CA2237688C - Key agreement and transport protocol with implicit signatures - Google Patents

Key agreement and transport protocol with implicit signatures Download PDF

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Publication number
CA2237688C
CA2237688C CA002237688A CA2237688A CA2237688C CA 2237688 C CA2237688 C CA 2237688C CA 002237688 A CA002237688 A CA 002237688A CA 2237688 A CA2237688 A CA 2237688A CA 2237688 C CA2237688 C CA 2237688C
Authority
CA
Canada
Prior art keywords
key
correspondent
public key
short term
signature
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
CA002237688A
Other languages
English (en)
French (fr)
Other versions
CA2237688A1 (en
Inventor
Scott A. Vanstone
Alfred John Menezes
Mingua Qu
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 CA2237688A1 publication Critical patent/CA2237688A1/en
Application granted granted Critical
Publication of CA2237688C publication Critical patent/CA2237688C/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/08Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
    • H04L9/0816Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
    • H04L9/0838Key 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
    • H04L9/0841Key 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
    • H04L9/0844Key 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 with user authentication or key authentication, e.g. ElGamal, MTI, MQV-Menezes-Qu-Vanstone protocol or Diffie-Hellman protocols using implicitly-certified keys
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/32Cryptographic 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
    • H04L9/3247Cryptographic 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
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60Methods 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
    • G06F7/72Methods 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
    • G06F7/724Finite field arithmetic
    • G06F7/725Finite field arithmetic over elliptic curves
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S40/00Systems for electrical power generation, transmission, distribution or end-user application management characterised by the use of communication or information technologies, or communication or information technology specific aspects supporting them
    • Y04S40/20Information technology specific aspects, e.g. CAD, simulation, modelling, system security

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Computer And Data Communications (AREA)
  • Storage Device Security (AREA)
  • Data Exchanges In Wide-Area Networks (AREA)
CA002237688A 1995-04-21 1996-10-18 Key agreement and transport protocol with implicit signatures Expired - Lifetime CA2237688C (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US42671295A 1995-04-21 1995-04-21
US08/442,833 US5761305A (en) 1995-04-21 1995-05-17 Key agreement and transport protocol with implicit signatures
PCT/US1996/016608 WO1998018234A1 (en) 1995-04-21 1996-10-18 Key agreement and transport protocol with implicit signatures

Publications (2)

Publication Number Publication Date
CA2237688A1 CA2237688A1 (en) 1998-04-30
CA2237688C true CA2237688C (en) 2007-07-24

Family

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Family Applications (1)

Application Number Title Priority Date Filing Date
CA002237688A Expired - Lifetime CA2237688C (en) 1995-04-21 1996-10-18 Key agreement and transport protocol with implicit signatures

Country Status (7)

Country Link
US (1) US5761305A (cg-RX-API-DMAC7.html)
EP (1) EP0873617B1 (cg-RX-API-DMAC7.html)
JP (1) JP4384728B2 (cg-RX-API-DMAC7.html)
AU (1) AU1405797A (cg-RX-API-DMAC7.html)
CA (1) CA2237688C (cg-RX-API-DMAC7.html)
DE (1) DE69636815T2 (cg-RX-API-DMAC7.html)
WO (1) WO1998018234A1 (cg-RX-API-DMAC7.html)

Families Citing this family (92)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7334127B2 (en) * 1995-04-21 2008-02-19 Certicom Corp. Key agreement and transport protocol
AU5266596A (en) * 1995-04-21 1996-11-07 Certicom Corp. Method for signature and session key generation
US6487661B2 (en) 1995-04-21 2002-11-26 Certicom Corp. Key agreement and transport protocol
US7243232B2 (en) 1995-04-21 2007-07-10 Certicom Corp. Key agreement and transport protocol
US6785813B1 (en) * 1997-11-07 2004-08-31 Certicom Corp. Key agreement and transport protocol with implicit signatures
CA2176972C (en) * 1995-05-17 2008-11-25 Scott A. Vanstone Key agreement and transport protocol with implicit signatures
GB9510035D0 (en) 1995-05-18 1995-08-02 Cryptech Systems Inc Strengthened public key protocols
KR0146437B1 (ko) * 1995-05-26 1998-09-15 조백제 인증교환 방법, 복원형 전자서명 방법, 부가형 전자서명 방법, 키교환 방법, 복원형 다중전자서명 방법, 부가형 다중전자서명 방법 및 블라인드 전자서명 방법
US5978482A (en) * 1995-08-21 1999-11-02 International Business Machines Corporation Method and system for protection of digital information
US7567669B2 (en) 1996-05-17 2009-07-28 Certicom Corp. Strengthened public key protocol
US5796830A (en) * 1996-07-29 1998-08-18 International Business Machines Corporation Interoperable cryptographic key recovery system
US6292896B1 (en) * 1997-01-22 2001-09-18 International Business Machines Corporation Method and apparatus for entity authentication and session key generation
US5915021A (en) * 1997-02-07 1999-06-22 Nokia Mobile Phones Limited Method for secure communications in a telecommunications system
US6539479B1 (en) * 1997-07-15 2003-03-25 The Board Of Trustees Of The Leland Stanford Junior University System and method for securely logging onto a remotely located computer
IL121876A0 (en) * 1997-09-30 1998-02-20 Aliroo Ltd Electronic publishing
US6424712B2 (en) * 1997-10-17 2002-07-23 Certicom Corp. Accelerated signature verification on an elliptic curve
US6246771B1 (en) * 1997-11-26 2001-06-12 V-One Corporation Session key recovery system and method
US7171559B1 (en) * 1998-03-18 2007-01-30 Kent Ridge Digital Labs Method of exchanging digital data
US6212279B1 (en) 1998-06-26 2001-04-03 The United States Of America As Represented By The United States National Security Agency Method of elliptic curve cryptographic key exchange using reduced base tau expansion in non-adjacent form
US6243467B1 (en) 1998-07-23 2001-06-05 The United States Of America As Represented By The National Security Agency Method of elliptic curve cryptographic digital signature generation and verification using reduced base tau expansion in non-adjacent form
US6697488B1 (en) * 1998-08-26 2004-02-24 International Business Machines Corporation Practical non-malleable public-key cryptosystem
US7111173B1 (en) 1998-09-01 2006-09-19 Tecsec, Inc. Encryption process including a biometric unit
FI115372B (fi) * 1998-09-18 2005-04-15 Nokia Corp Menetelmä matkaviestimen tunnistamiseksi, viestintäjärjestelmä ja matkaviestin
US7215773B1 (en) 1998-10-14 2007-05-08 Certicom.Corp. Key validation scheme
US6684330B1 (en) 1998-10-16 2004-01-27 Tecsec, Inc. Cryptographic information and flow control
CA2368307C (en) * 1999-03-11 2007-05-22 Tecsec, Incorporated Voice and data encryption method using a cryptographic key split combiner
US7095851B1 (en) 1999-03-11 2006-08-22 Tecsec, Inc. Voice and data encryption method using a cryptographic key split combiner
US7707420B1 (en) * 1999-06-23 2010-04-27 Research In Motion Limited Public key encryption with digital signature scheme
CA2277633C (en) 1999-07-19 2009-10-20 Certicom Corp. Split-key key-agreement protocol
US7434046B1 (en) 1999-09-10 2008-10-07 Cisco Technology, Inc. Method and apparatus providing secure multicast group communication
US7013389B1 (en) 1999-09-29 2006-03-14 Cisco Technology, Inc. Method and apparatus for creating a secure communication channel among multiple event service nodes
US7181014B1 (en) 1999-09-10 2007-02-20 Cisco Technology, Inc. Processing method for key exchange among broadcast or multicast groups that provides a more efficient substitute for Diffie-Hellman key exchange
US6987855B1 (en) * 1999-09-10 2006-01-17 Cisco Technology, Inc. Operational optimization of a shared secret Diffie-Hellman key exchange among broadcast or multicast groups
US7260716B1 (en) 1999-09-29 2007-08-21 Cisco Technology, Inc. Method for overcoming the single point of failure of the central group controller in a binary tree group key exchange approach
US7103185B1 (en) * 1999-12-22 2006-09-05 Cisco Technology, Inc. Method and apparatus for distributing and updating private keys of multicast group managers using directory replication
US6684331B1 (en) 1999-12-22 2004-01-27 Cisco Technology, Inc. Method and apparatus for distributing and updating group controllers over a wide area network using a tree structure
US6708049B1 (en) 1999-09-28 2004-03-16 Nellcor Puritan Bennett Incorporated Sensor with signature of data relating to sensor
US6442696B1 (en) 1999-10-05 2002-08-27 Authoriszor, Inc. System and method for extensible positive client identification
US7089211B1 (en) * 2000-01-12 2006-08-08 Cisco Technology, Inc. Directory enabled secure multicast group communications
US6941457B1 (en) 2000-06-30 2005-09-06 Cisco Technology, Inc. Establishing a new shared secret key over a broadcast channel for a multicast group based on an old shared secret key
CA2445573A1 (en) * 2001-04-27 2002-11-07 Massachusetts Institute Of Technology Method and system for micropayment transactions
DE10137152A1 (de) * 2001-07-30 2003-02-27 Scm Microsystems Gmbh Verfahren zur Übertragung vertraulicher Daten
US7334125B1 (en) 2001-11-27 2008-02-19 Cisco Technology, Inc. Facilitating secure communications among multicast nodes in a telecommunications network
CA2369540C (en) 2001-12-31 2013-10-01 Certicom Corp. Method and apparatus for computing a shared secret key
CA2375898A1 (en) * 2002-03-11 2003-09-11 Karthika Technologies Inc. Authentication protocols for networked storage devices
US7073068B2 (en) * 2002-05-24 2006-07-04 Lucent Technologies Inc. Method and apparatus for distributing shares of a password for use in multi-server password authentication
US7024559B1 (en) 2002-06-28 2006-04-04 The United States Of America As Represented By The National Security Agency Method of elliptic curve digital signature using expansion in joint sparse form
US7062043B1 (en) 2002-06-28 2006-06-13 The United States Of America As Represented By The National Security Agency Method of elliptic curve digital signature using coefficient splitting
WO2005096542A1 (en) 2004-04-02 2005-10-13 Research In Motion Limited Deploying and provisioning wireless handheld devices
US7646872B2 (en) 2004-04-02 2010-01-12 Research In Motion Limited Systems and methods to securely generate shared keys
US20060004896A1 (en) * 2004-06-16 2006-01-05 International Business Machines Corporation Managing unwanted/unsolicited e-mail protection using sender identity
CN101048970B (zh) * 2004-10-29 2012-05-23 汤姆森许可贸易公司 安全认证信道
JP5068176B2 (ja) 2005-01-18 2012-11-07 サーティコム コーポレーション デジタル署名と公開鍵の促進された検証
US8467535B2 (en) * 2005-01-18 2013-06-18 Certicom Corp. Accelerated verification of digital signatures and public keys
US7747865B2 (en) * 2005-02-10 2010-06-29 International Business Machines Corporation Method and structure for challenge-response signatures and high-performance secure Diffie-Hellman protocols
US8443191B2 (en) 2007-04-09 2013-05-14 Objective Interface Systems, Inc. System and method for accessing information resources using cryptographic authorization permits
US8681129B2 (en) * 2007-11-12 2014-03-25 Hewlett-Packard Development Company, L.P. Associating auxiliary data with digital ink
CA2709327C (en) 2007-12-13 2015-11-24 Certicom Corp. System and method for controlling features on a device
EP2350910B1 (en) 2008-11-24 2018-07-25 Certicom Corp. System and method for hardware based security
CN102318260B (zh) * 2008-12-16 2016-04-20 塞尔蒂卡姆公司 密钥协商协议的加速
US9538355B2 (en) 2008-12-29 2017-01-03 Google Technology Holdings LLC Method of targeted discovery of devices in a network
US8504836B2 (en) * 2008-12-29 2013-08-06 Motorola Mobility Llc Secure and efficient domain key distribution for device registration
US9148423B2 (en) 2008-12-29 2015-09-29 Google Technology Holdings LLC Personal identification number (PIN) generation between two devices in a network
CN101499908B (zh) * 2009-03-20 2011-06-22 四川长虹电器股份有限公司 一种身份认证及共享密钥产生方法
US8904172B2 (en) 2009-06-17 2014-12-02 Motorola Mobility Llc Communicating a device descriptor between two devices when registering onto a network
JP5449214B2 (ja) * 2011-01-19 2014-03-19 日本電信電話株式会社 情報共有方法、情報共有システム、情報共有装置、及びプログラム
JP5238045B2 (ja) * 2011-02-02 2013-07-17 トムソン ライセンシング セキュア認証チャネル
CA2780879C (en) * 2011-06-21 2019-02-12 Research In Motion Limited Provisioning a shared secret to a portable electronic device and to a service entity
US8745376B2 (en) 2011-10-14 2014-06-03 Certicom Corp. Verifying implicit certificates and digital signatures
US20140215211A1 (en) * 2013-01-25 2014-07-31 Dw Associates, Llc Split data exchange protocol
US10397206B2 (en) * 2016-01-26 2019-08-27 Red Hat, Inc. Symmetric encryption key generation/distribution
MX2018010054A (es) 2016-02-23 2019-01-21 Nchain Holdings Ltd Metodo y sistema de tokenizacion para la implementacion de cambios de moneda en una cadena de bloques.
EA201891830A1 (ru) 2016-02-23 2019-02-28 Нчейн Холдингс Лимитед Система и способ управления действиями, связанными с активами, посредством блокчейна
GB2562622A (en) * 2016-02-23 2018-11-21 Nchain Holdings Ltd Cryptographic method and system for secure extraction of data from a blockchain
US11410145B2 (en) 2016-02-23 2022-08-09 nChain Holdings Limited Blockchain-implemented method for control and distribution of digital content
GB2560274C (en) 2016-02-23 2022-06-15 Nchain Holdings Ltd Personal device security using elliptic curve cryptography for secret sharing
EP3420668B1 (en) 2016-02-23 2023-08-23 nChain Licensing AG Method and system for efficient transfer of cryptocurrency associated with a payroll on a blockchain that leads to an automated payroll method and system based on smart contracts
WO2017145003A1 (en) 2016-02-23 2017-08-31 nChain Holdings Limited Blockchain-based exchange with tokenisation
CN115549887A (zh) 2016-02-23 2022-12-30 恩链控股有限公司 用于信息的安全交换的公共秘密的确定和层级确定性密钥
KR102871871B1 (ko) 2016-02-23 2025-10-15 엔체인 라이센싱 아게 분산형 해시 테이블 및 블록체인을 사용하여 컴퓨터 소프트웨어를 보호하기 위한 방법 및 시스템
US12107952B2 (en) 2016-02-23 2024-10-01 Nchain Licensing Ag Methods and systems for efficient transfer of entities on a peer-to-peer distributed ledger using the blockchain
CA3015569C (en) 2016-02-23 2024-04-02 nChain Holdings Limited Registry and automated management method for blockchain-enforced smart contracts
JP7249148B2 (ja) 2016-02-23 2023-03-30 エヌチェーン ライセンシング アーゲー ブロックチェーンベースユニバーサルトークン化システム
MX2018009355A (es) 2016-02-23 2018-12-19 Nchain Holdings Ltd Almacenamiento y transferencia seguros resistentes a perdida de multiples partes de claves criptograficas para sistemas a base de cadena de bloques en conjunto con un sistema de administracion de billetera.
US11308486B2 (en) 2016-02-23 2022-04-19 nChain Holdings Limited Method and system for the secure transfer of entities on a blockchain
JP6833861B2 (ja) 2016-02-23 2021-02-24 エヌチェーン ホールディングス リミテッドNchain Holdings Limited ブロックチェーンシステム内におけるフィードバックを統合したエージェントベースチューリング完全なトランザクション
EP3748900A1 (en) 2017-03-01 2020-12-09 Apple Inc. System access using a mobile device
JP6801921B2 (ja) * 2017-05-25 2020-12-16 Necネットワーク・センサ株式会社 暗号通信方法、情報処理装置及びプログラム
WO2019220270A1 (en) 2018-05-14 2019-11-21 nChain Holdings Limited Computer-implemented systems and methods for using a blockchain to perform an atomic swap
GB201815396D0 (en) 2018-09-21 2018-11-07 Nchain Holdings Ltd Computer implemented system and method
GB201909960D0 (en) 2019-07-11 2019-08-28 Nchain Holdings Ltd Computer-implemented system and method
CN113242122B (zh) * 2021-04-15 2022-11-25 哈尔滨工业大学 一种基于dh和rsa加密算法的加密方法

Family Cites Families (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4200770A (en) * 1977-09-06 1980-04-29 Stanford University Cryptographic apparatus and method
US4405829A (en) * 1977-12-14 1983-09-20 Massachusetts Institute Of Technology Cryptographic communications system and method
DE3915262A1 (de) * 1988-05-18 1989-11-30 Asea Brown Boveri Verfahren zur erzeugung von authentifizierten geheimschluesseln
US4956863A (en) * 1989-04-17 1990-09-11 Trw Inc. Cryptographic method and apparatus for public key exchange with authentication
US5299263A (en) * 1993-03-04 1994-03-29 Bell Communications Research, Inc. Two-way public key authentication and key agreement for low-cost terminals
DE69327238T2 (de) * 1993-08-17 2000-09-07 Entrust Technologies ( Switzerland) Ltd. Liab. Co., Glattzentrum Verfahren zur digitalen Unterschrift und Verfahren zur Schlüsselübereinkunft

Also Published As

Publication number Publication date
JP4384728B2 (ja) 2009-12-16
US5761305A (en) 1998-06-02
EP0873617B1 (en) 2007-01-03
DE69636815T2 (de) 2007-11-08
DE69636815D1 (de) 2007-02-15
WO1998018234A1 (en) 1998-04-30
AU1405797A (en) 1998-05-15
CA2237688A1 (en) 1998-04-30
EP0873617A1 (en) 1998-10-28
JP2000502553A (ja) 2000-02-29

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