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Polynomial code

In coding theory, a polynomial code is a type of linear code whose set of valid code words consists of those polynomials (usually of some fixed length) that are divisible by a given fixed polynomial (of shorter length, called the generator polynomial).

Properties of polynomial codes, Specific families of polynomial codes & Definition

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Properties of polynomial codes

Error detection and correctionHamming distanceCyclicPrimitiveExtension field
5 related topics

Specific families of polynomial codes

CRCReed–Solomon codes
2 related topics

Definition

Finite field
1 related topics

Example

Modulo
1 related topics

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Overview

Definition

Example

Encoding

Decoding

Properties of polynomial codes

Specific families of polynomial codes

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Map overview Semantic statistics

Polynomial code

Nodes23
Edges22
Triples30
Avg. degree1.91
Density0.086957
Components1

How this topic connects Entity context

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Polynomial code

Top relations

related to Encoding · 9
Polynomial code → GF, However, In, Indeed, Lidl, Pilz, Plain, Since, Some
related to Properties of polynomial codes · 6
Polynomial code → As, Hamming, Here, In, More, Since
related to Specific families of polynomial codes · 6
Polynomial code → BCH, CRC, Cyclic, Hamming, Reed, Solomon
related to Definition · 4
Polynomial code → Fix, For, GF, The
related to Example · 4
Polynomial code → Consider, GF, Or, This
is a · 1
Polynomial code → type of linear code whose set of valid code words consists of those polynomials

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Important terminology

code displaystyle polynomial codes generator word words n-m divisible symbols degree data hamming distance polynomials gf since bch linear length

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Polynomial codeis atype of linear code whose set of valid code words consists of those polynomials0.90text
Polynomial coderelated to DefinitionFix0.60section
Polynomial coderelated to DefinitionGF0.60section
Polynomial coderelated to DefinitionFor0.60section
Polynomial coderelated to DefinitionThe0.60section
Polynomial coderelated to EncodingIn0.60section
Polynomial coderelated to EncodingGF0.60section
Polynomial coderelated to EncodingIndeed0.60section
Polynomial coderelated to EncodingSince0.60section
Polynomial coderelated to EncodingPlain0.60section
Polynomial coderelated to EncodingSome0.60section
Polynomial coderelated to EncodingLidl0.60section

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