High Radix Montgomery Multiplication

2021 ◽  
pp. 163-182
Author(s):  
Satyanarayana Vollala ◽  
N. Ramasubramanian ◽  
Utkarsh Tiwari
Keyword(s):  
Montgomery Multiplication ◽  
High Radix

A Multiple Clock Domain Design of High-radix Montgomery Multiplication for Simplicity

2018 ◽  
Author(s):  
Naoki Fujieda ◽  
Yusuke Ayuzawa ◽  
Masato Hongo ◽  
Shuichi Ichikawa
Keyword(s):  
Montgomery Multiplication ◽  
High Radix

Indications for Preservation Rhinoplasty: Avoiding Complications

2021 ◽  
Vol 37 (01) ◽  
pp. 045-052
Author(s):  
Mario Bazanelli Junqueira Ferraz ◽  
Guilherme Constante Preis Sella
Keyword(s):  
Nasal Bone ◽  
Nasal Dorsum ◽  
Ideal Candidate ◽  
Deviated Nose ◽  
Lateral Osteotomy ◽  
Upper Lateral Cartilage ◽  
High Radix ◽  
The One ◽  
Different Levels ◽  
The Ideal

AbstractNasal dorsal preservation surgery was described more than 100 years ago, but recently has gained prominence. Our objective is to show the surgical technique, the main indications and counterindications, and the complications. It is a technique that does not cause the detachment of the upper lateral cartilage (ULC) from the nasal septum, and has the main following sequence: preparation of the septum and its resection can be at different levels (high or low, i.e., SPAR [septum pyramidal adjustment and repositioning] A or B); preparation of the pyramid; transversal osteotomy; lateral osteotomy(s); and septopyramidal adjustment. The result is a nose with a lower radix than the original, a deprojection of the nasal dorsum tending to maintain its original shape; an increase in the interalar distance (IAD) and enlargement of the nasal middle ⅓; and loss of projection of the nasal tip and roundness of the nostrils. Thus, the ideal candidate is the one who benefits from such side effects, that is: tension nose, that is, high radix with projected dorsum, projected anterior nasal septal angle (ANSA), narrow middle ⅓, narrow IAD, thin nostrils and straight perpendicular plate of the ethmoid (PPE), and, depending on the characteristics, the deviated nose. The counterindications are low radix, irregularities in the nasal dorsum, ANSA lower than rhinion, and a wide middle ⅓. And the main stigmas are: a nose with a very low radix, middle ⅓ enlarged, residual hump, and saddling of the supratip area. Other issues of this technique are: the shape of the radix; the need or not to remove PPE; wide dorsum; irregular dorsum; ANSA lower than rhinion; weak cartilages; long nasal bone; deviated PPE; and obsessive patient. We conclude that this is a great technique for noses with characteristics suitable to it; care must be taken with the stigmas it can cause.

A High-Radix, Low-Latency Optical Switch for Data Centers

2015 ◽  
Author(s):  
Dan Alistarh ◽  
Hitesh Ballani ◽  
Paolo Costa ◽  
Adam Funnell ◽  
Joshua Benjamin ◽  
...  
Keyword(s):  
Data Centers ◽  
Optical Switch ◽  
Low Latency ◽  
High Radix

scholarly journals An Architecture of Area-Effective High Radix Floating-Point Divider With Low-Power Consumption

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 40039-40048
Author(s):  
Yuheng Yang ◽  
Qing Yuan ◽  
Jian Liu
Keyword(s):  
Power Consumption ◽  
Low Power ◽  
Floating Point ◽  
Low Power Consumption ◽  
High Radix

The role of optics in future high radix switch design

2011 ◽  
Author(s):  
Nathan Binkert ◽  
Al Davis ◽  
Norman P. Jouppi ◽  
Moray McLaren ◽  
Naveen Muralimanohar ◽  
...  
Keyword(s):  
Switch Design ◽  
High Radix

MicroBlaze-Based Multiprocessor Embedded Cryptosystem on FPGA for Elliptic Curve Scalar Multiplication Over Fp

2019 ◽  
Vol 28 (03) ◽  
pp. 1950037 ◽  
Author(s):  
A. Bellemou ◽  
N. Benblidia ◽  
M. Anane ◽  
M. Issad
Keyword(s):  
Elliptic Curve ◽  
Scalar Multiplication ◽  
Security Level ◽  
Prime Field ◽  
Montgomery Modular Multiplication ◽  
Parallel Implementations ◽  
High Radix ◽  
System On Programmable Chip ◽  
Xilinx Fpga ◽  
Elliptic Curve Scalar Multiplication

In this paper, we present Microblaze-based parallel architectures of Elliptic Curve Scalar Multiplication (ECSM) computation for embedded Elliptic Curve Cryptosystem (ECC) on Xilinx FPGA. The proposed implementations support arbitrary Elliptic Curve (EC) forms defined over large prime field ([Formula: see text]) with different security-level sizes. ECSM is performed using Montgomery Power Ladder (MPL) algorithm in Chudnovsky projective coordinates system. At the low abstraction level, Montgomery Modular Multiplication (MMM) is considered as the critical operation. It is implemented within a hardware Accelerator MMM (AccMMM) core based on the modified high radix, [Formula: see text] MMM algorithm. The efficiency of our parallel implementations is achieved by the combination of the mixed SW/HW approach with Multi Processor System on Programmable Chip (MPSoPC) design. The integration of multi MicroBlaze processor in single architecture allows not only the flexibility of the overall system but also the exploitation of the parallelism in ECSM computation with several degrees. The Virtex-5 parallel implementations of 256-bit and 521-bis ECSM computations run at 100[Formula: see text]MHZ frequency and consume between 2,739 and 6,533 slices, 22 and 72 RAMs and between 16 and 48 DSP48E cores. For the considered security-level sizes, the delays to perform single ECSM are between 115[Formula: see text]ms and 14.72[Formula: see text]ms.

High-Throughput Low-Complexity Systolic Montgomery Multiplication Over $GF(2^{m})$ Based on Trinomials

2015 ◽  
Vol 62 (4) ◽  
pp. 377-381 ◽  
Author(s):  
Siavash Bayat-sarmadi ◽  
Mohammad Farmani
Keyword(s):  
High Throughput ◽  
Low Complexity ◽  
Montgomery Multiplication
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