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FR2979725B1 - Procede de calculs cryptographique resistant aux defaillances materielles - Google Patents

Procede de calculs cryptographique resistant aux defaillances materielles

Info

Publication number
FR2979725B1
FR2979725B1 FR1157891A FR1157891A FR2979725B1 FR 2979725 B1 FR2979725 B1 FR 2979725B1 FR 1157891 A FR1157891 A FR 1157891A FR 1157891 A FR1157891 A FR 1157891A FR 2979725 B1 FR2979725 B1 FR 2979725B1
Authority
FR
France
Prior art keywords
calculation method
cryptographic calculation
method resistant
material failures
failures
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
FR1157891A
Other languages
English (en)
Other versions
FR2979725A1 (fr
Inventor
Naciri Robert
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.)
Idemia France SAS
Original Assignee
Oberthur Technologies 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 Oberthur Technologies SA filed Critical Oberthur Technologies SA
Priority to FR1157891A priority Critical patent/FR2979725B1/fr
Publication of FR2979725A1 publication Critical patent/FR2979725A1/fr
Application granted granted Critical
Publication of FR2979725B1 publication Critical patent/FR2979725B1/fr
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

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
    • G06F2207/7271—Fault verification, e.g. comparing two values which should be the same, unless a computational fault occurred

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)
FR1157891A 2011-09-06 2011-09-06 Procede de calculs cryptographique resistant aux defaillances materielles Expired - Fee Related FR2979725B1 (fr)

Priority Applications (1)

Application Number Priority Date Filing Date Title
FR1157891A FR2979725B1 (fr) 2011-09-06 2011-09-06 Procede de calculs cryptographique resistant aux defaillances materielles

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR1157891A FR2979725B1 (fr) 2011-09-06 2011-09-06 Procede de calculs cryptographique resistant aux defaillances materielles

Publications (2)

Publication Number Publication Date
FR2979725A1 FR2979725A1 (fr) 2013-03-08
FR2979725B1 true FR2979725B1 (fr) 2016-05-27

Family

ID=45350912

Family Applications (1)

Application Number Title Priority Date Filing Date
FR1157891A Expired - Fee Related FR2979725B1 (fr) 2011-09-06 2011-09-06 Procede de calculs cryptographique resistant aux defaillances materielles

Country Status (1)

Country Link
FR (1) FR2979725B1 (fr)

Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR3069671A1 (fr) 2017-07-25 2019-02-01 Stmicroelectronics (Rousset) Sas Protection d'un calcul iteratif contre des attaques horizontales
EP3579493A1 (fr) 2018-06-08 2019-12-11 STMicroelectronics (Rousset) SAS Protection d'un calcul itératif
EP3579492A1 (fr) 2018-06-08 2019-12-11 STMicroelectronics (Rousset) SAS Protection d'un calcul itératif
FR3094522B1 (fr) 2019-03-29 2021-11-19 St Microelectronics Rousset Protection d’un calcul itératif

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2884004B1 (fr) * 2005-03-30 2007-06-29 Oberthur Card Syst Sa Procede de traitement de donnees impliquant une exponentiation modulaire et un dispositif associe
EP2005291B1 (fr) * 2006-04-06 2010-06-23 Nxp B.V. Procede de dechiffrement

Also Published As

Publication number Publication date
FR2979725A1 (fr) 2013-03-08

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