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单词 Number Theoretic Transform
释义

Number Theoretic Transform

Simplemindedly, a number theoretic transform is a generalization of a Fast Fourier Transform obtained by replacing with an th Primitive Root of Unity. This effectively means doing a transform over theQuotient Ring instead of the Complex Numbers . The theory israther elegant and uses the language of Finite Fields and Number Theory.

See also Fast Fourier Transform, Finite Field


References

Arndt, J. ``Numbertheoretic Transforms (NTTs).'' Ch. 4 in ``Remarks on FFT Algorithms.'' http://www.jjj.de/fxt/.

Cohen, H. A Course in Computational Algebraic Number Theory. New York: Springer-Verlag, 1993.


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