ATE261219T1 - Kryptographische systeme mit von den teilnehmern ausgewählten elliptischen kurven - Google Patents

Kryptographische systeme mit von den teilnehmern ausgewählten elliptischen kurven

Info

Publication number
ATE261219T1
ATE261219T1 AT99966051T AT99966051T ATE261219T1 AT E261219 T1 ATE261219 T1 AT E261219T1 AT 99966051 T AT99966051 T AT 99966051T AT 99966051 T AT99966051 T AT 99966051T AT E261219 T1 ATE261219 T1 AT E261219T1
Authority
AT
Austria
Prior art keywords
participants
chosen
elliptic curves
public key
elliptic
Prior art date
Application number
AT99966051T
Other languages
English (en)
Inventor
Arjen K Lenstra
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
Application granted granted Critical
Publication of ATE261219T1 publication Critical patent/ATE261219T1/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
    • H04L9/3073—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 involving pairings, e.g. identity based encryption [IBE], bilinear mappings or bilinear pairings, e.g. Weil or Tate pairing

Landscapes

  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Algebra (AREA)
  • Computing Systems (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Signal Processing (AREA)
  • Two-Way Televisions, Distribution Of Moving Picture Or The Like (AREA)
  • Computer And Data Communications (AREA)
  • Complex Calculations (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Telephonic Communication Services (AREA)
  • Medicines That Contain Protein Lipid Enzymes And Other Medicines (AREA)
  • Ultra Sonic Daignosis Equipment (AREA)
  • Medicines Containing Material From Animals Or Micro-Organisms (AREA)
AT99966051T 1998-12-10 1999-12-07 Kryptographische systeme mit von den teilnehmern ausgewählten elliptischen kurven ATE261219T1 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US09/209,436 US6446205B1 (en) 1998-12-10 1998-12-10 Cryptosystems with elliptic curves chosen by users
PCT/US1999/029081 WO2000035142A1 (en) 1998-12-10 1999-12-07 Cryptosystems with elliptic curves chosen by users

Publications (1)

Publication Number Publication Date
ATE261219T1 true ATE261219T1 (de) 2004-03-15

Family

ID=22778754

Family Applications (1)

Application Number Title Priority Date Filing Date
AT99966051T ATE261219T1 (de) 1998-12-10 1999-12-07 Kryptographische systeme mit von den teilnehmern ausgewählten elliptischen kurven

Country Status (7)

Country Link
US (1) US6446205B1 (de)
EP (1) EP1135886B1 (de)
JP (1) JP2002532957A (de)
AT (1) ATE261219T1 (de)
AU (1) AU2169300A (de)
DE (1) DE69915341D1 (de)
WO (1) WO2000035142A1 (de)

Families Citing this family (23)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CA2649680A1 (en) * 1999-02-26 2000-08-26 Certicom Corp. Method and apparatus for finite field basis conversion
US6778666B1 (en) * 1999-03-15 2004-08-17 Lg Electronics Inc. Cryptographic method using construction of elliptic curve cryptosystem
US20030009694A1 (en) * 2001-02-25 2003-01-09 Storymail, Inc. Hardware architecture, operating system and network transport neutral system, method and computer program product for secure communications and messaging
DE60236094D1 (de) * 2001-08-13 2010-06-02 Univ R Systeme und Verfahren zur Verschlüsselung auf Identitätsbasis und damit zusammenhängende kryptografische Techniken
US7136484B1 (en) * 2001-10-01 2006-11-14 Silicon Image, Inc. Cryptosystems using commuting pairs in a monoid
US7461115B2 (en) * 2002-05-01 2008-12-02 Sun Microsystems, Inc. Modular multiplier
GB2401014B (en) * 2003-04-23 2005-09-14 Hewlett Packard Development Co Cryptographic method and apparatus
DE602004001273T2 (de) * 2003-04-23 2007-05-31 Hewlett-Packard Development Co., L.P., Houston Verfahren und Vorrichtung zur Identifiezierungsbasierten Verschlüsselung
US20050021973A1 (en) * 2003-04-23 2005-01-27 Liqun Chen Cryptographic method and apparatus
US20040264702A1 (en) * 2003-06-30 2004-12-30 Eastlake Donald E. Method and apparatus for producing cryptographic keys
US7298839B2 (en) 2003-07-25 2007-11-20 Microsoft Corporation Squared Weil and Tate pairing techniques for use with elliptic curves
US7769167B2 (en) * 2003-07-25 2010-08-03 Microsoft Corporation Weil and Tate pairing techniques using parabolas
US7440569B2 (en) * 2003-07-28 2008-10-21 Microsoft Corporation Tate pairing techniques for use with hyperelliptic curves
US20050135605A1 (en) * 2003-12-17 2005-06-23 Dimitrov Vassil S. Cryptographic exponentiation methods
GB2413465B (en) * 2004-04-23 2007-04-04 Hewlett Packard Development Co Cryptographic method and apparatus
JP5690465B2 (ja) * 2004-11-11 2015-03-25 サーティコム コーポレーション カスタム静的ディフィ−ヘルマン（Ｄｉｆｆｉｅ−Ｈｅｌｌｍａｎ）群
EP1848143A4 (de) * 2005-02-10 2010-04-14 Nec Corp Mitglieder-zertifikats-beschaffungseinrichtung, mitglieder-zertifikat-ausgabeeinrichtung, gruppensigniereinrichtung und gruppensignatur-verifiziereinrichtung
US8062780B2 (en) 2005-03-17 2011-11-22 Nec Corporation Film-covered electric device and method of manufacturing same
CN100437611C (zh) * 2005-08-03 2008-11-26 武汉理工大学 一种基于椭圆曲线的可控授权电子签名方法
US8853666B2 (en) 2005-12-28 2014-10-07 Renesas Electronics Corporation Field effect transistor, and multilayered epitaxial film for use in preparation of field effect transistor
US9002003B2 (en) * 2006-11-29 2015-04-07 Certicom Corp. Password protocol for data communication system
CN101425897B (zh) * 2007-10-29 2011-05-18 上海交通大学 一种用户认证方法、系统、服务器和用户节点
CN112805704A (zh) * 2018-08-07 2021-05-14 黑文技术私人有限公司 保护数据的方法和系统

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5351297A (en) 1991-06-28 1994-09-27 Matsushita Electric Industrial Co., Ltd. Method of privacy communication using elliptic curves
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
EP0704124A4 (de) * 1992-12-22 1999-03-24 Telstra Corp Ltd Verschlüsselungsverfahren
US5497423A (en) * 1993-06-18 1996-03-05 Matsushita Electric Industrial Co., Ltd. Method of implementing elliptic curve cryptosystems in digital signatures or verification and privacy communication
US5793866A (en) * 1995-12-13 1998-08-11 Motorola, Inc. Communication method and device

Also Published As

Publication number Publication date
WO2000035142A9 (en) 2000-11-30
AU2169300A (en) 2000-06-26
EP1135886B1 (de) 2004-03-03
WO2000035142A1 (en) 2000-06-15
DE69915341D1 (de) 2004-04-08
JP2002532957A (ja) 2002-10-02
WO2000035142A8 (en) 2001-03-01
US6446205B1 (en) 2002-09-03
EP1135886A1 (de) 2001-09-26

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Legal Events

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