Two hardware implementations for the Montgomery modular multiplication: sequential versus parallel

Proceedings. 15th Symposium on Integrated Circuits and Systems Design ◽

10.1109/sbcci.2002.1137629 ◽

2003 ◽

Author(s):

N. Nedjah ◽

L. de Macedo Mourelle

Keyword(s):

Modular Multiplication ◽

Montgomery Modular Multiplication ◽

Hardware Implementations

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Fast Montgomery Modular Multiplication and Squaring on Embedded Processors

IEICE Transactions on Communications ◽

10.1587/transcom.2016ebp3189 ◽

2017 ◽

Vol E100.B (5) ◽

pp. 680-690 ◽

Author(s):

Yang LI ◽

Jinlin WANG ◽

Xuewen ZENG ◽

Xiaozhou YE

Keyword(s):

Embedded Processors ◽

Modular Multiplication ◽

Montgomery Modular Multiplication

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An Efficient Signed Digit Montgomery Modular Multiplication Algorithm

Microelectronics Journal ◽

10.1016/j.mejo.2021.105099 ◽

2021 ◽

pp. 105099

Author(s):

ShiLei Zhao ◽

Hai Huang ◽

ZhiWei Liu ◽

Bin Yu ◽

Bo Yu

Keyword(s):

Modular Multiplication ◽

Multiplication Algorithm ◽

Montgomery Modular Multiplication

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Faster Montgomery Modular Multiplication without Pre-computational Phase For Some Classes of Finite Fields

Lecture Notes in Electrical Engineering - Computer and Information Sciences ◽

10.1007/978-90-481-9794-1_75 ◽

2010 ◽

pp. 405-408

Author(s):

Sedat Akleylek ◽

Murat Cenk ◽

Ferruh Özbudak

Keyword(s):

Finite Fields ◽

Modular Multiplication ◽

Montgomery Modular Multiplication

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High-performance, low-power architecture for scalable radix 2 montgomery modular multiplication algorithm

Canadian Journal of Electrical and Computer Engineering ◽

10.1109/cjece.2009.5599422 ◽

2009 ◽

Vol 34 (4) ◽

pp. 152-157 ◽

Author(s):

Atef Ibrahim ◽

Fayez Gebali ◽

Hamed El-Simary ◽

Amin Nassar

Keyword(s):

Low Power ◽

High Performance ◽

Modular Multiplication ◽

Multiplication Algorithm ◽

Montgomery Modular Multiplication ◽

Power Architecture

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Fault Detection in RNS Montgomery Modular Multiplication

2013 IEEE 21st Symposium on Computer Arithmetic ◽

10.1109/arith.2013.31 ◽

2013 ◽

Author(s):

J. Bajard ◽

J. Eynard ◽

F. Gandino

Keyword(s):

Fault Detection ◽

Modular Multiplication ◽

Montgomery Modular Multiplication

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Applications to montgomery modular multiplication of karatsuba multiplication without overlapped summation

2017 International Conference on Electron Devices and Solid-State Circuits (EDSSC) ◽

10.1109/edssc.2017.8126447 ◽

2017 ◽

Author(s):

Zhen Gu ◽

Shuguo Li

Keyword(s):

Modular Multiplication ◽

Montgomery Modular Multiplication

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High radix montgomery modular multiplication on FPGA

2013 8th IEEE Design and Test Symposium ◽

10.1109/idt.2013.6727148 ◽

2013 ◽

Author(s):

Anane Mohamed ◽

Anane Nadjia

Keyword(s):

Modular Multiplication ◽

Montgomery Modular Multiplication ◽

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Design and implementation of different architectures of montgomery modular multiplication

2017 2nd IEEE International Conference on Recent Trends in Electronics, Information & Communication Technology (RTEICT) ◽

10.1109/rteict.2017.8256768 ◽

2017 ◽

Author(s):

S Kavyashree ◽

B V Uma

Keyword(s):

Modular Multiplication ◽

Design And Implementation ◽

Montgomery Modular Multiplication

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Word-Based Montgomery Modular Multiplication Algorithm for Low-Latency Scalable Architectures

IEEE Transactions on Computers ◽

10.1109/tc.2010.72 ◽

2010 ◽

Vol 59 (8) ◽

pp. 1145-1151 ◽

Author(s):

Ming-Der Shieh ◽

Wen-Ching Lin

Keyword(s):

Low Latency ◽

Modular Multiplication ◽

Scalable Architectures ◽

Multiplication Algorithm ◽

Montgomery Modular Multiplication

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Processor Array Architectures for Scalable Radix 4 Montgomery Modular Multiplication Algorithm

IEEE Transactions on Parallel and Distributed Systems ◽

10.1109/tpds.2010.196 ◽

2011 ◽

Vol 22 (7) ◽

pp. 1142-1149 ◽

Author(s):

Atef Ibrahim ◽

Fayez Gebali ◽

Hamed Elsimary ◽

Amin Nassar

Keyword(s):

Processor Array ◽

Modular Multiplication ◽

Multiplication Algorithm ◽

Montgomery Modular Multiplication

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