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An implementation of parallel number-theoretic transform using Intel AVX-512 instructions

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Publication:2109992
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DOI10.1007/978-3-031-14788-3_18OpenAlexW4298363122MaRDI QIDQ2109992

Daisuke A. Takahashi

Publication date: 21 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-14788-3_18


zbMATH Keywords

modular multiplicationnumber-theoretic transformIntel AVX-512 instructions


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)



Uses Software

  • NTL
  • libclang
  • GitHub


Cites Work

  • FFT algorithms for vector computers
  • Faster arithmetic for number-theoretic transforms
  • Modular Multiplication Without Trial Division
  • Automatic Parallel Library Generation for General-Size Modular FFT Algorithms
  • An Algorithm for the Machine Calculation of Complex Fourier Series
  • The Fast Fourier Transform in a Finite Field
  • Unnamed Item


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