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Berlekamp's algorithm

In mathematics, particularly computational algebra, Berlekamp's algorithm is a well-known method for factoring polynomials over finite fields (also known as Galois fields). The algorithm consists mainly of matrix reduction and polynomial GCD computations. It was invented by Elwyn Berlekamp in 1967. It was the dominant algorithm for solving the problem…

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Overview

MathematicsComputational algebraFactoring polynomials over finite fieldsMatrixGCD
19 related topics

Applications

Discrete logarithmsPublic key cryptographyError-control codingIndex calculus method
4 related topics

Conceptual algebraic explanation

Chinese remainder theorem
1 related topics

Implementation in computer algebra systems

WolframAlpha
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Overview

Conceptual algebraic explanation

Applications

Implementation in computer algebra systems

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Berlekamp's algorithm

Nodes30
Edges29
Triples23
Avg. degree1.93
Density0.066667
Components1

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Berlekamp's algorithm

Top relations

related to Conceptual algebraic explanation · 11
Berlekamp's algorithm → Berlekamp's, By, Chinese, Fix, Frobenius, Now, The, Then, Thus, We, With
has application · 5
Berlekamp's algorithm → Berlekamp's, Computing, For, If, One
related to Implementation in computer algebra systems · 3
Berlekamp's algorithm → Berlekamp's, PARI/GP, WolframAlpha
related to overview · 3
Berlekamp's algorithm → All, Berlekamp's, The
is a · 1
Berlekamp's algorithm → well-known method for factoring polynomials over finite fields

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algorithm mathbb textstyle displaystyle polynomials finite polynomial berlekamp field berlekamp's subalgebra algebra ring computing fix text matrix gcd may factor

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SubjectPredicateObjectConfidenceSrc
Berlekamp's algorithmis awell-known method for factoring polynomials over finite fields0.90text
Berlekamp's algorithmhas applicationOne0.60section
Berlekamp's algorithmhas applicationBerlekamp's0.60section
Berlekamp's algorithmhas applicationComputing0.60section
Berlekamp's algorithmhas applicationFor0.60section
Berlekamp's algorithmhas applicationIf0.60section
Berlekamp's algorithmrelated to Conceptual algebraic explanationWith0.60section
Berlekamp's algorithmrelated to Conceptual algebraic explanationBerlekamp's0.60section
Berlekamp's algorithmrelated to Conceptual algebraic explanationWe0.60section
Berlekamp's algorithmrelated to Conceptual algebraic explanationNow0.60section
Berlekamp's algorithmrelated to Conceptual algebraic explanationThen0.60section
Berlekamp's algorithmrelated to Conceptual algebraic explanationChinese0.60section

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