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AU2002342820A1 - Method and device for multiplication and method and device for addition to an elliptical curve - Google Patents

Method and device for multiplication and method and device for addition to an elliptical curve

Info

Publication number
AU2002342820A1
AU2002342820A1 AU2002342820A AU2002342820A AU2002342820A1 AU 2002342820 A1 AU2002342820 A1 AU 2002342820A1 AU 2002342820 A AU2002342820 A AU 2002342820A AU 2002342820 A AU2002342820 A AU 2002342820A AU 2002342820 A1 AU2002342820 A1 AU 2002342820A1
Authority
AU
Australia
Prior art keywords
multiplication
addition
elliptical curve
elliptical
curve
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.)
Abandoned
Application number
AU2002342820A
Inventor
Wieland Fischer
Jean-Pierre Seifert
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.)
Infineon Technologies AG
Original Assignee
Infineon Technologies AG
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 Infineon Technologies AG filed Critical Infineon Technologies AG
Publication of AU2002342820A1 publication Critical patent/AU2002342820A1/en
Abandoned legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; 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 OR CALCULATING; 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

  • 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)
  • Image Processing (AREA)
  • Image Generation (AREA)
  • Complex Calculations (AREA)
AU2002342820A 2001-11-19 2002-10-11 Method and device for multiplication and method and device for addition to an elliptical curve Abandoned AU2002342820A1 (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
DE10156708.1 2001-11-19
DE2001156708 DE10156708B4 (en) 2001-11-19 2001-11-19 Method and apparatus for multiplying and method and apparatus for adding on an elliptic curve
PCT/EP2002/011426 WO2003044653A2 (en) 2001-11-19 2002-10-11 Method and device for multiplication and method and device for addition to an elliptical curve

Publications (1)

Publication Number Publication Date
AU2002342820A1 true AU2002342820A1 (en) 2003-06-10

Family

ID=7706220

Family Applications (1)

Application Number Title Priority Date Filing Date
AU2002342820A Abandoned AU2002342820A1 (en) 2001-11-19 2002-10-11 Method and device for multiplication and method and device for addition to an elliptical curve

Country Status (4)

Country Link
AU (1) AU2002342820A1 (en)
DE (1) DE10156708B4 (en)
TW (1) TW580654B (en)
WO (1) WO2003044653A2 (en)

Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE102006002891B4 (en) 2006-01-20 2009-06-04 Siemens Ag Method, apparatus and system for verifying points determined on an elliptic curve
DE102006014353B4 (en) 2006-03-28 2007-11-22 Siemens Ag Method for the reliable determination of data
TWI406548B (en) * 2010-10-27 2013-08-21 Univ Southern Taiwan An elliptic curve cryptography operation circuit
CN113037479B (en) * 2021-03-25 2022-04-12 支付宝(杭州)信息技术有限公司 Data verification method and device

Family Cites Families (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0892520A3 (en) * 1997-07-17 2001-10-17 Matsushita Electric Industrial Co., Ltd. Elliptic curve calculation apparatus capable of calculating multiples at high speed
DE69905145T2 (en) * 1998-03-25 2003-06-05 Certicom Corp., Mississauga ACCELERATED LIMITED FIELD OPERATIONS ON AN ELLIPTIC CURVE
CA2252078C (en) * 1998-10-28 2009-02-17 Certicom Corp. Power signature attack resistant cryptographic system

Also Published As

Publication number Publication date
DE10156708A1 (en) 2003-06-12
DE10156708B4 (en) 2005-09-29
TW580654B (en) 2004-03-21
WO2003044653A2 (en) 2003-05-30

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Legal Events

Date Code Title Description
MK6 Application lapsed section 142(2)(f)/reg. 8.3(3) - pct applic. not entering national phase