ATE533103T1 - Beschleunigte verifikation digitaler signaturen und öffentlicher schlüssel - Google Patents

Beschleunigte verifikation digitaler signaturen und öffentlicher schlüssel

Info

Publication number
ATE533103T1
ATE533103T1 AT06701572T AT06701572T ATE533103T1 AT E533103 T1 ATE533103 T1 AT E533103T1 AT 06701572 T AT06701572 T AT 06701572T AT 06701572 T AT06701572 T AT 06701572T AT E533103 T1 ATE533103 T1 AT E533103T1
Authority
AT
Austria
Prior art keywords
verification
bit length
public keys
digital signatures
accelerated verification
Prior art date
Application number
AT06701572T
Other languages
English (en)
Inventor
Marinus Struik
Robert Gallant
Daniel Brown
Scott A Vanstone
Robert Lambert
Adrian Antipa
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
Application granted granted Critical
Publication of ATE533103T1 publication Critical patent/ATE533103T1/de

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
    • H04L9/3066—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
    • 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
    • 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
    • H04L9/32—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials
    • H04L9/3247—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials involving digital signatures
    • H04L9/3252—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials involving digital signatures using DSA or related signature schemes, e.g. elliptic based signatures, ElGamal or Schnorr schemes

Landscapes

  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Computer Security & Cryptography (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • Algebra (AREA)
  • General Engineering & Computer Science (AREA)
  • Complex Calculations (AREA)
  • Storage Device Security (AREA)
  • Error Detection And Correction (AREA)
  • Credit Cards Or The Like (AREA)
AT06701572T 2005-01-18 2006-01-18 Beschleunigte verifikation digitaler signaturen und öffentlicher schlüssel ATE533103T1 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US64403405P 2005-01-18 2005-01-18
PCT/CA2006/000058 WO2006076800A1 (en) 2005-01-18 2006-01-18 Accelerated verification of digital signatures and public keys

Publications (1)

Publication Number Publication Date
ATE533103T1 true ATE533103T1 (de) 2011-11-15

Family

ID=36691948

Family Applications (1)

Application Number Title Priority Date Filing Date
AT06701572T ATE533103T1 (de) 2005-01-18 2006-01-18 Beschleunigte verifikation digitaler signaturen und öffentlicher schlüssel

Country Status (7)

Country Link
US (4) US8204232B2 (de)
EP (2) EP1842128B1 (de)
JP (3) JP5068176B2 (de)
AT (1) ATE533103T1 (de)
CA (2) CA2592875C (de)
HK (1) HK1165053A1 (de)
WO (1) WO2006076800A1 (de)

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US20130064367A1 (en) 2013-03-14
US8806197B2 (en) 2014-08-12
CA2935823A1 (en) 2006-07-27
CA2935823C (en) 2019-01-15
EP1842128B1 (de) 2011-11-09
EP1842128A4 (de) 2009-11-04
US8204232B2 (en) 2012-06-19
EP1842128A1 (de) 2007-10-10
US20120230494A1 (en) 2012-09-13
CA2592875C (en) 2016-09-06
US20140344579A1 (en) 2014-11-20
WO2006076800A1 (en) 2006-07-27
JP5373026B2 (ja) 2013-12-18
EP2395424B1 (de) 2013-07-31
JP5068176B2 (ja) 2012-11-07
US10284370B2 (en) 2019-05-07
US20070064932A1 (en) 2007-03-22
US8788827B2 (en) 2014-07-22
JP2012212164A (ja) 2012-11-01
JP2008527865A (ja) 2008-07-24
CA2592875A1 (en) 2006-07-27
HK1165053A1 (en) 2012-09-28
EP2395424A1 (de) 2011-12-14

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