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Number theoretic transforms (NTTs)
2010We introduce the number theoretic transforms (NTTs). The routines for the fast NTTs are rather straightforward translations of the FFT algorithms. Radix-2 and radix-4 routines are given, there should be no difficulty to translate any given complex FFT into the equivalent NTT.
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PipeNTT: A Pipelined Number Theoretic Transform Architecture
IEEE Transactions on Circuits and Systems II: Express Briefs, 2022Zewen Ye, Ray C. C. Cheung, Kejie Huang
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Pattern Analysis under Number Theoretic Transforms
2012Number Theoretic Transforms (NTT) are integer-valued transforms that may be applied for signal processing. Particularly the Mersenne and the Fermat Transforms are interesting, since being close related to special powers of two, at the computational level, product operations needed for convolution may be efficiently reduced to shift operations.
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Efficient Pseudo-Random Number Generator Using Number-Theoretic Transform
Lecture Notes in Networks and Systems, 2023Anupama Arjun Paṇḍit +2 more
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Number Theoretic Transform: Generalization, Optimization, Concrete Analysis and Applications
Lecture Notes in Computer Science, 2021Shiyu Shen, Guoyun Zhang, Yunlei Zhao
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IEEE Transactions on Circuits and Systems for Video Technology, 2020
JOSÉ R De Oliveira Neto +2 more
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JOSÉ R De Oliveira Neto +2 more
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IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2023
Ausmita Sarker +2 more
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Ausmita Sarker +2 more
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Accelerating number theoretic transform in GPU platform for fully homomorphic encryption
Journal of Supercomputing, 2020Wai-Kong Lee +2 more
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An Implementation of Parallel Number-Theoretic Transform Using Intel AVX-512 Instructions
Lecture Notes in Computer Science, 2022Ｄａｉｓｕｋｅ Takahashi +1 more
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