ATE344487T1 - Reduzierung von komponenten in einer montgomery multiplikations-recheneinheit - Google Patents
Reduzierung von komponenten in einer montgomery multiplikations-recheneinheitInfo
- Publication number
- ATE344487T1 ATE344487T1 AT02761642T AT02761642T ATE344487T1 AT E344487 T1 ATE344487 T1 AT E344487T1 AT 02761642 T AT02761642 T AT 02761642T AT 02761642 T AT02761642 T AT 02761642T AT E344487 T1 ATE344487 T1 AT E344487T1
- Authority
- AT
- Austria
- Prior art keywords
- montgomery multiplication
- chain
- montgomery
- multiplication unit
- initial parameter
- Prior art date
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
- G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
- G06F7/728—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic using Montgomery reduction
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Mathematical Physics (AREA)
- General Engineering & Computer Science (AREA)
- Computing Systems (AREA)
- Complex Calculations (AREA)
- Executing Machine-Instructions (AREA)
- Photoreceptors In Electrophotography (AREA)
- Image Generation (AREA)
- Apparatus For Radiation Diagnosis (AREA)
- Diaphragms For Electromechanical Transducers (AREA)
- Television Systems (AREA)
- Logic Circuits (AREA)
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US09/966,044 US6625631B2 (en) | 2001-09-28 | 2001-09-28 | Component reduction in montgomery multiplier processing element |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| ATE344487T1 true ATE344487T1 (de) | 2006-11-15 |
Family
ID=25510848
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| AT02761642T ATE344487T1 (de) | 2001-09-28 | 2002-09-13 | Reduzierung von komponenten in einer montgomery multiplikations-recheneinheit |
Country Status (7)
| Country | Link |
|---|---|
| US (1) | US6625631B2 (de) |
| EP (1) | EP1430392B1 (de) |
| CN (1) | CN100356317C (de) |
| AT (1) | ATE344487T1 (de) |
| DE (1) | DE60215835T2 (de) |
| TW (1) | TWI244614B (de) |
| WO (1) | WO2003029956A1 (de) |
Families Citing this family (41)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US7266725B2 (en) | 2001-09-03 | 2007-09-04 | Pact Xpp Technologies Ag | Method for debugging reconfigurable architectures |
| DE19654595A1 (de) | 1996-12-20 | 1998-07-02 | Pact Inf Tech Gmbh | I0- und Speicherbussystem für DFPs sowie Bausteinen mit zwei- oder mehrdimensionaler programmierbaren Zellstrukturen |
| US6542998B1 (en) | 1997-02-08 | 2003-04-01 | Pact Gmbh | Method of self-synchronization of configurable elements of a programmable module |
| US8686549B2 (en) * | 2001-09-03 | 2014-04-01 | Martin Vorbach | Reconfigurable elements |
| DE19861088A1 (de) | 1997-12-22 | 2000-02-10 | Pact Inf Tech Gmbh | Verfahren zur Reparatur von integrierten Schaltkreisen |
| JP2003505753A (ja) * | 1999-06-10 | 2003-02-12 | ペーアーツェーテー インフォルマツィオーンステヒノロギー ゲゼルシャフト ミット ベシュレンクテル ハフツング | セル構造におけるシーケンス分割方法 |
| DE50115584D1 (de) | 2000-06-13 | 2010-09-16 | Krass Maren | Pipeline ct-protokolle und -kommunikation |
| US9626325B2 (en) * | 2000-10-06 | 2017-04-18 | Pact Xpp Technologies Ag | Array processor having a segmented bus system |
| US8058899B2 (en) | 2000-10-06 | 2011-11-15 | Martin Vorbach | Logic cell array and bus system |
| US6804696B2 (en) * | 2000-12-19 | 2004-10-12 | International Business Machines Corporation | Pipelining operations in a system for performing modular multiplication |
| US7844796B2 (en) | 2001-03-05 | 2010-11-30 | Martin Vorbach | Data processing device and method |
| US7444531B2 (en) | 2001-03-05 | 2008-10-28 | Pact Xpp Technologies Ag | Methods and devices for treating and processing data |
| JP3950638B2 (ja) * | 2001-03-05 | 2007-08-01 | 株式会社日立製作所 | 耐タンパーモジュラ演算処理方法 |
| US9037807B2 (en) | 2001-03-05 | 2015-05-19 | Pact Xpp Technologies Ag | Processor arrangement on a chip including data processing, memory, and interface elements |
| US7996827B2 (en) | 2001-08-16 | 2011-08-09 | Martin Vorbach | Method for the translation of programs for reconfigurable architectures |
| US7434191B2 (en) | 2001-09-03 | 2008-10-07 | Pact Xpp Technologies Ag | Router |
| US8686475B2 (en) * | 2001-09-19 | 2014-04-01 | Pact Xpp Technologies Ag | Reconfigurable elements |
| US20030065696A1 (en) * | 2001-09-28 | 2003-04-03 | Ruehle Michael D. | Method and apparatus for performing modular exponentiation |
| US6922717B2 (en) * | 2001-09-28 | 2005-07-26 | Intel Corporation | Method and apparatus for performing modular multiplication |
| WO2003060747A2 (de) | 2002-01-19 | 2003-07-24 | Pact Xpp Technologies Ag | Reconfigurierbarer prozessor |
| US8914590B2 (en) | 2002-08-07 | 2014-12-16 | Pact Xpp Technologies Ag | Data processing method and device |
| US20110161977A1 (en) * | 2002-03-21 | 2011-06-30 | Martin Vorbach | Method and device for data processing |
| AU2003286131A1 (en) | 2002-08-07 | 2004-03-19 | Pact Xpp Technologies Ag | Method and device for processing data |
| US7394284B2 (en) | 2002-09-06 | 2008-07-01 | Pact Xpp Technologies Ag | Reconfigurable sequencer structure |
| US7010561B2 (en) * | 2002-10-09 | 2006-03-07 | William L. Freking | Systolic ring-planarized cylindrical array modular multipler |
| JP4700611B2 (ja) * | 2003-08-28 | 2011-06-15 | ペーアーツェーテー イクスペーペー テクノロジーズ アクチエンゲゼルシャフト | データ処理装置およびデータ処理方法 |
| US20060140399A1 (en) * | 2004-12-28 | 2006-06-29 | Young David W | Pre-calculation mechanism for signature decryption |
| US7873830B2 (en) * | 2006-01-13 | 2011-01-18 | International Business Machines Corporation | Methods for coordinating access to memory from at least two cryptography secure processing units |
| JP2009524134A (ja) | 2006-01-18 | 2009-06-25 | ペーアーツェーテー イクスペーペー テクノロジーズ アクチエンゲゼルシャフト | ハードウェア定義方法 |
| EP2220554A1 (de) * | 2007-11-17 | 2010-08-25 | Krass, Maren | Rekonfiguri erbare fliesskomma- und bit- ebenen datenverarbeitungseinheit |
| WO2009068014A2 (de) * | 2007-11-28 | 2009-06-04 | Pact Xpp Technologies Ag | Über datenverarbeitung |
| WO2009071329A1 (en) * | 2007-12-07 | 2009-06-11 | Pact Xpp Technologies Ag | Using function calls as compiler directives |
| US8560814B2 (en) | 2010-05-04 | 2013-10-15 | Oracle International Corporation | Thread fairness on a multi-threaded processor with multi-cycle cryptographic operations |
| US8583902B2 (en) | 2010-05-07 | 2013-11-12 | Oracle International Corporation | Instruction support for performing montgomery multiplication |
| US9430191B2 (en) * | 2013-11-08 | 2016-08-30 | Micron Technology, Inc. | Division operations for memory |
| CN109947393B (zh) * | 2017-12-20 | 2021-11-02 | 航天信息股份有限公司 | 基于求余器的运算方法及装置 |
| CN109284085B (zh) * | 2018-09-25 | 2023-03-31 | 国网湖南省电力有限公司 | 一种基于fpga的高速模乘和模幂运算方法及装置 |
| TWI798640B (zh) * | 2021-02-09 | 2023-04-11 | 新唐科技股份有限公司 | 常數乘法器 |
| CN114510450B (zh) * | 2021-05-25 | 2024-11-26 | 无锡沐创集成电路设计有限公司 | 加密算法的加速计算方法、装置和阵列单元算子系统 |
| US12500736B2 (en) * | 2023-08-14 | 2025-12-16 | Microsoft Technology Licensing, Llc | Montgomery multiplier architecture |
| CN117234458B (zh) * | 2023-11-09 | 2024-02-23 | 深圳大普微电子股份有限公司 | 乘法阵列、数据处理方法、处理终端及存储介质 |
Family Cites Families (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB8815868D0 (en) * | 1988-07-04 | 1988-08-10 | British Aerospace | Digital signal processing |
| US6061706A (en) * | 1997-10-10 | 2000-05-09 | United Microelectronics Corp. | Systolic linear-array modular multiplier with pipeline processing elements |
| US6763365B2 (en) * | 2000-12-19 | 2004-07-13 | International Business Machines Corporation | Hardware implementation for modular multiplication using a plurality of almost entirely identical processor elements |
-
2001
- 2001-09-28 US US09/966,044 patent/US6625631B2/en not_active Expired - Lifetime
-
2002
- 2002-09-13 DE DE60215835T patent/DE60215835T2/de not_active Expired - Lifetime
- 2002-09-13 AT AT02761642T patent/ATE344487T1/de not_active IP Right Cessation
- 2002-09-13 WO PCT/US2002/029112 patent/WO2003029956A1/en not_active Ceased
- 2002-09-13 CN CNB028192451A patent/CN100356317C/zh not_active Expired - Fee Related
- 2002-09-13 EP EP02761642A patent/EP1430392B1/de not_active Expired - Lifetime
- 2002-09-27 TW TW091122355A patent/TWI244614B/zh not_active IP Right Cessation
Also Published As
| Publication number | Publication date |
|---|---|
| HK1063325A1 (en) | 2004-12-24 |
| US20030065695A1 (en) | 2003-04-03 |
| DE60215835T2 (de) | 2007-06-21 |
| WO2003029956A1 (en) | 2003-04-10 |
| TWI244614B (en) | 2005-12-01 |
| EP1430392A1 (de) | 2004-06-23 |
| DE60215835D1 (de) | 2006-12-14 |
| CN1561479A (zh) | 2005-01-05 |
| CN100356317C (zh) | 2007-12-19 |
| EP1430392B1 (de) | 2006-11-02 |
| US6625631B2 (en) | 2003-09-23 |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| RER | Ceased as to paragraph 5 lit. 3 law introducing patent treaties |