DE69534603D1 - Verschlüsselungssystem für elliptische kurve - Google Patents

Verschlüsselungssystem für elliptische kurve

Info

Publication number
DE69534603D1
DE69534603D1 DE69534603T DE69534603T DE69534603D1 DE 69534603 D1 DE69534603 D1 DE 69534603D1 DE 69534603 T DE69534603 T DE 69534603T DE 69534603 T DE69534603 T DE 69534603T DE 69534603 D1 DE69534603 D1 DE 69534603D1
Authority
DE
Germany
Prior art keywords
elliptic curve
encryption system
encryption
elliptic
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.)
Expired - Lifetime
Application number
DE69534603T
Other languages
English (en)
Other versions
DE69534603T2 (de
Inventor
C Mullin
A Vanstone
B Agnew
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 DE69534603D1 publication Critical patent/DE69534603D1/de
Application granted granted Critical
Publication of DE69534603T2 publication Critical patent/DE69534603T2/de
Anticipated expiration legal-status Critical
Expired - Lifetime 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
    • G06F7/726—Inversion; Reciprocal calculation; Division of elements of a finite field
    • 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
    • H04L2209/12—Details relating to cryptographic hardware or logic circuitry
    • H04L2209/125—Parallelization or pipelining, e.g. for accelerating processing of cryptographic operations

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Complex Calculations (AREA)
  • Error Detection And Correction (AREA)
  • Storage Device Security (AREA)
DE69534603T 1994-07-29 1995-07-31 Verschlüsselungssystem für elliptische kurve Expired - Lifetime DE69534603T2 (de)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US28226394A 1994-07-29 1994-07-29
US282263 1994-07-29
PCT/CA1995/000452 WO1996004602A1 (en) 1994-07-29 1995-07-31 Elliptic curve encryption systems

Publications (2)

Publication Number Publication Date
DE69534603D1 true DE69534603D1 (de) 2005-12-15
DE69534603T2 DE69534603T2 (de) 2006-08-03

Family

ID=23080732

Family Applications (1)

Application Number Title Priority Date Filing Date
DE69534603T Expired - Lifetime DE69534603T2 (de) 1994-07-29 1995-07-31 Verschlüsselungssystem für elliptische kurve

Country Status (5)

Country Link
US (2) US6141420A (de)
EP (1) EP0804758B1 (de)
AU (1) AU3073595A (de)
DE (1) DE69534603T2 (de)
WO (1) WO1996004602A1 (de)

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US6141420A (en) 2000-10-31
EP0804758B1 (de) 2005-11-09
DE69534603T2 (de) 2006-08-03
WO1996004602A1 (en) 1996-02-15
US6618483B1 (en) 2003-09-09
AU3073595A (en) 1996-03-04
EP0804758A1 (de) 1997-11-05

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