Hamming space

id: hamming-space-295-13244814
title: Hamming space
text: In statistics and coding theory, a Hamming space is usually the set of all 2 N binary strings of length N. It is used in the theory of coding signals and transmission. More generally, a Hamming space can be defined over any alphabet (set) Q as the set of words of a fixed length N with letters from Q. If Q is a finite field, then a Hamming space over Q is an N-dimensional vector space over Q. In the typical, binary case, the field is thus GF(2). In coding theory, if Q has q elements, then any sub
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Hamming_space
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date modified: 2023-10-24T01:35:37Z
main entity: {"identifier":"Q5645799","url":"https://www.wikidata.org/entity/Q5645799"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/b4/Hamming_distance_3_bit_binary.svg","width":190,"height":150}
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