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Schönhage–Strassen algorithm

The Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers, published by Arnold Schönhage and Volker Strassen in 1971. It works by recursively applying fast Fourier transform (FFT) over the integers modulo 2 n + 1 {\displaystyle 2^{n}+1} . The run-time bit complexity to multiply two n-digit numbers using the…

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Schönhage–Strassen algorithm

Nodes36
Edges35
Triples13
Avg. degree1.94
Density0.055556
Components1

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Schönhage–Strassen algorithm

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related to Why N = 2M + 1 mod N · 6
Schönhage–Strassen algorithm → By, Having, In Schönhage, Strassen, This, Using
is a · 1
Schönhage–Strassen algorithm → asymptotically fast multiplication algorithm for large integers

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displaystyle algorithm multiplication number one product using numbers mod transform fft schönhage strassen integers bits equiv -1 use root modulo

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SubjectPredicateObjectConfidenceSrc
Schönhage–Strassen algorithmis aasymptotically fast multiplication algorithm for large integers0.90text
Karatsubainstance ofIt is asymptotically faster than older methods0.80text
Toominstance ofIt is asymptotically faster than older methods0.80text
the Great Internet Mersenne Prime Searchinstance ofStrassen algorithm include large computations done for their own sake0.80text
approximations of πinstance ofStrassen algorithm include large computations done for their own sake0.80text
as well as practical applications such as Lenstra elliptic curve factorization via Kronecker substitutioninstance ofStrassen algorithm include large computations done for their own sake0.80text
which reduces polynomial multiplication to integer multiplicationinstance ofStrassen algorithm include large computations done for their own sake0.80text
Schönhage–Strassen algorithmrelated to Why N = 2M + 1 mod NIn Schönhage0.60section
Schönhage–Strassen algorithmrelated to Why N = 2M + 1 mod NStrassen0.60section
Schönhage–Strassen algorithmrelated to Why N = 2M + 1 mod NThis0.60section
Schönhage–Strassen algorithmrelated to Why N = 2M + 1 mod NBy0.60section
Schönhage–Strassen algorithmrelated to Why N = 2M + 1 mod NUsing0.60section

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