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 montgomery

Info

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
Application number
FR9903409A
Other languages
English (en)
Other versions
FR2791156A1 (fr
Inventor
Alain Pomet
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
STMicroelectronics SA
Original Assignee
STMicroelectronics SA
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by STMicroelectronics SA filed Critical STMicroelectronics SA
Priority to FR9903409A priority Critical patent/FR2791156B1/fr
Priority to US09/526,228 priority patent/US6658442B1/en
Publication of FR2791156A1 publication Critical patent/FR2791156A1/fr
Application granted granted Critical
Publication of FR2791156B1 publication Critical patent/FR2791156B1/fr
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60Methods 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
    • G06F7/72Methods 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
    • G06F7/728Methods 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)
FR9903409A 1999-03-17 1999-03-17 Dispositif et procede de mise en oeuvre d'une operation modulaire elementaire selon la methode de montgomery Expired - Fee Related FR2791156B1 (fr)

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)

* Cited by examiner, † Cited by third party
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)

* Cited by examiner, † Cited by third party
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

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