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FR2864390B1 - Procede cryptographique d'exponentiation modulaire protege contre les attaques de type dpa. - Google Patents

Procede cryptographique d'exponentiation modulaire protege contre les attaques de type dpa.

Info

Publication number
FR2864390B1
FR2864390B1 FR0314959A FR0314959A FR2864390B1 FR 2864390 B1 FR2864390 B1 FR 2864390B1 FR 0314959 A FR0314959 A FR 0314959A FR 0314959 A FR0314959 A FR 0314959A FR 2864390 B1 FR2864390 B1 FR 2864390B1
Authority
FR
France
Prior art keywords
protected against
modular exponentiation
cryptographic method
dpa attacks
against dpa
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
FR0314959A
Other languages
English (en)
Other versions
FR2864390A1 (fr
Inventor
Mames Benoit Chevallier
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 FR0314959A priority Critical patent/FR2864390B1/fr
Priority to PCT/EP2004/053472 priority patent/WO2005069122A2/fr
Priority to EP04804829A priority patent/EP1695204A2/fr
Priority to CN 200480041877 priority patent/CN1918543A/zh
Publication of FR2864390A1 publication Critical patent/FR2864390A1/fr
Application granted granted Critical
Publication of FR2864390B1 publication Critical patent/FR2864390B1/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
    • G06F21/00—Security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
    • G06F21/70—Protecting specific internal or peripheral components, in which the protection of a component leads to protection of the entire computer
    • G06F21/71—Protecting specific internal or peripheral components, in which the protection of a component leads to protection of the entire computer to assure secure computing or processing of information
    • G06F21/72—Protecting specific internal or peripheral components, in which the protection of a component leads to protection of the entire computer to assure secure computing or processing of information in cryptographic circuits
    • 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
    • G06F2207/7276—Additional details of aspects covered by group G06F7/723
    • G06F2207/7285—Additional details of aspects covered by group G06F7/723 using the window method, i.e. left-to-right k-ary 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

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • General Engineering & Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Computer Hardware Design (AREA)
  • Computing Systems (AREA)
  • Computer Security & Cryptography (AREA)
  • Software Systems (AREA)
  • Storage Device Security (AREA)
  • Complex Calculations (AREA)
FR0314959A 2003-12-19 2003-12-19 Procede cryptographique d'exponentiation modulaire protege contre les attaques de type dpa. Expired - Fee Related FR2864390B1 (fr)

Priority Applications (4)

Application Number Priority Date Filing Date Title
FR0314959A FR2864390B1 (fr) 2003-12-19 2003-12-19 Procede cryptographique d'exponentiation modulaire protege contre les attaques de type dpa.
PCT/EP2004/053472 WO2005069122A2 (fr) 2003-12-19 2004-12-14 Procede cryptographique d'exponentiation modulaire protege contre les attaques de type dpa
EP04804829A EP1695204A2 (fr) 2003-12-19 2004-12-14 Procede d'exponentiation modulaire protege contre les attaques du type dpa
CN 200480041877 CN1918543A (zh) 2003-12-19 2004-12-14 防dpa类型的攻击的模取幂方法

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR0314959A FR2864390B1 (fr) 2003-12-19 2003-12-19 Procede cryptographique d'exponentiation modulaire protege contre les attaques de type dpa.

Publications (2)

Publication Number Publication Date
FR2864390A1 FR2864390A1 (fr) 2005-06-24
FR2864390B1 true FR2864390B1 (fr) 2006-03-31

Family

ID=34630319

Family Applications (1)

Application Number Title Priority Date Filing Date
FR0314959A Expired - Fee Related FR2864390B1 (fr) 2003-12-19 2003-12-19 Procede cryptographique d'exponentiation modulaire protege contre les attaques de type dpa.

Country Status (4)

Country Link
EP (1) EP1695204A2 (fr)
CN (1) CN1918543A (fr)
FR (1) FR2864390B1 (fr)
WO (1) WO2005069122A2 (fr)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2888690A1 (fr) * 2005-07-13 2007-01-19 Gemplus Sa Procede cryptographique pour la mise en oeuvre securisee d'une exponentiation et composant associe
JP5482048B2 (ja) * 2009-09-18 2014-04-23 ソニー株式会社 集積回路および電子機器
FR2972064B1 (fr) * 2011-02-25 2013-03-15 Inside Secure Procede de cryptographie comprenant une operation d'exponentiation

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2800478B1 (fr) * 1999-10-28 2001-11-30 Bull Cp8 Procede de securisation d'un ensemble electronique de cryptographie a base d'exponentiation modulaire contre les attaques par analyse physique
FR2829646B1 (fr) * 2001-09-07 2004-01-16 Gemplus Card Int Procede securise de mise en oeuvre d'un algorithme de cryptographie et composant correspondant

Also Published As

Publication number Publication date
EP1695204A2 (fr) 2006-08-30
FR2864390A1 (fr) 2005-06-24
CN1918543A (zh) 2007-02-21
WO2005069122A2 (fr) 2005-07-28
WO2005069122A3 (fr) 2006-06-01

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Legal Events

Date Code Title Description
ST Notification of lapse

Effective date: 20081020