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- W2063741410 abstract "In this paper it is shown that modulo operations can be applied in Number Theoretic Transforms, instead of the usual shifts and additions. Fast Fourier Transform and Discrete Fourier Transform algorithms can be implemented on congruences modulo some chosen Pseudo Fermat and Pseudo Mersenne numbers with only permutations of bytes and modulo operations. The convolution theorem is shown to be valid even in certain non-commutative rings, i.e., tensor rings. Arbitrarily increasing the number of blocks in block recursive techniques yields algorithms of time O(n1+ϵ) for an arbitrarily small positive ϵ." @default.
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- W2063741410 title "Discrete convolution with modulo operations" @default.
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- W2063741410 doi "https://doi.org/10.1016/0893-9659(91)90135-i" @default.
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