AU6243899A - Elliptic curve cryptosystems for low memory devices - Google Patents

Elliptic curve cryptosystems for low memory devices

Info

Publication number
AU6243899A
AU6243899A AU62438/99A AU6243899A AU6243899A AU 6243899 A AU6243899 A AU 6243899A AU 62438/99 A AU62438/99 A AU 62438/99A AU 6243899 A AU6243899 A AU 6243899A AU 6243899 A AU6243899 A AU 6243899A
Authority
AU
Australia
Prior art keywords
memory devices
elliptic curve
low memory
curve cryptosystems
cryptosystems
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
AU62438/99A
Inventor
Janos A. Csirik
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.)
Citibank NA
Original Assignee
Citibank NA
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 Citibank NA filed Critical Citibank NA
Publication of AU6243899A publication Critical patent/AU6243899A/en
Abandoned 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
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3066—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L2209/00—Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
    • H04L2209/80—Wireless

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Computing Systems (AREA)
  • Computational Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Mobile Radio Communication Systems (AREA)
AU62438/99A 1998-09-08 1999-09-07 Elliptic curve cryptosystems for low memory devices Abandoned AU6243899A (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US9942498P 1998-09-08 1998-09-08
US60099424 1998-09-08
PCT/US1999/020411 WO2000014924A1 (en) 1998-09-08 1999-09-07 Elliptic curve cryptosystems for low memory devices

Publications (1)

Publication Number Publication Date
AU6243899A true AU6243899A (en) 2000-03-27

Family

ID=22274947

Family Applications (1)

Application Number Title Priority Date Filing Date
AU62438/99A Abandoned AU6243899A (en) 1998-09-08 1999-09-07 Elliptic curve cryptosystems for low memory devices

Country Status (4)

Country Link
EP (1) EP1112637A1 (en)
JP (1) JP2002524778A (en)
AU (1) AU6243899A (en)
WO (1) WO2000014924A1 (en)

Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7209555B2 (en) 2001-10-25 2007-04-24 Matsushita Electric Industrial Co., Ltd. Elliptic curve converting device, elliptic curve converting method, elliptic curve utilization device and elliptic curve generating device
DE10329885B4 (en) * 2003-07-02 2005-10-06 Universität Augsburg Method of constructing elliptic curves over finite bodies
US7499544B2 (en) 2003-11-03 2009-03-03 Microsoft Corporation Use of isogenies for design of cryptosystems
WO2019056103A1 (en) * 2017-09-21 2019-03-28 Infosec Global Inc. Three-party supersingular elliptic curve cryptography key agreement scheme

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5442707A (en) * 1992-09-28 1995-08-15 Matsushita Electric Industrial Co., Ltd. Method for generating and verifying electronic signatures and privacy communication using elliptic curves

Also Published As

Publication number Publication date
WO2000014924A1 (en) 2000-03-16
JP2002524778A (en) 2002-08-06
EP1112637A1 (en) 2001-07-04

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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