FR2825863B1 - Procede de securisation d'un calcul d'exponentiation dans un dispositif electronique - Google Patents

Procede de securisation d'un calcul d'exponentiation dans un dispositif electronique

Info

Publication number
FR2825863B1
FR2825863B1 FR0107472A FR0107472A FR2825863B1 FR 2825863 B1 FR2825863 B1 FR 2825863B1 FR 0107472 A FR0107472 A FR 0107472A FR 0107472 A FR0107472 A FR 0107472A FR 2825863 B1 FR2825863 B1 FR 2825863B1
Authority
FR
France
Prior art keywords
securing
electronic device
exponentiation calculation
exponentiation
calculation
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
FR0107472A
Other languages
English (en)
Other versions
FR2825863A1 (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 FR0107472A priority Critical patent/FR2825863B1/fr
Priority to PCT/FR2002/001945 priority patent/WO2002099624A1/fr
Publication of FR2825863A1 publication Critical patent/FR2825863A1/fr
Application granted granted Critical
Publication of FR2825863B1 publication Critical patent/FR2825863B1/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
    • 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
    • G06F7/723—Modular exponentiation
    • 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
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F2207/72—Indexing scheme relating to groups G06F7/72 - G06F7/729
    • G06F2207/7219—Countermeasures against side channel or fault attacks
    • G06F2207/7261—Uniform execution, e.g. avoiding jumps, or using formulae with the same power profile

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)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Storage Device Security (AREA)
FR0107472A 2001-06-07 2001-06-07 Procede de securisation d'un calcul d'exponentiation dans un dispositif electronique Expired - Fee Related FR2825863B1 (fr)

Priority Applications (2)

Application Number Priority Date Filing Date Title
FR0107472A FR2825863B1 (fr) 2001-06-07 2001-06-07 Procede de securisation d'un calcul d'exponentiation dans un dispositif electronique
PCT/FR2002/001945 WO2002099624A1 (fr) 2001-06-07 2002-06-06 Procede de securisation d'un calcul d'exponentiation dans un dispositif electronique

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR0107472A FR2825863B1 (fr) 2001-06-07 2001-06-07 Procede de securisation d'un calcul d'exponentiation dans un dispositif electronique

Publications (2)

Publication Number Publication Date
FR2825863A1 FR2825863A1 (fr) 2002-12-13
FR2825863B1 true FR2825863B1 (fr) 2003-09-19

Family

ID=8864068

Family Applications (1)

Application Number Title Priority Date Filing Date
FR0107472A Expired - Fee Related FR2825863B1 (fr) 2001-06-07 2001-06-07 Procede de securisation d'un calcul d'exponentiation dans un dispositif electronique

Country Status (2)

Country Link
FR (1) FR2825863B1 (fr)
WO (1) WO2002099624A1 (fr)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2838210B1 (fr) * 2002-04-03 2005-11-04 Gemplus Card Int Procede cryptographique protege contre les attaques de type a canal cache
US9313027B2 (en) 2005-12-29 2016-04-12 Proton World International N.V. Protection of a calculation performed by an integrated circuit
US8150029B2 (en) 2005-12-29 2012-04-03 Proton World International N.V. Detection of a disturbance in a calculation performed by an integrated circuit

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CA2252078C (fr) * 1998-10-28 2009-02-17 Certicom Corp. Systeme cryptographique resistant aux attaques contre la signature de puissance

Also Published As

Publication number Publication date
WO2002099624A1 (fr) 2002-12-12
FR2825863A1 (fr) 2002-12-13

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Legal Events

Date Code Title Description
ST Notification of lapse

Effective date: 20100226