On Dual Lattice Attacks Against Small-Secret LWE and Parameter Choices in HElib and SEAL

2017 ◽  
pp. 103-129 ◽  
Author(s):  
Martin R. Albrecht
Keyword(s):  
Dual Lattice

Dual lattice incommensurabilities and enhanced lattice perfection by low-temperature thermal annealing in photoelectric (CH3NH3)PbBr3

2021 ◽  
Vol 5 (2) ◽  
Author(s):  
Wen-Hsien Li ◽  
Chi-Hung Lee ◽  
Tsu-Yin Ling ◽  
Ma-Hsuan Ma ◽  
Pai-Chun Wei ◽  
...  
Keyword(s):  
Low Temperature ◽  
Thermal Annealing ◽  
Dual Lattice

scholarly journals Generation of over 1000 Diffraction Spots from 2D Graded Photonic Super-Crystals

Photonics ◽  
2020 ◽  
Vol 7 (2) ◽  
pp. 27
Author(s):  
Safaa Hassan ◽  
Yan Jiang ◽  
Khadijah Alnasser ◽  
Noah Hurley ◽  
Hualiang Zhang ◽  
...  
Keyword(s):  
Diffraction Pattern ◽  
Cell Size ◽  
Lattice Constant ◽  
Field Intensity ◽  
Lattice Model ◽  
Dual Lattice ◽  
First Order ◽  
Super Cell ◽  
First Time ◽  
Fractional Orders

For the first time, we are able to generate over 1000 diffraction spots from a graded photonic super-crystal with a unit super-cell size of 12a × 12a where a is the lattice constant and hole radii are gradually changed in dual directions. The diffraction pattern from the graded photonic super-crystal reveals unique diffraction properties. The first order diffractions of (±1,0) or (0,±1) disappear. Fractional diffraction orders are observed in the diffraction pattern inside a square with vertices of (1,1), (1,−1), (−1,−1) and (−1,−1). The fractional diffraction can be understood from lattices with a period of a. However, a dual-lattice model is considered in order to explain higher-order diffractions. E-field intensity simulations show a coupling and re-distribution among fractional orders of Bloch waves. There are a total of 12 × 12 spots in E-field intensity in the unit supercell corresponding to 12 × 12 fractional diffraction orders in the diffraction pattern and 12 × 12 fractional orders of momentum in the first Brillouin zone in k-space.

Nonlinear Dual Lattice

1993 ◽  
pp. 286-292
Author(s):  
Morikazu TODA ◽  
Yoshiko OKADA ◽  
Shinsuke WATANABE
Keyword(s):  
Dual Lattice

Nonlinear Dual Lattice

1990 ◽  
Vol 59 (12) ◽  
pp. 4279-4285
Author(s):  
Morikazu Toda ◽  
Yoshiko Okada ◽  
Shinsuke Watanabe
Keyword(s):  
Dual Lattice

The distribution of positive and negative species interactions across environmental gradients on a dual-lattice model

2006 ◽  
Vol 241 (4) ◽  
pp. 896-902 ◽  
Author(s):  
J.M.J. Travis ◽  
R.W. Brooker ◽  
E.J. Clark ◽  
C. Dytham
Keyword(s):  
Lattice Model ◽  
Species Interactions ◽  
Environmental Gradients ◽  
Dual Lattice

Irredundant self-dual bases for self-dual lattice varieties

2005 ◽  
Vol 52 (4) ◽  
pp. 501-517
Author(s):  
David Kelly ◽  
R. Padmanabhan
Keyword(s):  
Dual Lattice

Quenched bond-mixed cubic ferromagnet in a planar self-dual lattice: Critical behavior

1993 ◽  
Vol 47 (18) ◽  
pp. 11940-11944 ◽  
Author(s):  
André M. C. de Souza ◽  
Constantino Tsallis ◽  
Ananias M. Mariz
Keyword(s):  
Critical Behavior ◽  
Dual Lattice

Quadratic rational rotations of the torus and dual lattice maps

Nonlinearity ◽  
2002 ◽  
Vol 15 (6) ◽  
pp. 1795-1842 ◽  
Author(s):  
K L Kouptsov ◽  
J H Lowenstein ◽  
F Vivaldi
Keyword(s):  
Dual Lattice ◽  
Rational Rotations

scholarly journals Anthropomorphic dual-lattice voxel models for optimizing image quality and dose

2017 ◽  
Vol 4 (1) ◽  
pp. 013509
Author(s):  
Nina Petoussi-Henss ◽  
Helmut Schlattl ◽  
Janine Becker ◽  
Matthias Greiter ◽  
Maria Zankl ◽  
...  
Keyword(s):  
Image Quality ◽  
Dual Lattice
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