Results 31 to 40 of about 5,753 (265)
On Littlewood and Newman polynomial multiples of Borwein polynomials
Mathematics of Computation, 2017 Polynomials with coefficients in the sets \(\{-1,1\}\), \(\{0,1\}\) and \(\{-1,0,1\}\) are called Littlewood-Newman-Borwein polynomials, respectively. In [Math. Comput. 78, No. 265, 327--344 (2009; Zbl 1208.11123)], the reviewer and the second author investigated various divisibility relations between these three sets of polynomials.
Paulius Drungilas +2 more
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On the Multiplication of Schubert Polynomials
Advances in Applied Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Karatsuba-Ofman Multiplier with Integrated Modular Reduction for GF(2m)
Advances in Electrical and Computer Engineering, 2013 In this paper a novel GF(2m) multiplier based on Karatsuba-Ofman Algorithm is presented. A binary field multiplication in polynomial basis is typically viewed as a two steps process, a polynomial multiplication followed by a modular reduction step ...
CUEVAS-FARFAN, E. +6 more
doaj +1 more source
Efficient Homomorphic Encryption Accelerator With Integrated PRNG Using Low-Cost FPGA
IEEE Access, 2022 With recent development in internet speed and reliability, cloud computing has become a more reliable solution for the user. In many cases where data privacy is critical, fully homomorphic encryption (FHE) can be a security solution for securing cloud ...
Infall Syafalni +4 more
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Polynomials and the exponent of matrix multiplication
Bulletin of the London Mathematical Society, 2018 14 pages + appendix of 3 pages with numerical ...
Luca Chiantini +4 more
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Transactions on Cryptographic Hardware and Embedded Systems, 2020 In this paper, we present an instruction set coprocessor architecture for lattice-based cryptography and implement the module lattice-based post-quantum key encapsulation mechanism (KEM) Saber as a case study.
Sujoy Sinha Roy, Andrea Basso
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Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity [PDF]
Opuscula Mathematica, 2020 In this paper we consider the semilinear wave equation with the multiplication of logarithmic and polynomial nonlinearities. We establish the global existence and finite time blow up of solutions at three different energy levels (\(E(0)\lt d\), \(E(0)=d\)
Wei Lian, Md Salik Ahmed, Runzhang Xu
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Multiplying Polynomials without Powerful Multiplication Instructions
Transactions on Cryptographic Hardware and Embedded SystemsWe improve the performance of lattice-based cryptosystems Dilithium on Cortex-M3 with expensive multiplications. Our contribution is two-fold: (i) We generalize Barrett multiplication and show that the resulting shape-independent modular multiplication ...
Vincent Hwang +2 more
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Polynomial degree reduction in the L2-norm on a symmetric interval for the canonical basis
Results in Applied Mathematics, 2021 In this paper, we develop a direct formula for determining the coefficients in the canonical basis of the best polynomial of degree M that approximates a polynomial of degree N>Mon a symmetric interval for the L2-norm.
Habib Ben Abdallah +2 more
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source