FR2819320B1 - Dispositif destine a realiser des calculs d'exponentiation, et procede de programmation et d'utilisation du dispositif - Google Patents

Dispositif destine a realiser des calculs d'exponentiation, et procede de programmation et d'utilisation du dispositif

Info

Publication number
FR2819320B1
FR2819320B1 FR0100296A FR0100296A FR2819320B1 FR 2819320 B1 FR2819320 B1 FR 2819320B1 FR 0100296 A FR0100296 A FR 0100296A FR 0100296 A FR0100296 A FR 0100296A FR 2819320 B1 FR2819320 B1 FR 2819320B1
Authority
FR
France
Prior art keywords
programming
performing exponentiation
exponentiation calculations
calculations
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
FR0100296A
Other languages
English (en)
Other versions
FR2819320A1 (fr
Inventor
Christophe Clavier
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 FR0100296A priority Critical patent/FR2819320B1/fr
Priority to PCT/FR2001/004182 priority patent/WO2002056171A1/fr
Priority to EP01995782A priority patent/EP1350161A1/fr
Publication of FR2819320A1 publication Critical patent/FR2819320A1/fr
Application granted granted Critical
Publication of FR2819320B1 publication Critical patent/FR2819320B1/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
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
    • G06F7/556—Logarithmic or exponential functions
    • 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
    • G06F2207/556—Indexing scheme relating to group G06F7/556
    • G06F2207/5561—Exponentiation by multiplication, i.e. calculating Y**INT(X) by multiplying Y with itself or a power of itself, INT(X) being the integer part of X

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Storage Device Security (AREA)
  • Complex Calculations (AREA)
FR0100296A 2001-01-11 2001-01-11 Dispositif destine a realiser des calculs d'exponentiation, et procede de programmation et d'utilisation du dispositif Expired - Fee Related FR2819320B1 (fr)

Priority Applications (3)

Application Number Priority Date Filing Date Title
FR0100296A FR2819320B1 (fr) 2001-01-11 2001-01-11 Dispositif destine a realiser des calculs d'exponentiation, et procede de programmation et d'utilisation du dispositif
PCT/FR2001/004182 WO2002056171A1 (fr) 2001-01-11 2001-12-21 Dispositif destine a realiser des calculs d'exponentiation, et procede de programmation et d'utilisation du dispositif
EP01995782A EP1350161A1 (fr) 2001-01-11 2001-12-21 Dispositif destine a realiser des calculs d'exponentiation, et procede de programmation et d'utilisation du dispositif

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR0100296A FR2819320B1 (fr) 2001-01-11 2001-01-11 Dispositif destine a realiser des calculs d'exponentiation, et procede de programmation et d'utilisation du dispositif

Publications (2)

Publication Number Publication Date
FR2819320A1 FR2819320A1 (fr) 2002-07-12
FR2819320B1 true FR2819320B1 (fr) 2003-08-08

Family

ID=8858678

Family Applications (1)

Application Number Title Priority Date Filing Date
FR0100296A Expired - Fee Related FR2819320B1 (fr) 2001-01-11 2001-01-11 Dispositif destine a realiser des calculs d'exponentiation, et procede de programmation et d'utilisation du dispositif

Country Status (3)

Country Link
EP (1) EP1350161A1 (fr)
FR (1) FR2819320B1 (fr)
WO (1) WO2002056171A1 (fr)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101764735B (zh) * 2008-12-25 2011-12-07 凌阳电通科技股份有限公司 通信系统的传输区块长度计算方法

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH04116720A (ja) * 1990-09-07 1992-04-17 Hitachi Ltd 半導体装置
US5987131A (en) * 1997-08-18 1999-11-16 Picturetel Corporation Cryptographic key exchange using pre-computation

Also Published As

Publication number Publication date
WO2002056171A1 (fr) 2002-07-18
EP1350161A1 (fr) 2003-10-08
FR2819320A1 (fr) 2002-07-12

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Legal Events

Date Code Title Description
ST Notification of lapse

Effective date: 20091030