CN101427500A - 椭圆曲线公钥加密确认的方法 - Google Patents
椭圆曲线公钥加密确认的方法 Download PDFInfo
- Publication number
- CN101427500A CN101427500A CNA2007800146961A CN200780014696A CN101427500A CN 101427500 A CN101427500 A CN 101427500A CN A2007800146961 A CNA2007800146961 A CN A2007800146961A CN 200780014696 A CN200780014696 A CN 200780014696A CN 101427500 A CN101427500 A CN 101427500A
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- China
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
- H04K1/00—Secret communication
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- 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
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- 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
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- 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
- H04L9/3271—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 using challenge-response
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- 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
- H04L2209/80—Wireless
- H04L2209/805—Lightweight hardware, e.g. radio-frequency identification [RFID] or sensor
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- Engineering & Computer Science (AREA)
- Signal Processing (AREA)
- Computer Networks & Wireless Communication (AREA)
- Computer Security & Cryptography (AREA)
- Theoretical Computer Science (AREA)
- Mathematical Physics (AREA)
- Physics & Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Optimization (AREA)
- Computing Systems (AREA)
- Mathematical Analysis (AREA)
- General Physics & Mathematics (AREA)
- Algebra (AREA)
- Mobile Radio Communication Systems (AREA)
- Computer And Data Communications (AREA)
Abstract
Description
Claims (16)
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US11/379,815 | 2006-04-24 | ||
US11/379,815 US8311214B2 (en) | 2006-04-24 | 2006-04-24 | Method for elliptic curve public key cryptographic validation |
PCT/US2007/065588 WO2007127576A2 (en) | 2006-04-24 | 2007-03-30 | Method for elliptic curve public key cryptographic validation |
Publications (2)
Publication Number | Publication Date |
---|---|
CN101427500A true CN101427500A (zh) | 2009-05-06 |
CN101427500B CN101427500B (zh) | 2013-06-05 |
Family
ID=38619505
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN2007800146961A Active CN101427500B (zh) | 2006-04-24 | 2007-03-30 | 椭圆曲线公钥加密确认的方法 |
Country Status (6)
Country | Link |
---|---|
US (1) | US8311214B2 (zh) |
EP (1) | EP2014000B1 (zh) |
KR (1) | KR101492644B1 (zh) |
CN (1) | CN101427500B (zh) |
MX (1) | MX2008013557A (zh) |
WO (1) | WO2007127576A2 (zh) |
Families Citing this family (25)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US7694318B2 (en) | 2003-03-07 | 2010-04-06 | Technology, Patents & Licensing, Inc. | Video detection and insertion |
US7738704B2 (en) * | 2003-03-07 | 2010-06-15 | Technology, Patents And Licensing, Inc. | Detecting known video entities utilizing fingerprints |
US7809154B2 (en) | 2003-03-07 | 2010-10-05 | Technology, Patents & Licensing, Inc. | Video entity recognition in compressed digital video streams |
US7646872B2 (en) * | 2004-04-02 | 2010-01-12 | Research In Motion Limited | Systems and methods to securely generate shared keys |
CA2594670C (en) | 2005-01-21 | 2014-12-23 | Certicom Corp. | Elliptic curve random number generation |
US20060195860A1 (en) * | 2005-02-25 | 2006-08-31 | Eldering Charles A | Acting on known video entities detected utilizing fingerprinting |
US20060195859A1 (en) * | 2005-02-25 | 2006-08-31 | Richard Konig | Detecting known video entities taking into account regions of disinterest |
US7690011B2 (en) | 2005-05-02 | 2010-03-30 | Technology, Patents & Licensing, Inc. | Video stream modification to defeat detection |
US7864951B2 (en) * | 2006-07-10 | 2011-01-04 | King Fahd University Of Petroleum And Minerals | Scalar multiplication method with inherent countermeasures |
DE102007001070B3 (de) * | 2006-09-29 | 2008-04-30 | Siemens Ag | Verfahren zum verschlüsselten Datenausgleich eines Systems mit mindestens einem Datenträger und einem Lesegerät |
US8068606B2 (en) * | 2007-08-29 | 2011-11-29 | Red Hat, Inc. | Embedding a secret in a bit string for safeguarding the secret |
US8243933B2 (en) * | 2007-08-29 | 2012-08-14 | Red Hat, Inc. | Method for sharing secret information among cooperating parties |
KR100965813B1 (ko) | 2007-12-28 | 2010-06-24 | 경원대학교 산학협력단 | 유비쿼터스 환경에서 안전한 메시지 전송을 위한타원곡선기반의 rfid 암호 방법 |
US8117447B2 (en) * | 2008-01-10 | 2012-02-14 | Industrial Technology Research Institute | Authentication method employing elliptic curve cryptography |
EP2124382A1 (de) * | 2008-05-20 | 2009-11-25 | Siemens Aktiengesellschaft | Verfahren zum verschlüsselten Datenaustausch und Kommunikationssystem |
US8615084B2 (en) * | 2008-05-29 | 2013-12-24 | Red Hat, Inc. | Extending a secret bit string to safeguard the secret |
US9106635B2 (en) * | 2012-03-01 | 2015-08-11 | Certicom Corp. | System and method for connecting client devices to a network |
US9215075B1 (en) | 2013-03-15 | 2015-12-15 | Poltorak Technologies Llc | System and method for secure relayed communications from an implantable medical device |
US9391781B2 (en) * | 2013-06-04 | 2016-07-12 | Altera Corporation | Systems and methods for intermediate message authentication in a switched-path network |
WO2018102382A1 (en) * | 2016-11-29 | 2018-06-07 | ZeroDB, Inc. | Method and system for switching public keys in ciphertexts |
US10341098B2 (en) * | 2017-01-24 | 2019-07-02 | Nxp B.V. | Method of generating cryptographic key pairs |
US10749692B2 (en) | 2017-05-05 | 2020-08-18 | Honeywell International Inc. | Automated certificate enrollment for devices in industrial control systems or other systems |
US11146397B2 (en) * | 2017-10-31 | 2021-10-12 | Micro Focus Llc | Encoding abelian variety-based ciphertext with metadata |
CN113364585B (zh) * | 2021-06-04 | 2022-09-13 | 晶澄微电子(宁波)有限公司 | 减少模逆计算的ecc认证方法及系统 |
WO2024101511A1 (ko) * | 2022-11-09 | 2024-05-16 | 주식회사 시옷 | V2x 통신 환경에서 메시지의 서명 검증 방법 및 이를 수행하는 컴퓨팅 장치 |
Family Cites Families (14)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5271061A (en) | 1991-09-17 | 1993-12-14 | Next Computer, Inc. | Method and apparatus for public key exchange in a cryptographic system |
US5159632A (en) | 1991-09-17 | 1992-10-27 | Next Computer, Inc. | Method and apparatus for public key exchange in a cryptographic system |
WO1996004602A1 (en) | 1994-07-29 | 1996-02-15 | Certicom Corp. | Elliptic curve encryption systems |
CN1280726A (zh) * | 1997-12-05 | 2001-01-17 | 保密信息技术公司 | 优化椭圆曲线密码计算的变换方法 |
CN1108041C (zh) * | 1999-12-01 | 2003-05-07 | 陈永川 | 运用椭圆曲线加密算法的数字签名方法 |
EP1425874B1 (en) * | 2001-08-13 | 2010-04-21 | Board Of Trustees Of The Leland Stanford Junior University | Systems and methods for identity-based encryption and related cryptographic techniques |
US7139396B2 (en) * | 2002-06-27 | 2006-11-21 | Microsoft Corporation | Koblitz exponentiation with bucketing |
GB2410658B (en) | 2002-10-14 | 2006-03-01 | Toshiba Res Europ Ltd | Methods and systems for flexible delegation |
ATE352830T1 (de) * | 2002-10-26 | 2007-02-15 | Additional Director Ipr Defenc | Verfahren zur elliptische-kurven-verschlüsselung |
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 |
US7298839B2 (en) * | 2003-07-25 | 2007-11-20 | Microsoft Corporation | Squared Weil and Tate pairing techniques for use with elliptic curves |
GB2404486A (en) | 2003-07-31 | 2005-02-02 | Sony Uk Ltd | Access control for digital storage medium content |
JP4284320B2 (ja) * | 2003-08-06 | 2009-06-24 | 富士通株式会社 | 楕円曲線暗号装置,楕円曲線暗号方法および楕円曲線暗号プログラム |
US7379546B2 (en) | 2004-03-03 | 2008-05-27 | King Fahd University Of Petroleum And Minerals | Method for XZ-elliptic curve cryptography |
-
2006
- 2006-04-24 US US11/379,815 patent/US8311214B2/en active Active
-
2007
- 2007-03-30 EP EP07759779.7A patent/EP2014000B1/en active Active
- 2007-03-30 KR KR20087025936A patent/KR101492644B1/ko active IP Right Grant
- 2007-03-30 CN CN2007800146961A patent/CN101427500B/zh active Active
- 2007-03-30 MX MX2008013557A patent/MX2008013557A/es active IP Right Grant
- 2007-03-30 WO PCT/US2007/065588 patent/WO2007127576A2/en active Application Filing
Also Published As
Publication number | Publication date |
---|---|
US8311214B2 (en) | 2012-11-13 |
EP2014000B1 (en) | 2018-10-03 |
WO2007127576A3 (en) | 2008-04-17 |
KR20090005041A (ko) | 2009-01-12 |
MX2008013557A (es) | 2008-11-04 |
US20070248224A1 (en) | 2007-10-25 |
EP2014000A2 (en) | 2009-01-14 |
EP2014000A4 (en) | 2015-03-18 |
CN101427500B (zh) | 2013-06-05 |
KR101492644B1 (ko) | 2015-02-12 |
WO2007127576A2 (en) | 2007-11-08 |
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Owner name: MOTOROLA MOBILE CO., LTD. Free format text: FORMER OWNER: MOTOROLA INC. Effective date: 20110114 |
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Effective date of registration: 20110114 Address after: Illinois State Applicant after: MOTOROLA MOBILITY, Inc. Address before: Illinois State Applicant before: Motorola, Inc. |
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Address after: Illinois State Patentee after: MOTOROLA MOBILITY LLC Address before: Illinois State Patentee before: MOTOROLA MOBILITY, Inc. |
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Effective date of registration: 20160602 Address after: California, USA Patentee after: Google Technology Holdings LLC Address before: Illinois State Patentee before: MOTOROLA MOBILITY LLC |