FR2824653B1 - Dispositif destine a realiser des calculs d'exponentiation appliques a des points d'une courbe elliptique - Google Patents

Dispositif destine a realiser des calculs d'exponentiation appliques a des points d'une courbe elliptique

Info

Publication number
FR2824653B1
FR2824653B1 FR0106275A FR0106275A FR2824653B1 FR 2824653 B1 FR2824653 B1 FR 2824653B1 FR 0106275 A FR0106275 A FR 0106275A FR 0106275 A FR0106275 A FR 0106275A FR 2824653 B1 FR2824653 B1 FR 2824653B1
Authority
FR
France
Prior art keywords
points
elliptical curve
calculations applied
performing exponentiation
exponentiation calculations
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
FR0106275A
Other languages
English (en)
Other versions
FR2824653A1 (fr
Inventor
Marc Joye
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.)
Gemplus SA
Original Assignee
Gemplus Card International SA
Gemplus 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 Gemplus Card International SA, Gemplus SA filed Critical Gemplus Card International SA
Priority to FR0106275A priority Critical patent/FR2824653B1/fr
Priority to PCT/FR2002/001582 priority patent/WO2002093411A1/fr
Publication of FR2824653A1 publication Critical patent/FR2824653A1/fr
Application granted granted Critical
Publication of FR2824653B1 publication Critical patent/FR2824653B1/fr
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • 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
    • G06F7/724—Finite field arithmetic
    • G06F7/725—Finite field arithmetic over elliptic curves

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • General Engineering & Computer Science (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • Algebra (AREA)
  • Computing Systems (AREA)
  • Complex Calculations (AREA)
FR0106275A 2001-05-11 2001-05-11 Dispositif destine a realiser des calculs d'exponentiation appliques a des points d'une courbe elliptique Expired - Fee Related FR2824653B1 (fr)

Priority Applications (2)

Application Number Priority Date Filing Date Title
FR0106275A FR2824653B1 (fr) 2001-05-11 2001-05-11 Dispositif destine a realiser des calculs d'exponentiation appliques a des points d'une courbe elliptique
PCT/FR2002/001582 WO2002093411A1 (fr) 2001-05-11 2002-05-10 Dispositif destine a realiser des calculs d"exponentiation appliques a des points d"une courbe elliptique

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR0106275A FR2824653B1 (fr) 2001-05-11 2001-05-11 Dispositif destine a realiser des calculs d'exponentiation appliques a des points d'une courbe elliptique

Publications (2)

Publication Number Publication Date
FR2824653A1 FR2824653A1 (fr) 2002-11-15
FR2824653B1 true FR2824653B1 (fr) 2003-08-08

Family

ID=8863193

Family Applications (1)

Application Number Title Priority Date Filing Date
FR0106275A Expired - Fee Related FR2824653B1 (fr) 2001-05-11 2001-05-11 Dispositif destine a realiser des calculs d'exponentiation appliques a des points d'une courbe elliptique

Country Status (2)

Country Link
FR (1) FR2824653B1 (fr)
WO (1) WO2002093411A1 (fr)

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0804758B1 (fr) * 1994-07-29 2005-11-09 Certicom Corp. Systemes de chiffrement a courbe elliptique
AU758621B2 (en) * 1997-12-05 2003-03-27 Icesoft Technologies, Inc. Transformation methods for optimizing elliptic curve cryptographic computations

Also Published As

Publication number Publication date
FR2824653A1 (fr) 2002-11-15
WO2002093411A1 (fr) 2002-11-21

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Legal Events

Date Code Title Description
ST Notification of lapse

Effective date: 20100129