FR2821944B1 - METHOD OF PROTECTION AGAINST ATTACKS BY MEASURING CURRENT OR ELECTROMAGNETIC RADIATION - Google Patents

METHOD OF PROTECTION AGAINST ATTACKS BY MEASURING CURRENT OR ELECTROMAGNETIC RADIATION

Info

Publication number
FR2821944B1
FR2821944B1 FR0103325A FR0103325A FR2821944B1 FR 2821944 B1 FR2821944 B1 FR 2821944B1 FR 0103325 A FR0103325 A FR 0103325A FR 0103325 A FR0103325 A FR 0103325A FR 2821944 B1 FR2821944 B1 FR 2821944B1
Authority
FR
France
Prior art keywords
electromagnetic radiation
protection against
measuring current
against attacks
attacks
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
FR0103325A
Other languages
French (fr)
Other versions
FR2821944A1 (en
Inventor
Christophe Tymen
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 FR0103325A priority Critical patent/FR2821944B1/en
Publication of FR2821944A1 publication Critical patent/FR2821944A1/en
Application granted granted Critical
Publication of FR2821944B1 publication Critical patent/FR2821944B1/en
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
    • G06F7/724—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
    • G06F2207/7223—Randomisation as countermeasure against side channel attacks
    • G06F2207/7228—Random curve mapping, e.g. mapping to an isomorphous or projective curve
    • 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
    • G06F2207/7233—Masking, e.g. (A**e)+r mod n
    • G06F2207/7238—Operand masking, i.e. message blinding, e.g. (A+r)**e mod n; k.(P+R)
    • 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
    • G06F2207/7257—Random modification not requiring correction

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)
  • Complex Calculations (AREA)
FR0103325A 2001-03-12 2001-03-12 METHOD OF PROTECTION AGAINST ATTACKS BY MEASURING CURRENT OR ELECTROMAGNETIC RADIATION Expired - Fee Related FR2821944B1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
FR0103325A FR2821944B1 (en) 2001-03-12 2001-03-12 METHOD OF PROTECTION AGAINST ATTACKS BY MEASURING CURRENT OR ELECTROMAGNETIC RADIATION

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR0103325A FR2821944B1 (en) 2001-03-12 2001-03-12 METHOD OF PROTECTION AGAINST ATTACKS BY MEASURING CURRENT OR ELECTROMAGNETIC RADIATION

Publications (2)

Publication Number Publication Date
FR2821944A1 FR2821944A1 (en) 2002-09-13
FR2821944B1 true FR2821944B1 (en) 2003-05-30

Family

ID=8860999

Family Applications (1)

Application Number Title Priority Date Filing Date
FR0103325A Expired - Fee Related FR2821944B1 (en) 2001-03-12 2001-03-12 METHOD OF PROTECTION AGAINST ATTACKS BY MEASURING CURRENT OR ELECTROMAGNETIC RADIATION

Country Status (1)

Country Link
FR (1) FR2821944B1 (en)

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
AU758621B2 (en) * 1997-12-05 2003-03-27 Icesoft Technologies, Inc. Transformation methods for optimizing elliptic curve cryptographic computations
FR2791496B1 (en) * 1999-03-26 2001-10-19 Gemplus Card Int COUNTERMEASUREMENT METHODS IN AN ELECTRONIC COMPONENT USING AN ELLIPTICAL CURVE TYPE PUBLIC KEY CRYTOGRAPHY ALGORITHM

Also Published As

Publication number Publication date
FR2821944A1 (en) 2002-09-13

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Legal Events

Date Code Title Description
ST Notification of lapse

Effective date: 20091130