FR2791156B1 - Dispositif et procede de mise en oeuvre d'une operation modulaire elementaire selon la methode de montgomery - Google Patents
Dispositif et procede de mise en oeuvre d'une operation modulaire elementaire selon la methode de montgomeryInfo
- Publication number
- FR2791156B1 FR2791156B1 FR9903409A FR9903409A FR2791156B1 FR 2791156 B1 FR2791156 B1 FR 2791156B1 FR 9903409 A FR9903409 A FR 9903409A FR 9903409 A FR9903409 A FR 9903409A FR 2791156 B1 FR2791156 B1 FR 2791156B1
- Authority
- FR
- France
- Prior art keywords
- implementing
- operation according
- modular operation
- montgomery
- elementary
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR 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)
- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Computational Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computing Systems (AREA)
- Mathematical Physics (AREA)
- General Engineering & Computer Science (AREA)
- Complex Calculations (AREA)
- Logic Circuits (AREA)
Priority Applications (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR9903409A FR2791156B1 (fr) | 1999-03-17 | 1999-03-17 | Dispositif et procede de mise en oeuvre d'une operation modulaire elementaire selon la methode de montgomery |
US09/526,228 US6658442B1 (en) | 1999-03-17 | 2000-03-15 | Device and method for the implementation of an elementary modular operation according to the Montgomery method |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR9903409A FR2791156B1 (fr) | 1999-03-17 | 1999-03-17 | Dispositif et procede de mise en oeuvre d'une operation modulaire elementaire selon la methode de montgomery |
Publications (2)
Publication Number | Publication Date |
---|---|
FR2791156A1 FR2791156A1 (fr) | 2000-09-22 |
FR2791156B1 true FR2791156B1 (fr) | 2001-05-11 |
Family
ID=9543376
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
FR9903409A Expired - Fee Related FR2791156B1 (fr) | 1999-03-17 | 1999-03-17 | Dispositif et procede de mise en oeuvre d'une operation modulaire elementaire selon la methode de montgomery |
Country Status (2)
Country | Link |
---|---|
US (1) | US6658442B1 (fr) |
FR (1) | FR2791156B1 (fr) |
Families Citing this family (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
KR100458031B1 (ko) * | 2003-03-14 | 2004-11-26 | 삼성전자주식회사 | 몽고메리 유형의 모듈라 곱셈 장치 및 방법 |
SG115534A1 (en) * | 2003-04-04 | 2005-10-28 | St Microelectronics Asia | Method and apparatus for performing modular arithmetic |
Family Cites Families (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5124572A (en) * | 1990-11-27 | 1992-06-23 | Hewlett-Packard Co. | VLSI clocking system using both overlapping and non-overlapping clocks |
IL101623A (en) * | 1992-04-16 | 1997-06-10 | Fortress U & T 2000 Ltd | Digital signature device |
US5572714A (en) * | 1992-10-23 | 1996-11-05 | Matsushita Electric Industrial Co., Ltd. | Integrated circuit for pipeline data processing |
US5513133A (en) * | 1992-11-30 | 1996-04-30 | Fortress U&T Ltd. | Compact microelectronic device for performing modular multiplication and exponentiation over large numbers |
US5787488A (en) * | 1993-04-22 | 1998-07-28 | Analog Devices, Inc. | Multi-phase multi-access pipeline memory system |
FR2726667B1 (fr) * | 1994-11-08 | 1997-01-17 | Sgs Thomson Microelectronics | Procede de mise en oeuvre de multiplication modulaire selon la methode montgomery |
FR2726668B1 (fr) * | 1994-11-08 | 1997-01-10 | Sgs Thomson Microelectronics | Procede de mise en oeuvre de reduction modulaire selon la methode de montgomery |
FR2758195B1 (fr) * | 1997-01-09 | 1999-02-26 | Sgs Thomson Microelectronics | Coprocesseur d'arithmetique modulaire comprenant deux circuits de multiplication operant en parallele |
WO1998050851A1 (fr) * | 1997-05-04 | 1998-11-12 | Fortress U & T Ltd. | Dispositif et procede ameliores de multiplication modulaire et d'exponentiation bases sur une multiplication de montgomery |
FR2773231B1 (fr) * | 1997-12-31 | 2000-02-25 | Sgs Thomson Microelectronics | Procede de production ameliore d'un parametre jo associe a la mise en oeuvre d'operations modulaires selon la methode de montgomery |
FR2775369B1 (fr) * | 1998-02-26 | 2001-08-03 | Sgs Thomson Microelectronics | Procede de mise en oeuvre d'une multiplication modulaire specifique relative a la methode de montgomery |
FR2775368B1 (fr) * | 1998-02-26 | 2000-04-14 | Sgs Thomson Microelectronics | Coprocesseur d'arithmetique modulaire permettant de realiser des operations non modulaires rapidement |
-
1999
- 1999-03-17 FR FR9903409A patent/FR2791156B1/fr not_active Expired - Fee Related
-
2000
- 2000-03-15 US US09/526,228 patent/US6658442B1/en not_active Expired - Lifetime
Also Published As
Publication number | Publication date |
---|---|
US6658442B1 (en) | 2003-12-02 |
FR2791156A1 (fr) | 2000-09-22 |
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Legal Events
Date | Code | Title | Description |
---|---|---|---|
ST | Notification of lapse |
Effective date: 20091130 |