DE69840463D1 - Beschleunigte Finite-Feld-Operationen auf einer elliptischen Kurve - Google Patents

Beschleunigte Finite-Feld-Operationen auf einer elliptischen Kurve

Info

Publication number
DE69840463D1
DE69840463D1 DE69840463T DE69840463T DE69840463D1 DE 69840463 D1 DE69840463 D1 DE 69840463D1 DE 69840463 T DE69840463 T DE 69840463T DE 69840463 T DE69840463 T DE 69840463T DE 69840463 D1 DE69840463 D1 DE 69840463D1
Authority
DE
Germany
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.)
Expired - Lifetime
Application number
DE69840463T
Other languages
English (en)
Inventor
Scott A Vanstone
Ronald C Mullin
Adrian Antipa
Robert Gallant
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
Family has litigation
First worldwide family litigation filed litigation Critical https://patents.darts-ip.com/?family=26311256&utm_source=google_patent&utm_medium=platform_link&utm_campaign=public_patent_search&patent=DE69840463(D1) "Global patent litigation dataset” by Darts-ip is licensed under a Creative Commons Attribution 4.0 International License.
Priority claimed from GBGB9706150.1A external-priority patent/GB9706150D0/en
Priority claimed from GBGB9713138.7A external-priority patent/GB9713138D0/en
Application filed by Certicom Corp filed Critical Certicom Corp
Application granted granted Critical
Publication of DE69840463D1 publication Critical patent/DE69840463D1/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
    • G06F7/725—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
    • 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

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Complex Calculations (AREA)
  • Collating Specific Patterns (AREA)
DE69840463T 1997-03-25 1998-03-25 Beschleunigte Finite-Feld-Operationen auf einer elliptischen Kurve Expired - Lifetime DE69840463D1 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
GBGB9706150.1A GB9706150D0 (en) 1997-03-25 1997-03-25 Accelerated finite field operations on an elliptic curve
GBGB9713138.7A GB9713138D0 (en) 1997-06-20 1997-06-20 Accelerated finite field operations on an elliptic curve

Publications (1)

Publication Number Publication Date
DE69840463D1 true DE69840463D1 (de) 2009-03-05

Family

ID=26311256

Family Applications (1)

Application Number Title Priority Date Filing Date
DE69840463T Expired - Lifetime DE69840463D1 (de) 1997-03-25 1998-03-25 Beschleunigte Finite-Feld-Operationen auf einer elliptischen Kurve

Country Status (3)

Country Link
EP (1) EP0874307B2 (de)
CA (1) CA2233120C (de)
DE (1) DE69840463D1 (de)

Families Citing this family (24)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE69905145T2 (de) * 1998-03-25 2003-06-05 Certicom Corp Beschleunigte begrenztes-feld-operationen auf einer elliptischen kurve
JP3796993B2 (ja) 1998-12-22 2006-07-12 株式会社日立製作所 楕円曲線暗号実行方法及び装置並びに記録媒体
US6816594B1 (en) 1999-09-08 2004-11-09 Hitachi, Ltd. Elliptic curve generating method and device, elliptic encryption system and recording medium
US7200225B1 (en) 1999-11-12 2007-04-03 Richard Schroeppel Elliptic curve point ambiguity resolution apparatus and method
JP3794266B2 (ja) * 2000-11-08 2006-07-05 株式会社日立製作所 楕円曲線スカラー倍計算方法及び装置並びに記憶媒体
DE10057203C1 (de) * 2000-11-17 2002-06-06 Cv Cryptovision Gmbh Verfahren zur Berechnung eines digitalen Signalwertes für ein cryptographisches Verfahren
US20040158597A1 (en) * 2001-04-05 2004-08-12 Ye Ding Feng Method and apparatus for constructing efficient elliptic curve cryptosystems
CN100440776C (zh) * 2002-11-29 2008-12-03 北京华大信安科技有限公司 椭圆曲线签名和验证签名方法和装置
CN100452695C (zh) * 2002-11-29 2009-01-14 北京华大信安科技有限公司 椭圆曲线加密解密方法和装置
CA2542556C (en) 2005-06-03 2014-09-16 Tata Consultancy Services Limited An authentication system executing an elliptic curve digital signature cryptographic process
FR2902951B1 (fr) * 2006-06-23 2008-09-12 Sagem Defense Securite Cryptographie a courbe elliptique
EP2151947A1 (de) 2008-08-05 2010-02-10 Irdeto Access B.V. Schema zur gleichzeitigen Verschlüsselung und Unterschrift auf der Basis der Verschlüsselung elliptischer Kurven
US8184803B2 (en) 2008-12-29 2012-05-22 King Fahd University Of Petroleum And Minerals Hash functions using elliptic curve cryptography
US8705740B2 (en) 2008-12-30 2014-04-22 King Fahd University Of Petroleum And Minerals Elliptic curve-based message authentication code system and method
US8165287B2 (en) 2008-12-30 2012-04-24 King Fahd University Of Petroleum & Minerals Cryptographic hash functions using elliptic polynomial cryptography
US8170203B2 (en) 2008-12-31 2012-05-01 King Fahd University Of Petroleum & Minerals Message authentication code with elliptic polynomial hopping
US8189771B2 (en) 2009-01-12 2012-05-29 King Fahd University Of Petroleum & Minerals Hash functions with elliptic polynomial hopping
US8189775B2 (en) 2010-02-18 2012-05-29 King Fahd University Of Petroleum & Minerals Method of performing cipher block chaining using elliptic polynomial cryptography
US8331558B2 (en) 2010-02-18 2012-12-11 King Fahd University Of Petroleum And Minerals Method of cipher block chaining using elliptic curve cryptography
US8385541B2 (en) 2010-02-18 2013-02-26 King Fahd University Of Petroleum And Minerals Method of performing elliptic polynomial cryptography with elliptic polynomial hopping
US8351601B2 (en) 2010-02-18 2013-01-08 King Fahd University Of Petroleum And Minerals Elliptic polynomial cryptography with secret key embedding
US8332651B2 (en) 2010-02-18 2012-12-11 King Fahd University Of Petroleum And Minerals Method of generating a password protocol using elliptic polynomial cryptography
US8509426B1 (en) 2010-12-01 2013-08-13 King Fahd University Of Petroleum And Minerals XZ-elliptic curve cryptography system and method
US8699701B2 (en) 2010-12-01 2014-04-15 King Fahd University Method of performing XZ-elliptic curve cryptography for use with network security protocols

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0804758B1 (de) 1994-07-29 2005-11-09 Certicom Corp. Verschlüsselungssystem für elliptische kurve

Also Published As

Publication number Publication date
CA2233120A1 (en) 1998-09-25
EP0874307B1 (de) 2009-01-14
CA2233120C (en) 2009-08-11
EP0874307B2 (de) 2016-12-28
EP0874307A1 (de) 1998-10-28
EP0874307B9 (de) 2011-09-07

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Legal Events

Date Code Title Description
8363 Opposition against the patent
8328 Change in the person/name/address of the agent

Representative=s name: MERH-IP MATIAS ERNY REICHL HOFFMANN, 80336 MUENCHE