CN101099329B - 基于椭圆曲线的新陷门单向函数及其用于较短签名和非对称加密的应用 - Google Patents

基于椭圆曲线的新陷门单向函数及其用于较短签名和非对称加密的应用 Download PDF

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Publication number
CN101099329B
CN101099329B CN 200580046426 CN200580046426A CN101099329B CN 101099329 B CN101099329 B CN 101099329B CN 200580046426 CN200580046426 CN 200580046426 CN 200580046426 A CN200580046426 A CN 200580046426A CN 101099329 B CN101099329 B CN 101099329B
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message
data
computing
signature
private key
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CN101099329A (zh
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斯科特·A.·万斯通
罗伯特·P.·加朗特
丹尼尔·R.·L.·布朗
马里纳斯·斯特罗伊克
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Maliki Innovation Co ltd
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Certicom Corp
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L63/00—Network architectures or network communication protocols for network security
    • H04L63/08—Network architectures or network communication protocols for network security for authentication of entities
    • H04L63/0823—Network architectures or network communication protocols for network security for authentication of entities using certificates
    • 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
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F21/00—Security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
    • G06F21/60—Protecting data
    • G06F21/64—Protecting data integrity, e.g. using checksums, certificates or signatures
    • 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
    • H04L9/3252—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 using DSA or related signature schemes, e.g. elliptic based signatures, ElGamal or Schnorr schemes

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  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Theoretical Computer Science (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Algebra (AREA)
  • General Health & Medical Sciences (AREA)
  • Bioethics (AREA)
  • Health & Medical Sciences (AREA)
  • Software Systems (AREA)
  • Complex Calculations (AREA)
  • Storage Device Security (AREA)
  • Devices For Executing Special Programs (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
  • Remote Monitoring And Control Of Power-Distribution Networks (AREA)
  • Facsimile Transmission Control (AREA)
CN 200580046426 2004-11-11 2005-11-14 基于椭圆曲线的新陷门单向函数及其用于较短签名和非对称加密的应用 Expired - Lifetime CN101099329B (zh)

Applications Claiming Priority (5)

Application Number Priority Date Filing Date Title
WOPCT/IB2004/003700 2004-11-11
IB2004003700 2004-11-11
US62688404P 2004-11-12 2004-11-12
US60/626,884 2004-11-12
PCT/CA2005/001720 WO2006050605A1 (en) 2004-11-11 2005-11-14 New trapdoor one-way function on elliptic curves and their applications to shorter signatures and asymmetric encryption

Publications (2)

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CN101099329A CN101099329A (zh) 2008-01-02
CN101099329B true CN101099329B (zh) 2012-12-26

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US (3) US7844051B2 (enExample)
EP (1) EP1815636B1 (enExample)
JP (2) JP4842276B2 (enExample)
CN (1) CN101099329B (enExample)
AT (1) ATE546909T1 (enExample)
CA (1) CA2587474C (enExample)
WO (1) WO2006050605A1 (enExample)

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JP4842276B2 (ja) * 2004-11-11 2011-12-21 サーティコム コーポレーション 楕円曲線上の新しいトラップドア１方向性関数と、その、より短い署名及び非対称暗号化への応用
DE102005045733A1 (de) * 2005-09-23 2007-04-05 Nec Europe Ltd. Verfahren zum Übermitteln von Nachrichten
EP1775880A1 (en) * 2005-10-11 2007-04-18 STMicroelectronics S.r.l. Method of processing information to be confidentially transmitted
JP4911736B2 (ja) 2006-04-13 2012-04-04 サーティコム コーポレーション 電子通信において適合可能なセキュリティレベルを提供する方法と装置
US7885406B2 (en) * 2006-10-10 2011-02-08 Microsoft Corporation Computing endomorphism rings of Abelian surfaces over finite fields
US9059838B2 (en) * 2007-03-30 2015-06-16 Verizon Patent And Licensing Inc. Encryption algorithm with randomized buffer
US20090046849A1 (en) * 2007-04-23 2009-02-19 Bally Gaming, Inc. Data integrity and non-repudiation method
FR2941115B1 (fr) * 2009-01-14 2011-02-25 Sagem Securite Codage de points d'une courbe elliptique
US20100208884A1 (en) * 2009-02-19 2010-08-19 Thomson Licensing Method and device for hashing onto points of an elliptic curve
EP2222015A1 (en) * 2009-02-19 2010-08-25 Thomson Licensing Method and device for hashing onto points of an elliptic curve
US8787564B2 (en) 2011-11-30 2014-07-22 Certicom Corp. Assessing cryptographic entropy
EP2798773B1 (en) 2011-12-28 2020-08-26 BlackBerry Limited Generating digital signatures
WO2013153628A1 (ja) * 2012-04-11 2013-10-17 株式会社日立製作所 演算処理システムおよび演算結果認証方法
KR102238681B1 (ko) 2013-07-01 2021-04-12 삼성전자주식회사 데이터 인증을 위한 서명 정보 생성 및 검증 방법과 이를 위한 시스템
KR20150017844A (ko) * 2013-08-08 2015-02-23 삼성전자주식회사 페이지 구성 방법 및 이를 지원하는 전자 장치
CN103780382B (zh) * 2014-01-13 2017-01-18 华南理工大学 一种基于超球面的多变量公钥加密/解密系统及方法
CN103825743A (zh) * 2014-02-13 2014-05-28 南京邮电大学 一种具有隐私保护功能的数据安全聚合方法
CN105099693B (zh) * 2014-05-23 2018-10-19 华为技术有限公司 一种传输方法及传输装置
US10129026B2 (en) 2016-05-03 2018-11-13 Certicom Corp. Method and system for cheon resistant static diffie-hellman security
US10320565B2 (en) * 2017-02-28 2019-06-11 Certicom Corp. Generating an elliptic curve point in an elliptic curve cryptographic system
CN109714153B (zh) * 2019-02-01 2022-04-08 铜陵学院 一种高效的聚合签名方法
CN110363509B (zh) * 2019-07-19 2022-03-29 华中师范大学 一种信息保护方法及装置
KR102568418B1 (ko) * 2021-08-26 2023-08-18 하이파이브랩 주식회사 다중 서명을 지원하는 전자 인증 시스템 및 방법
CN116170147A (zh) * 2023-02-01 2023-05-26 上海金仕达软件科技股份有限公司 一种用于国密sm2的获得不存在私钥的非对称加密公钥方法

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US5146500A (en) * 1991-03-14 1992-09-08 Omnisec A.G. Public key cryptographic system using elliptic curves over rings
US5751808A (en) * 1995-03-09 1998-05-12 Anshel; Michael M. Multi-purpose high speed cryptographically secure sequence generator based on zeta-one-way functions

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Publication number Priority date Publication date Assignee Title
US5146500A (en) * 1991-03-14 1992-09-08 Omnisec A.G. Public key cryptographic system using elliptic curves over rings
US5751808A (en) * 1995-03-09 1998-05-12 Anshel; Michael M. Multi-purpose high speed cryptographically secure sequence generator based on zeta-one-way functions

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平昭.椭圆曲线公钥密码体制研究与应用.电子科技大学硕士论文.2003,24-31. *

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US7844051B2 (en) 2010-11-30
WO2006050605A1 (en) 2006-05-18
JP2008519994A (ja) 2008-06-12
JP4842276B2 (ja) 2011-12-21
EP1815636A4 (en) 2011-03-16
JP2011232782A (ja) 2011-11-17
US8213605B2 (en) 2012-07-03
US20110060909A1 (en) 2011-03-10
JP5190142B2 (ja) 2013-04-24
CA2587474C (en) 2016-08-09
CA2587474A1 (en) 2006-05-18
CN101099329A (zh) 2008-01-02
EP1815636A1 (en) 2007-08-08
EP1815636B1 (en) 2012-02-22
US20120314855A1 (en) 2012-12-13
US8782400B2 (en) 2014-07-15
US20060140400A1 (en) 2006-06-29
ATE546909T1 (de) 2012-03-15

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Effective date of registration: 20191028

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Granted publication date: 20121226