Results 21 to 30 of about 442,454 (245)
Montgomery Reduction for Gaussian Integers
Cryptography, 2021 Modular arithmetic over integers is required for many cryptography systems. Montgomery reduction is an efficient algorithm for the modulo reduction after a multiplication. Typically, Montgomery reduction is used for rings of ordinary integers.
Malek Safieh, Jürgen Freudenberger
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Algorithms for estimating modular numbers in floating-point arithmetic
Наука. Инновации. Технологии, 2022 In the residue number system (RNS), the operations of addition, subtraction, and multiplication are executed in parallel for different digits (residues) of the modular numbers.
Konstantin Sergeevich Isupov
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A Multiprocessor Architecture Using Modular Arithmetic for Very High Precision Computation
, 1989 We outline a multiprocessor architecture that uses modular arithmetic to implement numerical computation with 900 bits of intermediate precision.
Wu, Henry M., Henry M. Wu
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Bio-Inspired Constant-Time Arithmetic Kernels in Hybrid Membrane–Neural Spiking P Systems
MathematicsThis work introduces Hybrid Membrane–Neural P systems (HMN P systems), a computational model that integrates principles from membrane computing and spiking neural P systems. The resulting framework offers a versatile foundation for the development of bio-
Eduardo Vázquez +7 more
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Arithmetic of metaplectic modular forms [PDF]
, 2019 Modular forms came to the attention of number theorists through the wealth of their arithmetic behaviour, the development and applications of which continue to surprise.
Mercuri, Salvatore Marco
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A Modular Framework for Generic Quantum Algorithms
Mathematics, 2022 We describe a general-purpose framework to design quantum algorithms. This framework relies on two pillars: a basic data structure called quantum matrix and a modular structure based on three quasi-independent modules.
Alberto Manzano +6 more
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Spreadsheet Conditional Formatting Illuminates Investigations into Modular Arithmetic
, 2011 Modular arithmetic has often been regarded as something of a mathematical curiosity, at least by those unfamiliar with its importance to both abstract algebra and number theory, and with its numerous applications.
Sugden, Stephen +3 more
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MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
FEBS Open Bio, EarlyView.MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source
Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
Forum of Mathematics, SigmaWe construct explicit generating series of arithmetic extensions of Kudla’s special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Chow ...
Congling Qiu, Yujie Xu
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