contrast, the simple parity code cannot correct errors, and can detect only...
s and Hamming distance
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...
are related concepts.