scholarly journals Efficient Hardware Implementation of Large Field-Size Elliptic Curve Cryptographic Processor

IEEE Access ◽  
2022 ◽  
pp. 1-1
Author(s):  
Chiou-Yng Lee ◽  
Medien Zeghid ◽  
Anissa Sghaier ◽  
Hassan Yousif Ahmed ◽  
Jiafeng Xie
Keyword(s):  
Elliptic Curve ◽  
Hardware Implementation ◽  
Field Size ◽  
Large Field

scholarly journals Can we Beat the Square Root Bound for ECDLP over 𝔽p2 via Representation?

2020 ◽  
Vol 14 (1) ◽  
pp. 293-306
Author(s):  
Claire Delaplace ◽  
Alexander May
Keyword(s):  
Elliptic Curve ◽  
Quadratic Field ◽  
Discrete Logarithm ◽  
Field Size ◽  
Square Root ◽  
Multivariate Polynomial ◽  
Bivariate Polynomial ◽  
Testing Problem ◽  
Polynomial Zero ◽  
Representation Technique

AbstractWe give a 4-list algorithm for solving the Elliptic Curve Discrete Logarithm (ECDLP) over some quadratic field 𝔽p2. Using the representation technique, we reduce ECDLP to a multivariate polynomial zero testing problem. Our solution of this problem using bivariate polynomial multi-evaluation yields a p1.314-algorithm for ECDLP. While this is inferior to Pollard’s Rho algorithm with square root (in the field size) complexity 𝓞(p), it still has the potential to open a path to an o(p)-algorithm for ECDLP, since all involved lists are of size as small as $\begin{array}{} p^{\frac 3 4}, \end{array}$ only their computation is yet too costly.

scholarly journals Commissioning Measurements of Electron Beam Using Montecarlo Algorithm on Truebeam STx® and Compariaon with Clinac iX Linear Accelerator

2021 ◽  
Vol 229 ◽  
pp. 01041
Author(s):  
Kamal Saidi ◽  
Redouane El Baydaoui ◽  
Hanae El Gouach ◽  
Othmane Kaanouch ◽  
Mohamed Reda Mesradi
Keyword(s):  
Electron Beam ◽  
Electron Beams ◽  
Measured Data ◽  
University Hospital ◽  
Field Size ◽  
Large Field ◽  
Water Phantom ◽  
Depth Dose ◽  
International University ◽  
The Absolute

TrueBeam STx latest generation linear accelerators (linacs) installed at Sheikh Khalifa International University Hospital in Casablanca, Morocco. The aim of this is to present and compare the result of the Electron commissioning measurement on TrueBeam Stx and clinac iX installed at Sheikh Khalifa International University Hospital in Casablanca, Morocco. A compariaon of eMC calculations and measurements for TrueBeam Stx were evaluated. Dosimetric parameters are systematically measured using a large water phantom 3D scanning system MP3 Water Phantom (PTW, Freiburg, Germany). The data of the electron beams commissioning including depth dose curves for each applicator, depth dose curves without applicator and the profile in air for a large field size 40x 40cm2, and the Absolute Dose (cGy/MU) for each applicator. All the data were examined and compared for five electron beams (E6MeV, E9MeV, E12MeV, E16MeV and E20MeV) of Varian’s TrueBeam STx and Clinac iX machines. A comparison, between measurement PDDs and calculated by the Eclipse electron Monte Carlo (eMC) algorithm were performed to validate Truebeam Stx commissioning. All this measurements were performed with a Roos and Markus plane parallel chamber. Our measured data indicated that electron beam PDDs from the TrueBeam Stx machine are well matched to those from our Varian Clinac iX machine. Significant differences between TrueBeam and Clinac iX were found in in‐air profiles and open field output. Maximum depth dose for the TrueBeam Stx and Clinac iX for the following energies (6, 9, 12, 16, 20 MeV) are respectively (1.15; 1.89; 2.6; 3.1; and 2.35) and (1.24; 1.95; 2.70; 2.99 and 2.4cm). For the TrueBeam Stx and Clinac iX the quality index R50 for applicator 15x15 cm2 are in the tolerance intervals. Surface dose increases by increasing energy for both machines. The Absolute Dose (cGy/MU) calibrated for both machine in Dmax at 1cGy/MU for the reference field size cone 15x15 cm2. Bremsstrahlung tail Rp per energy levels as follows for the TrueBeam Stx : 6 MeV – 2.85 cm, 9 MeV – 4.28 cm, 12 MeV – 5.97 cm, 16 MeV – 7.88 cm and 20 MeV – 9.86 cm. and for the Clinac iX : 6 MeV – 2.86 cm, 9 MeV – 4.32 cm, 12 MeV – 5.96 cm, 16 MeV – 7.93 cm and 20 MeV – 10.08 cm. A good agreement between modeled and measured data is observed.

scholarly journals A method for selective intracellular labeling of immunostained neurons in turtle retina.

1993 ◽  
Vol 41 (4) ◽  
pp. 635-641 ◽  
Author(s):  
E Fernandez ◽  
H Kolb
Keyword(s):  
Substance P ◽  
Ganglion Cells ◽  
Lucifer Yellow ◽  
Dendritic Tree ◽  
Visual Control ◽  
Field Size ◽  
Large Field ◽  
Intracellular Staining ◽  
Good Penetration ◽  
Triton X

We describe a method for direct intracellular staining under visual control of immunolabeled neurons in the turtle retina. Substance P was the antiserum used. It labels two different sizes of ganglion cells in turtle retina. Intracellular labeling under visual control was achieved by iontophoresis of Lucifer yellow or Neurobiotin. The best immunolabeling of substance P-immunoreactive (SP-IR) ganglion cells occurred after either Triton X-100 or freeze-thaw techniques to get good penetration of the antisera. However, this inevitably resulted in leaky cells and inadequate morphology of the ganglion cells subsequently stained by Lucifer yellow and Neurobiotin. Most successful immunocytochemical labeling followed by intracellular labeling was achieved with light fixation (15 min in 4% paraformaldehyde) and long incubation time in the primary antiserum (4 days). Before intracellular labeling, dendritic tree shape, dendritic field size, and stratification of SP-IR ganglion cells were not sufficiently revealed for correct classification of these cells. After the selective intracellular staining described here, we were able to identify and characterize one of the populations of substance P-IR ganglion cells types as large-field, monostratified G20 ganglion cells.

scholarly journals Area-Time Efficient Hardware Implementation of Modular Multiplication for Elliptic Curve Cryptography

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 73898-73906 ◽  
Author(s):  
MD. Mainul Islam ◽  
MD. Selim Hossain ◽  
MD. Shahjalal ◽  
MOH. Khalid Hasan ◽  
Yeong Min Jang
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Hardware Implementation ◽  
Modular Multiplication
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