# Hamming space

﻿
Hamming space

In statistics and coding theory, a Hamming space is the set of all $2^N$ binary strings of length N. It is used in the theory of coding signals and transmission. Hamming codes and Hamming distance are related concepts.

Wikimedia Foundation. 2010.

### Look at other dictionaries:

• Hamming distance — 3 bit binary cube for finding Hamming distance …   Wikipedia

• Hamming bound — 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 known as the sphere packing bound or the volume bound from an interpretation in terms of… …   Wikipedia

• Hamming code — In telecommunication, a Hamming code is a linear error correcting code named after its inventor, Richard Hamming. Hamming codes can detect and correct single bit errors. In other words, the Hamming distance between the transmitted and received… …   Wikipedia

• Scale space implementation — Scale space Scale space axioms Scale space implementation Feature detection Edge detection Blob detection Corner detection …   Wikipedia

• List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

• Nonlinear dimensionality reduction — High dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret. One approach to simplification is to assume that the data of interest lies on an embedded non linear manifold within… …   Wikipedia

• Error detection and correction — In mathematics, computer science, telecommunication, and information theory, error detection and correction has great practical importance in maintaining data (information) integrity across noisy channels and less than reliable storage… …   Wikipedia

• Norm (mathematics) — This article is about linear algebra and analysis. For field theory, see Field norm. For ideals, see Norm of an ideal. For group theory, see Norm (group). For norms in descriptive set theory, see prewellordering. In linear algebra, functional… …   Wikipedia

• 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. Codes are studied by various scientific… …   Wikipedia

• Distributed source coding — (DSC) is an important problem in information theory and communication. DSC problems regard the compression of multiple correlated information sources that do not communicate with each other.[1] By modeling the correlation between multiple sources …   Wikipedia

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.