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• W2045826589 abstract "It is well known that Discrete Fourier Transform (DFT) techniques may be used to multiply large integers. We introduce the concept of Discrete Weighted Transforms (DWTs) which, in certain situations, substantially improve the speed of multiplication by obviating costly zero-padding of digits. In particular, when arithmetic is to be performed modulo Fermat Numbers ${2^{{2^m}}} + 1$, or Mersenne Numbers ${2^q} - 1$, weighted transforms effectively reduce FFT run lengths. We indicate how these ideas can be applied to enhance known algorithms for general multiplication, division, and factorization of large integers." @default.
• W2045826589 created "2016-06-24" @default.
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• W2045826589 date "1994-01-01" @default.
• W2045826589 modified "2023-09-27" @default.
• W2045826589 title "Discrete Weighted Transforms and Large-Integer Arithmetic" @default.
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• W2045826589 doi "https://doi.org/10.2307/2153411" @default.
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