Introduction to Montgomery Multiplication

Energy-Efficient Modular Exponential Techniques for Public-Key Cryptography ◽

10.1007/978-3-030-74524-0_6 ◽

2021 ◽

pp. 121-133

Author(s):

Satyanarayana Vollala ◽

N. Ramasubramanian ◽

Utkarsh Tiwari

Keyword(s):

Montgomery Multiplication

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

TENCON 2018 - 2018 IEEE Region 10 Conference ◽

10.1109/tencon.2018.8650219 ◽

2018 ◽

Author(s):

Naoki Fujieda ◽

Yusuke Ayuzawa ◽

Masato Hongo ◽

Shuichi Ichikawa

Keyword(s):

Montgomery Multiplication ◽

High Radix

Parallelism exploitation of montgomery multiplication in RNS on NoC-based platform

2014 12th IEEE International Conference on Solid-State and Integrated Circuit Technology (ICSICT) ◽

10.1109/icsict.2014.7021573 ◽

2014 ◽

Author(s):

Renfeng Dou ◽

Jun Han ◽

Xiaoyang Zeng

Keyword(s):

Montgomery Multiplication

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

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2014.2387681 ◽

2015 ◽

Vol 62 (4) ◽

pp. 377-381 ◽

Cited By ~ 7

Author(s):

Siavash Bayat-sarmadi ◽

Mohammad Farmani

Keyword(s):

High Throughput ◽

Low Complexity ◽

Montgomery Multiplication

On multiple precision based Montgomery multiplication without precomputation of N'/sub 0/=-N/sub 0//sup -1/ mod W

Proceedings 2000 International Conference on Computer Design ◽

10.1109/iccd.2000.878350 ◽

2002 ◽

Author(s):

H. Ploog ◽

D. Timmermann

Keyword(s):

Montgomery Multiplication ◽

Multiple Precision

Attacking RSA–CRT Signatures with Faults on Montgomery Multiplication

Cryptographic Hardware and Embedded Systems – CHES 2012 - Lecture Notes in Computer Science ◽

10.1007/978-3-642-33027-8_26 ◽

2012 ◽

pp. 447-462 ◽

Cited By ~ 7

Author(s):

Pierre-Alain Fouque ◽

Nicolas Guillermin ◽

Delphine Leresteux ◽

Mehdi Tibouchi ◽

Jean-Christophe Zapalowicz

Keyword(s):

Montgomery Multiplication

Design of Montgomery Multiplication Architecture Based on Programmable Cellular Automata

Computational Intelligence ◽

10.1111/j.0824-7935.2004.00248.x ◽

2004 ◽

Vol 20 (3) ◽

pp. 495-502 ◽

Cited By ~ 10

Author(s):

Jun-Cheol Jeon ◽

Kee-Young Yoo

Keyword(s):

Cellular Automata ◽

Montgomery Multiplication

pSHS: A scalable parallel software implementation of Montgomery multiplication for multicore systems

2010 Design, Automation & Test in Europe Conference & Exhibition (DATE 2010) ◽

10.1109/date.2010.5456935 ◽

2010 ◽

Author(s):

Zhimin Chen ◽

Patrick Schaumont

Keyword(s):

Software Implementation ◽

Multicore Systems ◽

Montgomery Multiplication ◽

Parallel Software

Architectural Enhancements for Montgomery Multiplication on Embedded RISC Processors

Applied Cryptography and Network Security - Lecture Notes in Computer Science ◽

10.1007/978-3-540-45203-4_32 ◽

2003 ◽

pp. 418-434 ◽

Cited By ~ 6

Author(s):

Johann Großschädl ◽

Guy-Armand Kamendje

Keyword(s):

Montgomery Multiplication

No Silver Bullet: Optimized Montgomery Multiplication on Various 64-Bit ARM Platforms

10.1007/978-3-030-89432-0_16 ◽

2021 ◽

pp. 194-205

Author(s):

Hwajeong Seo ◽

Pakize Sanal ◽

Wai-Kong Lee ◽

Reza Azarderakhsh

Keyword(s):

Montgomery Multiplication ◽

Silver Bullet

Hardware Realization of Montgomery Multiplication with Radix-2

Energy-Efficient Modular Exponential Techniques for Public-Key Cryptography ◽

10.1007/978-3-030-74524-0_7 ◽

2021 ◽

pp. 135-162

Author(s):

Satyanarayana Vollala ◽

N. Ramasubramanian ◽

Utkarsh Tiwari

Keyword(s):

Montgomery Multiplication ◽

Hardware Realization