AU2001294528A1 - Fast irreducibility and subgroup membership testing in xtr - Google Patents

Fast irreducibility and subgroup membership testing in xtr

Info

Publication number
AU2001294528A1
AU2001294528A1 AU2001294528A AU9452801A AU2001294528A1 AU 2001294528 A1 AU2001294528 A1 AU 2001294528A1 AU 2001294528 A AU2001294528 A AU 2001294528A AU 9452801 A AU9452801 A AU 9452801A AU 2001294528 A1 AU2001294528 A1 AU 2001294528A1
Authority
AU
Australia
Prior art keywords
xtr
irreducibility
fast
subgroup membership
membership testing
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
AU2001294528A
Inventor
Arjen K. Lenstra
Eric R. Verheul
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 AU2001294528A1 publication Critical patent/AU2001294528A1/en
Abandoned legal-status Critical Current

Links

Classifications

    • 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
    • H04L9/3093—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving Lattices or polynomial equations, e.g. NTRU scheme
    • 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
    • H04L9/002—Countermeasures against attacks on cryptographic mechanisms
    • 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
    • H04L2209/26—Testing cryptographic entity, e.g. testing integrity of encryption key or encryption algorithm
    • 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)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • Algebra (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computing Systems (AREA)
  • Theoretical Computer Science (AREA)
  • Complex Calculations (AREA)
AU2001294528A 2000-09-21 2001-09-21 Fast irreducibility and subgroup membership testing in xtr Abandoned AU2001294528A1 (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US23423500P 2000-09-21 2000-09-21
US60234235 2000-09-21
PCT/US2001/027726 WO2002025851A1 (en) 2000-09-21 2001-09-21 Fast irreducibility and subgroup membership testing in xtr

Publications (1)

Publication Number Publication Date
AU2001294528A1 true AU2001294528A1 (en) 2002-04-02

Family

ID=22880506

Family Applications (1)

Application Number Title Priority Date Filing Date
AU2001294528A Abandoned AU2001294528A1 (en) 2000-09-21 2001-09-21 Fast irreducibility and subgroup membership testing in xtr

Country Status (3)

Country Link
US (1) US20020051543A1 (en)
AU (1) AU2001294528A1 (en)
WO (1) WO2002025851A1 (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP4587162B2 (en) * 2004-06-04 2010-11-24 キヤノン株式会社 Information processing apparatus, information processing method, and program thereof

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6252960B1 (en) * 1998-08-04 2001-06-26 Hewlett-Packard Company Compression and decompression of elliptic curve data points

Also Published As

Publication number Publication date
US20020051543A1 (en) 2002-05-02
WO2002025851A1 (en) 2002-03-28

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