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Block code

In coding theory, block codes are a large and important family of error-correcting codes that encode data in blocks. There is a vast number of examples for block codes, many of which have a wide range of practical applications. The abstract definition of block codes is conceptually useful because it allows coding theorists, mathematicians, and computer…

The block code and its parameters, Sphere packings and lattices & Overview

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Overview

The block code and its parameters

Examples

Error detection and correction properties

Sphere packings and lattices

Advanced semantic analysis

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Map overview Semantic statistics

Block code

Nodes45
Edges44
Triples69
Avg. degree1.96
Density0.044444
Components1

How this topic connects Entity context

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Block code

Top relations

related to Examples · 12
Block code → As, Hadamard, Hamming, Hence, In, It, Rank, Reed, Richard, Solomon, The, This
related to Sphere packings and lattices · 12
Block code → As, Block, But, For, Golay, If, In, N-dimensional, Other, Take, The, There
related to The distance d · 8
Block code → Besides, Delta, Formally, Hamming, Sigma, Since, The, Then
related to Popular notation · 6
Block code → For, If, In, Sigma, Sometimes, The
related to The block code and its parameters · 5
Block code → Each, Error-correcting, Formally, The, When
is a · 4
Block code → injective mapping C, linear block code, minimum number of positions in which any two distinct codewords differ, number of symbols in a block
related to Singleton bound · 4
Block code → In, Reed, Solomon, The Singleton
related to The alphabet Σ · 4
Block code → If, In, Sigma, The
related to The block length n · 4
Block code → Hence, If, Sigma, The
related to The rate R · 4
Block code → Formally, In, It, The

Important terminology Word statistics

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Important terminology

displaystyle block codes code distance number codeword hamming d-1 errors received length also sigma dimensions family rate examples receiver left

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Block codeis ainjective mapping C0.90text
Block codeis anumber of symbols in a block0.90text
Block codeis aminimum number of positions in which any two distinct codewords differ0.90text
Block codeis alinear block code0.90text
turbo codesinstance ofUnder this definition codes0.80text
terminated convolutional codesinstance ofUnder this definition codes0.80text
other iteratively decodable codesinstance ofUnder this definition codes0.80text
Block coderelated to ExamplesAs0.60section
Block coderelated to ExamplesThe0.60section
Block coderelated to ExamplesHamming0.60section
Block coderelated to ExamplesRichard0.60section
Block coderelated to ExamplesThis0.60section

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    Min side: 3
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