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Paley construction

In mathematics, the Paley construction is a method for constructing Hadamard matrices using finite fields. The construction was described in 1933 by the English mathematician Raymond Paley.

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Quadratic character and Jacobsthal matrix

11 related topics

Examples

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General references

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Related combinatorial objects

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Overview

Quadratic character and Jacobsthal matrix

Conference matrices

Paley construction I

Examples

Related combinatorial objects

The Hadamard conjecture

Generalizations and invariants

General references

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Map overview Semantic statistics

Paley construction

Nodes56
Edges55
Triples28
Avg. degree1.96
Density0.035714
Components1

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Paley construction

Top relations

related to The Hadamard conjecture · 16
Paley construction → As, ATA, Baumert, By, Continuing, Golomb, Hadamard, Hall, In, It, Kronecker, Paley, The, The Kronecker, This, Williamson
related to Examples · 11
Paley construction → Applying Paley Construction, Choosing, Different, For, GF, Hadamard, Jacobsthal, Paley II, The, The Jacobsthal, This
is a · 1
Paley construction → method for constructing Hadamard matrices using finite fields

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Important terminology

matrix paley hadamard construction matrices congruent mod gf size symmetric field jacobsthal square quadratic prime ii skew-symmetric two conference rows

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Paley constructionis amethod for constructing Hadamard matrices using finite fields0.90text
Paley constructionrelated to ExamplesApplying Paley Construction0.60section
Paley constructionrelated to ExamplesJacobsthal0.60section
Paley constructionrelated to ExamplesGF0.60section
Paley constructionrelated to ExamplesHadamard0.60section
Paley constructionrelated to ExamplesFor0.60section
Paley constructionrelated to ExamplesPaley II0.60section
Paley constructionrelated to ExamplesThis0.60section
Paley constructionrelated to ExamplesDifferent0.60section
Paley constructionrelated to ExamplesChoosing0.60section
Paley constructionrelated to ExamplesThe0.60section
Paley constructionrelated to ExamplesThe Jacobsthal0.60section

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