JP4842276B2 - 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 - Google Patents

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 Download PDF

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JP4842276B2
JP4842276B2 JP2007540466A JP2007540466A JP4842276B2 JP 4842276 B2 JP4842276 B2 JP 4842276B2 JP 2007540466 A JP2007540466 A JP 2007540466A JP 2007540466 A JP2007540466 A JP 2007540466A JP 4842276 B2 JP4842276 B2 JP 4842276B2
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key operation
message
signature
cryptographic
self
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JP2008519994A (ja
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ダニエル アール．エル． ブラウン，
ロバート ピー． ギャラント，
スコット エー． ヴァンストーン，
マリヌス ストルーク，
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サーティコム コーポレーション
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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)
  • Remote Monitoring And Control Of Power-Distribution Networks (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
  • Devices For Executing Special Programs (AREA)
  • Facsimile Transmission Control (AREA)
JP2007540466A 2004-11-11 2005-11-14 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 Expired - Lifetime JP4842276B2 (ja)

Applications Claiming Priority (5)

Application Number Priority Date Filing Date Title
IB2004003700 2004-11-11
IBPCT/IB2004/003700 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

Related Child Applications (1)

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JP2011179245A Division JP5190142B2 (ja) 2004-11-11 2011-08-18 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

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JP2008519994A JP2008519994A (ja) 2008-06-12
JP2008519994A5 JP2008519994A5 (https=) 2011-10-06
JP4842276B2 true JP4842276B2 (ja) 2011-12-21

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JP2007540466A Expired - Lifetime JP4842276B2 (ja) 2004-11-11 2005-11-14 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
JP2011179245A Expired - Lifetime JP5190142B2 (ja) 2004-11-11 2011-08-18 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

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JP2011179245A Expired - Lifetime JP5190142B2 (ja) 2004-11-11 2011-08-18 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

Country Status (7)

Country Link
US (3) US7844051B2 (https=)
EP (1) EP1815636B1 (https=)
JP (2) JP4842276B2 (https=)
CN (1) CN101099329B (https=)
AT (1) ATE546909T1 (https=)
CA (1) CA2587474C (https=)
WO (1) WO2006050605A1 (https=)

Families Citing this family (27)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8862866B2 (en) 2003-07-07 2014-10-14 Certicom Corp. Method and apparatus for providing an adaptable security level in an electronic communication
GB2406484B (en) 2003-08-19 2007-01-31 Certicom Corp Method and apparatus for synchronizing an adaptable security level in an electronic communication
FR2877788B1 (fr) * 2004-11-05 2007-01-05 Gemplus Sa Procede de generation de signature avec preuve de securite "tight", procede de verification et schema de signature associes bases sur le modele de diffie-hellman
US7844051B2 (en) * 2004-11-11 2010-11-30 Certicom Corp. Trapdoor one-way functions on elliptic curves and their application to shorter signatures and asymmetric encryption
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
CN101496338B (zh) * 2006-04-13 2013-08-21 塞尔蒂卡姆公司 在电子通信中提供可适用安全等级的方法和装置
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
US20090049299A1 (en) * 2007-04-23 2009-02-19 Bally Gaming, Inc. Data Integrity and Non-Repudiation System
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
CN104126284B (zh) 2011-12-28 2018-06-08 塞尔蒂卡姆公司 生成数字签名
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

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2002533787A (ja) * 1998-12-24 2002-10-08 サーティコム コーポレーション 楕円曲線上での暗号操作の速度を高める方法
JP2002535878A (ja) * 1999-01-14 2002-10-22 ジェムプリュス 公開鍵および秘密鍵による暗号化方法
JP2005084657A (ja) * 2003-09-11 2005-03-31 Nippon Telegr & Teleph Corp <Ntt> 一方向性関数演算方法及び装置及びプログラム及び部分群上元判定方法及び装置及びプログラム
JP2005141200A (ja) * 2003-11-03 2005-06-02 Microsoft Corp 暗号システムの設計におけるアイソジャニの使用

Family Cites Families (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0503119B1 (en) * 1991-03-14 1995-09-20 Omnisec Ag Public key cryptographic system using elliptic curves over rings
US5272755A (en) * 1991-06-28 1993-12-21 Matsushita Electric Industrial Co., Ltd. Public key cryptosystem with an elliptic curve
US5159632A (en) * 1991-09-17 1992-10-27 Next Computer, Inc. Method and apparatus for public key exchange in a cryptographic system
US5577124A (en) * 1995-03-09 1996-11-19 Arithmetica, Inc. Multi-purpose high speed cryptographically secure sequence generator based on zeta-one-way functions
DE69840959D1 (de) * 1997-12-17 2009-08-20 Nippon Telegraph & Telephone Verschlüsselungs- und Entschlüsselungsvorrichtungen für Kryptosysteme mit öffentlichem Schlüssel und Aufzeichnungsmedium mit darauf gespeicherten zugehörigen Verarbeitungsprogrammen.
US6507907B1 (en) * 1999-02-26 2003-01-14 Intel Corporation Protecting information in a system
US6959085B1 (en) * 1999-05-03 2005-10-25 Ntru Cryptosystems, Inc. Secure user identification based on ring homomorphisms
US20020199001A1 (en) * 2001-02-25 2002-12-26 Storymail, Inc. System and method for conducting a secure response communication session
US20020194501A1 (en) * 2001-02-25 2002-12-19 Storymail, Inc. System and method for conducting a secure interactive communication session
ATE465571T1 (de) * 2001-08-13 2010-05-15 Univ Leland Stanford Junior Systeme und verfahren zur verschlüsselung auf identitätsbasis und damit zusammenhängende kryptografische techniken
US7587605B1 (en) * 2004-03-19 2009-09-08 Microsoft Corporation Cryptographic pairing-based short signature generation and verification
US7844051B2 (en) * 2004-11-11 2010-11-30 Certicom Corp. Trapdoor one-way functions on elliptic curves and their application to shorter signatures and asymmetric encryption

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2002533787A (ja) * 1998-12-24 2002-10-08 サーティコム コーポレーション 楕円曲線上での暗号操作の速度を高める方法
JP2002535878A (ja) * 1999-01-14 2002-10-22 ジェムプリュス 公開鍵および秘密鍵による暗号化方法
JP2005084657A (ja) * 2003-09-11 2005-03-31 Nippon Telegr & Teleph Corp <Ntt> 一方向性関数演算方法及び装置及びプログラム及び部分群上元判定方法及び装置及びプログラム
JP2005141200A (ja) * 2003-11-03 2005-06-02 Microsoft Corp 暗号システムの設計におけるアイソジャニの使用

Also Published As

Publication number Publication date
EP1815636A4 (en) 2011-03-16
JP5190142B2 (ja) 2013-04-24
WO2006050605A1 (en) 2006-05-18
JP2011232782A (ja) 2011-11-17
ATE546909T1 (de) 2012-03-15
CA2587474A1 (en) 2006-05-18
JP2008519994A (ja) 2008-06-12
US8782400B2 (en) 2014-07-15
EP1815636A1 (en) 2007-08-08
CN101099329A (zh) 2008-01-02
US7844051B2 (en) 2010-11-30
US20110060909A1 (en) 2011-03-10
US8213605B2 (en) 2012-07-03
EP1815636B1 (en) 2012-02-22
CA2587474C (en) 2016-08-09
US20060140400A1 (en) 2006-06-29
CN101099329B (zh) 2012-12-26
US20120314855A1 (en) 2012-12-13

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