CA2176866C - Strengthened public key protocol - Google Patents

Strengthened public key protocol Download PDF

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Publication number
CA2176866C
CA2176866C CA2176866A CA2176866A CA2176866C CA 2176866 C CA2176866 C CA 2176866C CA 2176866 A CA2176866 A CA 2176866A CA 2176866 A CA2176866 A CA 2176866A CA 2176866 C CA2176866 C CA 2176866C
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CA
Canada
Prior art keywords
group
order
alpha
subgroup
prime
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
CA2176866A
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English (en)
French (fr)
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CA2176866A1 (en
Inventor
Scott A. Vanstone
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
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Certicom Corp
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First worldwide family litigation filed litigation Critical https://patents.darts-ip.com/?family=10774642&utm_source=google_patent&utm_medium=platform_link&utm_campaign=public_patent_search&patent=CA2176866(C) "Global patent litigation dataset” by Darts-ip is licensed under a Creative Commons Attribution 4.0 International License.
Application filed by Certicom Corp filed Critical Certicom Corp
Publication of CA2176866A1 publication Critical patent/CA2176866A1/en
Application granted granted Critical
Publication of CA2176866C publication Critical patent/CA2176866C/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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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
    • H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
    • H04L9/0816—Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
    • H04L9/0838—Key agreement, i.e. key establishment technique in which a shared key is derived by parties as a function of information contributed by, or associated with, each of these
    • H04L9/0841—Key agreement, i.e. key establishment technique in which a shared key is derived by parties as a function of information contributed by, or associated with, each of these involving Diffie-Hellman or related key agreement protocols
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; 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

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Data Exchanges In Wide-Area Networks (AREA)
CA2176866A 1995-05-18 1996-05-17 Strengthened public key protocol Expired - Lifetime CA2176866C (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
GB9510035.0 1995-05-18
GBGB9510035.0A GB9510035D0 (en) 1995-05-18 1995-05-18 Strengthened public key protocols

Publications (2)

Publication Number Publication Date
CA2176866A1 CA2176866A1 (en) 1996-11-19
CA2176866C true CA2176866C (en) 2013-02-12

Family

ID=10774642

Family Applications (1)

Application Number Title Priority Date Filing Date
CA2176866A Expired - Lifetime CA2176866C (en) 1995-05-18 1996-05-17 Strengthened public key protocol

Country Status (5)

Country Link
US (2) US5933504A (en:Method)
EP (3) EP0743774B2 (en:Method)
CA (1) CA2176866C (en:Method)
DE (1) DE69637714D1 (en:Method)
GB (1) GB9510035D0 (en:Method)

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KR101999188B1 (ko) 2016-02-23 2019-07-11 엔체인 홀딩스 리미티드 비밀 공유를 위한 타원 곡선 암호를 사용하는 개인용 장치 보안
GB2561466A (en) 2016-02-23 2018-10-17 Nchain Holdings Ltd Methods and systems for efficient transfer of entities on a peer-to-peer distributed ledger using the blockchain
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BR112018016821A2 (pt) 2016-02-23 2018-12-26 Nchain Holdings Ltd sistema e métodos implementados por computador
AU2017223136B2 (en) 2016-02-23 2022-06-02 nChain Holdings Limited Registry and automated management method for blockchain-enforced smart contracts
KR20180115727A (ko) 2016-02-23 2018-10-23 엔체인 홀딩스 리미티드 보안 투표 및 분배에서 사용을 위한 블록체인 구현 카운팅 시스템 및 방법
CA3013182A1 (en) 2016-02-23 2017-08-31 nChain Holdings Limited Universal tokenisation system for blockchain-based cryptocurrencies
BR112018016782A2 (pt) 2016-02-23 2018-12-26 Nchain Holdings Ltd sistema e método implementado por computador configurado para controlar uma transferência feita através de um blockchain
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GB201815396D0 (en) 2018-09-21 2018-11-07 Nchain Holdings Ltd Computer implemented system and method
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Also Published As

Publication number Publication date
GB9510035D0 (en) 1995-08-02
EP0743774A3 (en) 1999-10-06
EP2031794B1 (en) 2019-01-23
US6563928B1 (en) 2003-05-13
DE69637714D1 (en:Method) 2008-11-27
EP2285039A1 (en) 2011-02-16
EP0743774A2 (en) 1996-11-20
US5933504A (en) 1999-08-03
EP2031794A3 (en) 2010-06-30
EP0743774B1 (en) 2008-10-15
EP0743774B2 (en) 2018-09-05
CA2176866A1 (en) 1996-11-19
EP2031794A2 (en) 2009-03-04

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Effective date: 20160517