G06F 7/728
Using montgomery reduction
Official title: {using Montgomery reduction}
G06F7/728 (Using montgomery reduction) appears on 210 US grants and 191 published applications in this corpus.
Search patents in G06F- Granted patents
- 210
- Published applications
- 191
- Assignees
- 123
- Inventors
- 342
- Latest grant
- 16 Jun 2026
Filings by year
| Year | Granted patents | Published applications |
|---|---|---|
| 1992 | 1 | 0 |
| 1993 | 1 | 0 |
| 1994 | 1 | 0 |
| 1995 | 1 | 0 |
| 1996 | 2 | 0 |
| 1997 | 1 | 0 |
| 1998 | 6 | 0 |
| 1999 | 6 | 0 |
| 2000 | 6 | 0 |
| 2001 | 10 | 2 |
| 2002 | 9 | 20 |
| 2003 | 9 | 14 |
| 2004 | 9 | 20 |
| 2005 | 7 | 11 |
| 2006 | 12 | 14 |
| 2007 | 11 | 6 |
| 2008 | 8 | 2 |
| 2009 | 10 | 10 |
| 2010 | 13 | 13 |
| 2011 | 9 | 8 |
| 2012 | 7 | 7 |
| 2013 | 11 | 6 |
| 2014 | 10 | 3 |
| 2015 | 7 | 2 |
| 2016 | 3 | 4 |
| 2017 | 5 | 3 |
| 2018 | 1 | 9 |
| 2019 | 6 | 2 |
| 2020 | 4 | 1 |
| 2021 | 3 | 3 |
| 2022 | 5 | 8 |
| 2023 | 2 | 9 |
| 2024 | 6 | 5 |
| 2025 | 3 | 4 |
| 2026 | 5 | 5 |
By publication year. Applications have been published since 2001. 2026 runs to 8 Oct.
Recent patents
- Sign-based partial reduction of modular operations in arithmetic logic units16 Jun 2026US 12,657,007 B2Cryptography Research, Inc.
- Device and method of handling a modular multiplication24 Mar 2026US 12,585,433 B2PUFsecurity Corporation
- Accelerator generating enable signal17 Mar 2026US 12,580,729 B2Electronics and Telecommunications Research Institute
- Integrated circuit for modular multiplication of two integers for a cryptographic method, and method for the cryptographic processing of data based on modular multiplication10 Feb 2026US 12,547,376 B2Infineon Technologies AG
- Numerical value conversion method and numerical value conversion system with low hardware complexity and high operation efficiency3 Feb 2026US 12,542,664 B2PUFsecurity Corporation
- Security device and method for performing integer multiplication operation26 Mar 2026US 2026/0086771 A1Samsung Electronics Co., Ltd.
- Montgomery Reduction in Cryptographic Operations26 Mar 2026US 2026/0086772 A1
- Multiplier for masking-based modular multiplication operation, encryption device including the same and method5 Mar 2026US 2026/0064365 A1Samsung Electronics Co., Ltd.
- Montgomery multiplier architecture26 Feb 2026US 2026/0058793 A1Microsoft Technology Licensing, LLC
- Methods for Determining a Gaussian Integer Congruent to a Given Gaussian Integer Modulo a Gaussian Integer Modulus and for Determining a Reduction of a Given Gaussian Integer Modulo a Gaussian Integer Modulus8 Jan 2026US 2026/0010347 A1Siemens Aktiengesellschaft
Most cited
By later US patents
- Apparatus and method for modular multiplication and exponentiation based on montgomery multiplication98US 6,748,410 B1M-Systems Flash Disk Pioneers Ltd. · 2004
- Compact microelectronic device for performing modular multiplication and exponentiation over large numbers64US 5,513,133 AFortress U&T Ltd. · 1996
- Scheme for computing Montgomery division and Montgomery inverse realizing fast implementation61US 6,088,453 AKabushiki Kaisha Toshiba · 2000
- Apparatus & method for modular multiplication & exponentiation based on Montgomery multiplication55US 6,185,596 B2Fortress U&T Ltd. · 2001
- Method of and apparatus for encryption and decryption of communication data53US 5,321,752 ACanon Kabushiki Kaisha · 1994