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FR2942560B1 - METHOD FOR PROCESSING DATA INVOLVING EXPONENTIATION AND ASSOCIATED DEVICE - Google Patents

METHOD FOR PROCESSING DATA INVOLVING EXPONENTIATION AND ASSOCIATED DEVICE

Info

Publication number
FR2942560B1
FR2942560B1 FR0951166A FR0951166A FR2942560B1 FR 2942560 B1 FR2942560 B1 FR 2942560B1 FR 0951166 A FR0951166 A FR 0951166A FR 0951166 A FR0951166 A FR 0951166A FR 2942560 B1 FR2942560 B1 FR 2942560B1
Authority
FR
France
Prior art keywords
processing data
associated device
data involving
exponentiation
involving exponentiation
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
FR0951166A
Other languages
French (fr)
Other versions
FR2942560A1 (en
Inventor
Matthieu Rivain
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 FR0951166A priority Critical patent/FR2942560B1/en
Publication of FR2942560A1 publication Critical patent/FR2942560A1/en
Application granted granted Critical
Publication of FR2942560B1 publication Critical patent/FR2942560B1/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3006—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy underlying computational problems or public-key parameters
    • H04L9/302—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy underlying computational problems or public-key parameters involving the integer factorization problem, e.g. RSA or quadratic sieve [QS] schemes
    • 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
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/002—Countermeasures against attacks on cryptographic mechanisms
    • H04L9/004—Countermeasures against attacks on cryptographic mechanisms for fault attacks
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3066—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-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
    • G06F2207/7223—Randomisation as countermeasure against side channel attacks
    • 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

  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Computing Systems (AREA)
  • Computer Security & Cryptography (AREA)
  • General Physics & Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Error Detection And Correction (AREA)
FR0951166A 2009-02-24 2009-02-24 METHOD FOR PROCESSING DATA INVOLVING EXPONENTIATION AND ASSOCIATED DEVICE Expired - Fee Related FR2942560B1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
FR0951166A FR2942560B1 (en) 2009-02-24 2009-02-24 METHOD FOR PROCESSING DATA INVOLVING EXPONENTIATION AND ASSOCIATED DEVICE

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR0951166A FR2942560B1 (en) 2009-02-24 2009-02-24 METHOD FOR PROCESSING DATA INVOLVING EXPONENTIATION AND ASSOCIATED DEVICE

Publications (2)

Publication Number Publication Date
FR2942560A1 FR2942560A1 (en) 2010-08-27
FR2942560B1 true FR2942560B1 (en) 2015-06-26

Family

ID=41261672

Family Applications (1)

Application Number Title Priority Date Filing Date
FR0951166A Expired - Fee Related FR2942560B1 (en) 2009-02-24 2009-02-24 METHOD FOR PROCESSING DATA INVOLVING EXPONENTIATION AND ASSOCIATED DEVICE

Country Status (1)

Country Link
FR (1) FR2942560B1 (en)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US9400636B2 (en) 2011-02-11 2016-07-26 Infineon Technologies Ag Apparatus and method for calculating a result in a scalar multiplication
DE102011006000B4 (en) 2011-03-23 2015-01-15 Infineon Technologies Ag Signature update by code transformation
EP2779519A1 (en) * 2013-03-11 2014-09-17 Thomson Licensing A method and a device for fault-resistant exponentiation in cryptographic systems

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2884004B1 (en) * 2005-03-30 2007-06-29 Oberthur Card Syst Sa DATA PROCESSING METHOD INVOLVING MODULAR EXPONENTIATION AND ASSOCIATED DEVICE

Also Published As

Publication number Publication date
FR2942560A1 (en) 2010-08-27

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