AU2917699A - Accelerated finite field operations on an elliptic curve - Google Patents

Accelerated finite field operations on an elliptic curve

Info

Publication number
AU2917699A
AU2917699A AU29176/99A AU2917699A AU2917699A AU 2917699 A AU2917699 A AU 2917699A AU 29176/99 A AU29176/99 A AU 29176/99A AU 2917699 A AU2917699 A AU 2917699A AU 2917699 A AU2917699 A AU 2917699A
Authority
AU
Australia
Prior art keywords
accelerated
elliptic curve
finite field
field operations
operations
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
AU29176/99A
Other languages
English (en)
Inventor
Adrian Antipa
Robert Gallant
Ronald C. Mullin
Scott A. Vanstone
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.)
Certicom Corp
Original Assignee
Certicom Corp
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 Certicom Corp filed Critical Certicom Corp
Publication of AU2917699A publication Critical patent/AU2917699A/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

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)
AU29176/99A 1998-03-25 1999-03-25 Accelerated finite field operations on an elliptic curve Abandoned AU2917699A (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US4751898A 1998-03-25 1998-03-25
US09047518 1998-03-25
PCT/CA1999/000254 WO1999049386A1 (en) 1998-03-25 1999-03-25 Accelerated finite field operations on an elliptic curve

Publications (1)

Publication Number Publication Date
AU2917699A true AU2917699A (en) 1999-10-18

Family

ID=21949428

Family Applications (1)

Application Number Title Priority Date Filing Date
AU29176/99A Abandoned AU2917699A (en) 1998-03-25 1999-03-25 Accelerated finite field operations on an elliptic curve

Country Status (6)

Country Link
EP (1) EP1066558B1 (https=)
JP (1) JP4598269B2 (https=)
AU (1) AU2917699A (https=)
CA (1) CA2324621C (https=)
DE (1) DE69905145T2 (https=)
WO (1) WO1999049386A1 (https=)

Families Citing this family (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CA2243761C (en) * 1998-07-21 2009-10-06 Certicom Corp. Timing attack resistant cryptographic system
DE10156708B4 (de) * 2001-11-19 2005-09-29 Infineon Technologies Ag Verfahren und Vorrichtung zum Multiplizieren und Verfahren und Vorrichtung zum Addieren auf einer elliptischen Kurve
JP4067818B2 (ja) 2001-12-10 2008-03-26 富士通株式会社 楕円曲線暗号装置、楕円曲線暗号プログラム及び楕円曲線暗号の演算方法
DE10161138B4 (de) * 2001-12-12 2008-02-14 Siemens Ag Verfahren und Vorrichtung zum Ermitteln einer elliptischen Kurve, Verfahren und Vorrichtung zum Multiplizieren eines Punktes mit einem Skalar
DE10161137B4 (de) * 2001-12-12 2008-02-14 Siemens Ag Verfahren und System zum kryptographischen Bearbeiten von Daten

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO1996004602A1 (en) * 1994-07-29 1996-02-15 Certicom Corp. Elliptic curve encryption systems
EP0874307B2 (en) * 1997-03-25 2016-12-28 Certicom Corp. Accelerated finite field operations on an elliptic curve

Also Published As

Publication number Publication date
JP2002508523A (ja) 2002-03-19
CA2324621C (en) 2009-07-07
EP1066558A1 (en) 2001-01-10
JP4598269B2 (ja) 2010-12-15
EP1066558B1 (en) 2003-01-29
DE69905145T2 (de) 2003-06-05
WO1999049386A1 (en) 1999-09-30
DE69905145D1 (de) 2003-03-06
CA2324621A1 (en) 1999-09-30

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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