FR2856537B1 - Procede de contre-mesure par masquage de l'accumulateur dans un composant electronique mettant en oeuvre un algorithme de cryptographie a cle publique - Google Patents

Procede de contre-mesure par masquage de l'accumulateur dans un composant electronique mettant en oeuvre un algorithme de cryptographie a cle publique

Info

Publication number
FR2856537B1
FR2856537B1 FR0307379A FR0307379A FR2856537B1 FR 2856537 B1 FR2856537 B1 FR 2856537B1 FR 0307379 A FR0307379 A FR 0307379A FR 0307379 A FR0307379 A FR 0307379A FR 2856537 B1 FR2856537 B1 FR 2856537B1
Authority
FR
France
Prior art keywords
masking
accumulator
counter
measurement
electronic component
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
FR0307379A
Other languages
English (en)
Other versions
FR2856537A1 (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 FR0307379A priority Critical patent/FR2856537B1/fr
Priority to US10/561,234 priority patent/US20060282491A1/en
Priority to EP04766054A priority patent/EP1639451A2/fr
Priority to PCT/EP2004/051144 priority patent/WO2004111831A2/fr
Publication of FR2856537A1 publication Critical patent/FR2856537A1/fr
Application granted granted Critical
Publication of FR2856537B1 publication Critical patent/FR2856537B1/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
    • G06F7/724—Finite field arithmetic
    • G06F7/725—Finite field arithmetic over elliptic curves
    • 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
    • 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
    • G06F2207/7247—Modulo masking, e.g. A**e mod (n*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
    • G06F2207/7276—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

Landscapes

  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Complex Calculations (AREA)
  • Storage Device Security (AREA)
FR0307379A 2003-06-18 2003-06-18 Procede de contre-mesure par masquage de l'accumulateur dans un composant electronique mettant en oeuvre un algorithme de cryptographie a cle publique Expired - Fee Related FR2856537B1 (fr)

Priority Applications (4)

Application Number Priority Date Filing Date Title
FR0307379A FR2856537B1 (fr) 2003-06-18 2003-06-18 Procede de contre-mesure par masquage de l'accumulateur dans un composant electronique mettant en oeuvre un algorithme de cryptographie a cle publique
US10/561,234 US20060282491A1 (en) 2003-06-18 2004-06-17 Method for countermeasuring by masking the accumulators in an electronic component while using a public key cryptographic algorithm
EP04766054A EP1639451A2 (fr) 2003-06-18 2004-06-17 Procédé de contre-mesure par masquage de l'accumulateur
PCT/EP2004/051144 WO2004111831A2 (fr) 2003-06-18 2004-06-17 Procede de contre-mesure par masquage de l'accumulateur

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR0307379A FR2856537B1 (fr) 2003-06-18 2003-06-18 Procede de contre-mesure par masquage de l'accumulateur dans un composant electronique mettant en oeuvre un algorithme de cryptographie a cle publique

Publications (2)

Publication Number Publication Date
FR2856537A1 FR2856537A1 (fr) 2004-12-24
FR2856537B1 true FR2856537B1 (fr) 2005-11-04

Family

ID=33484551

Family Applications (1)

Application Number Title Priority Date Filing Date
FR0307379A Expired - Fee Related FR2856537B1 (fr) 2003-06-18 2003-06-18 Procede de contre-mesure par masquage de l'accumulateur dans un composant electronique mettant en oeuvre un algorithme de cryptographie a cle publique

Country Status (4)

Country Link
US (1) US20060282491A1 (fr)
EP (1) EP1639451A2 (fr)
FR (1) FR2856537B1 (fr)
WO (1) WO2004111831A2 (fr)

Families Citing this family (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2862454A1 (fr) * 2003-11-18 2005-05-20 Atmel Corp Methode de reduction modulaire aleatoire et equipement associe
FR2885711B1 (fr) * 2005-05-12 2007-07-06 Atmel Corp Procede et materiel modulaire et aleatoire pour la reduction polynomiale
KR101252318B1 (ko) * 2005-05-12 2013-04-08 인사이드 씨큐어 랜덤화된 모듈러 다항식 약분 방법 및 그 방법을 위한하드웨어
FR2897963A1 (fr) 2006-02-28 2007-08-31 Atmel Corp Procede pour les conjectures de quotient rapide et une manip ulation de congruences
KR101527867B1 (ko) * 2007-07-11 2015-06-10 삼성전자주식회사 타원 곡선 암호 시스템에 대한 부채널 공격에 대응하는방법
EP2169535A1 (fr) * 2008-09-22 2010-03-31 Thomson Licensing Procédé, appareil et support de programme informatique pour le recodage régulier d'un entier positif
EP2535804A1 (fr) * 2011-06-17 2012-12-19 Thomson Licensing Algorithme de mise à la puissance résistant contre des fautes
DE102017002153A1 (de) * 2017-03-06 2018-09-06 Giesecke+Devrient Mobile Security Gmbh Übergang von einer booleschen Maskierung zu einer arithmetischen Maskierung

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2784831B1 (fr) * 1998-10-16 2000-12-15 Gemplus Card Int Procede de contre-mesure dans un composant electronique mettant en oeuvre un algorithme de cryptographie a cle secrete
DE19963407A1 (de) * 1999-12-28 2001-07-12 Giesecke & Devrient Gmbh Tragbarer Datenträger mit Zugriffsschutz durch Nachrichtenverfremdung
JP2003098962A (ja) * 2001-09-20 2003-04-04 Hitachi Ltd 楕円曲線スカラー倍計算方法及び装置並びに記録媒体
FR2824209B1 (fr) * 2001-04-30 2003-08-29 St Microelectronics Sa Brouillage d'un calcul mettant en oeuvre une fonction modulaire
US7127063B2 (en) * 2001-12-31 2006-10-24 Certicom Corp. Method and apparatus for computing a shared secret key

Also Published As

Publication number Publication date
WO2004111831A3 (fr) 2005-12-22
FR2856537A1 (fr) 2004-12-24
US20060282491A1 (en) 2006-12-14
WO2004111831A2 (fr) 2004-12-23
EP1639451A2 (fr) 2006-03-29

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Effective date: 20090228