Articles with "number theoretic" as a keyword



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A number-theoretic framework for the mitigation of fragmentation loss in elastic optical links

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Published in 2022 at "Photonic Network Communications"

DOI: 10.1007/s11107-022-00962-2

Abstract: This paper addresses the problem of minimizing total slot idle time in assigning spectrum to a 2-class traffic, considering both incremental and dynamic arrival and permanence rules. Deadlock avoidance under incremental traffic is first shown… read more here.

Keywords: theoretic framework; mitigation fragmentation; number theoretic; traffic ... See more keywords
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Number-theoretic positive entropy shifts with small centralizer and large normalizer

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Published in 2020 at "Ergodic Theory and Dynamical Systems"

DOI: 10.1017/etds.2020.111

Abstract: Abstract Higher-dimensional binary shifts of number-theoretic origin with positive topological entropy are considered. We are particularly interested in analysing their symmetries and extended symmetries. They form groups, known as the topological centralizer and normalizer of… read more here.

Keywords: positive entropy; number; theoretic positive; number theoretic ... See more keywords
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Configurable Mixed-Radix Number Theoretic Transform Architecture for Lattice-Based Cryptography

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Published in 2022 at "IEEE Access"

DOI: 10.1109/access.2022.3145988

Abstract: Lattice-based cryptography continues to dominate in the second-round finalists of the National Institute of Standards and Technology post-quantum cryptography standardization process. Computational efficiency is primarily considered to evaluate promising candidates for final round selection. In… read more here.

Keywords: based cryptography; lattice based; architecture; number theoretic ... See more keywords
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Dynamic Joint Frequency Offset and Phase Noise Tracking by Number-Theoretic Net-Based Gaussian Particle Filter in Coherent Optical Systems

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Published in 2022 at "IEEE Communications Letters"

DOI: 10.1109/lcomm.2022.3158744

Abstract: A number-theoretic net (NT-net)-based Gaussian particle filter (NT-GPF) is proposed for the joint estimation of frequency offset (FO) and linear phase noise (LPN) in a dynamic and real-time manner. Based on the concept of uniform… read more here.

Keywords: noise; number; net based; number theoretic ... See more keywords
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Area-Efficient Number Theoretic Transform Architecture for Homomorphic Encryption

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Published in 2023 at "IEEE Transactions on Circuits and Systems I: Regular Papers"

DOI: 10.1109/tcsi.2022.3225208

Abstract: Homomorphic encryption (HE) has emerged as an ideal cryptographic technology for meaningful computations on encrypted data. Not only does HE secure private information even if the ciphertext is leaked, but it also maintains data integrity… read more here.

Keywords: homomorphic encryption; area efficient; number; theoretic transform ... See more keywords
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PipeNTT: A Pipelined Number Theoretic Transform Architecture

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Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"

DOI: 10.1109/tcsii.2022.3184703

Abstract: Polynomial multiplication is the key and time-consuming operation among various operators in Post-Quantum Cryptography (PQC), which aims to find quantum-resistant algorithms to prevent attacks launched by quantum computers. Number Theoretic Transform (NTT) is an efficient… read more here.

Keywords: tex math; theoretic transform; inline formula; architecture ... See more keywords
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Rethinking Parallel Memory Access Pattern in Number Theoretic Transform Design

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Published in 2023 at "IEEE Transactions on Circuits and Systems II: Express Briefs"

DOI: 10.1109/tcsii.2023.3260811

Abstract: Number theoretic transform (NTT) is widely applied as a fundamental component of next-generation cryptosystems. This brief introduces a novel high-low interactive memory access pattern for an out-of-place NTT design, which can be configurable in degree… read more here.

Keywords: memory access; number; theoretic transform; design ... See more keywords
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MeNTT: A Compact and Efficient Processing-in-Memory Number Theoretic Transform (NTT) Accelerator

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Published in 2022 at "IEEE Transactions on Very Large Scale Integration (VLSI) Systems"

DOI: 10.1109/tvlsi.2022.3151321

Abstract: Lattice-based cryptography (LBC), exploiting learning with error (LWE) problems, is a promising candidate for postquantum cryptography. The number theoretic transform (NTT) is the latency- and energy-dominant process in the computation of LWE problems. This article… read more here.

Keywords: theoretic transform; ntt; compact efficient; number theoretic ... See more keywords