Results 241 to 250 of about 5,753 (265)
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Code Generation for Polynomial Multiplication
2009We discuss the family of "divide-and-conquer" algorithms for polynomial multiplication, that generalize Karatsuba's algorithm. We give explicit versions of transposed and short products for this family of algorithms and describe code generation techniques that result in high-performance implementations.
Ling Ding, Éric Schost
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POLYNOMIALS WITH MULTIPLE ROOTS AT 1
International Journal of Number Theory, 2014We prove that every polynomial P(x) = 1 + a1x + ⋯ + adxd∈ ℂ[x] has a root at x = 1 of order at most [Formula: see text], where ε > 0, provided that the quantities H*(P) = max1 ≤ j ≤ d|aj| and d/ log H*(P) are sufficiently large (the order of the root of P at x = 1 is zero if P(1) ≠ 0).
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Multiple Comparisons of Polynomial Distributions
Biometrical Journal, 1984AbstractAsymptotically correct 90 and 95 percentage points are given for multiple comparisons with control and for all pair comparisons of several independent samples of equal size from polynomial distributions. Test statistics are the maxima of the X2‐statistics for single comparisons. For only two categories the asymptotic distributions of these test
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On the Multiplicative Property of Indicial Polynomials
Computational Mathematics and Mathematical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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FPGA Implementation of a Run-Time Configurable NTT-Based Polynomial Multiplication Hardware
Microprocessors and Microsystems, 2020Erkay SAVAS +2 more
exaly
Bivariate Polynomial Codes for Secure Distributed Matrix Multiplication
IEEE Journal on Selected Areas in Communications, 2022Jesus Gomez-Vilardebo +2 more
exaly
A Hardware Accelerator for Polynomial Multiplication Operation of CRYSTALS-KYBER PQC Scheme
2021Erkay SAVAS +2 more
exaly
On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials
SIAM Journal on Computing, 1973Michael S Paterson
exaly
Sparse Polynomial Multiplication for Lattice-Based Cryptography With Small Complexity
Journal of Supercomputing, 2016Sedat Akleylek, Erdem Alkım
exaly

