JP5419056B2 - Ｃａｒｔｉｅｒ対形成の暗号化適用 - Google Patents

Ｃａｒｔｉｅｒ対形成の暗号化適用 Download PDF

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JP5419056B2
JP5419056B2 JP2006020935A JP2006020935A JP5419056B2 JP 5419056 B2 JP5419056 B2 JP 5419056B2 JP 2006020935 A JP2006020935 A JP 2006020935A JP 2006020935 A JP2006020935 A JP 2006020935A JP 5419056 B2 JP5419056 B2 JP 5419056B2
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abelian
computer
signature
manifold
cartier
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JP2006221161A (ja
JP2006221161A5 (enExample
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エックス．チャールズ デニス
イー．ローター クリスティン
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Microsoft Corp
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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
    • H04L9/3073—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 involving pairings, e.g. identity based encryption [IBE], bilinear mappings or bilinear pairings, e.g. Weil or Tate pairing
    • 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
    • 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

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  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Signal Processing (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Pure & Applied Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computing Systems (AREA)
  • Algebra (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Physics (AREA)
  • Storage Device Security (AREA)
  • Complex Calculations (AREA)
  • Air Bags (AREA)
  • Medicines Containing Plant Substances (AREA)
  • Orthopedics, Nursing, And Contraception (AREA)
  • Mobile Radio Communication Systems (AREA)
JP2006020935A 2005-02-08 2006-01-30 Ｃａｒｔｉｅｒ対形成の暗号化適用 Expired - Fee Related JP5419056B2 (ja)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US11/053,339 US7594261B2 (en) 2005-02-08 2005-02-08 Cryptographic applications of the Cartier pairing
US11/053,339 2005-02-08

Publications (3)

Publication Number Publication Date
JP2006221161A JP2006221161A (ja) 2006-08-24
JP2006221161A5 JP2006221161A5 (enExample) 2009-03-19
JP5419056B2 true JP5419056B2 (ja) 2014-02-19

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JP2006020935A Expired - Fee Related JP5419056B2 (ja) 2005-02-08 2006-01-30 Ｃａｒｔｉｅｒ対形成の暗号化適用

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Country Link
US (1) US7594261B2 (enExample)
EP (1) EP1710952B1 (enExample)
JP (1) JP5419056B2 (enExample)
AT (1) ATE394845T1 (enExample)
DE (1) DE602006001070D1 (enExample)

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DE602005010039D1 (de) * 2004-12-23 2008-11-13 Hewlett Packard Development Co Verbesserungen in der Anwendung von bilinearen Abbildungen bei kryptographischen Anwendungen
US7594261B2 (en) * 2005-02-08 2009-09-22 Microsoft Corporation Cryptographic applications of the Cartier pairing
US7702098B2 (en) 2005-03-15 2010-04-20 Microsoft Corporation Elliptic curve point octupling for weighted projective coordinates
CN100424700C (zh) * 2006-03-06 2008-10-08 阿里巴巴集团控股有限公司 在网页中实现表格局部滚动显示的方法及系统
US8364965B2 (en) * 2006-03-15 2013-01-29 Apple Inc. Optimized integrity verification procedures
US8401179B2 (en) * 2008-01-18 2013-03-19 Mitsubishi Electric Corporation Encryption parameter setting apparatus, key generation apparatus, cryptographic system, program, encryption parameter setting method, and key generation method
EP2151947A1 (en) * 2008-08-05 2010-02-10 Irdeto Access B.V. Signcryption scheme based on elliptic curve cryptography
US8250367B2 (en) * 2008-09-30 2012-08-21 Microsoft Corporation Cryptographic applications of efficiently evaluating large degree isogenies
US10148285B1 (en) 2012-07-25 2018-12-04 Erich Schmitt Abstraction and de-abstraction of a digital data stream
US10795858B1 (en) 2014-02-18 2020-10-06 Erich Schmitt Universal abstraction and de-abstraction of a digital data stream
CN104079412B (zh) * 2014-07-08 2018-01-02 中国能源建设集团甘肃省电力设计院有限公司 基于智能电网身份安全的无可信pkg的门限代理签名方法
US10171452B2 (en) * 2016-03-31 2019-01-01 International Business Machines Corporation Server authentication using multiple authentication chains
SG10201606061PA (en) * 2016-07-22 2018-02-27 Huawei Int Pte Ltd A method for unified network and service authentication based on id-based cryptography
EP3367608A1 (en) * 2017-02-28 2018-08-29 Koninklijke Philips N.V. Elliptic curve isogeny based key agreement protocol
EP3379766B1 (en) * 2017-03-20 2019-06-26 Huawei Technologies Co., Ltd. A wireless communication device for communication in a wireless communication network
US20190109877A1 (en) 2017-10-11 2019-04-11 Microsoft Technology Licensing, Llc Secure application metering
CN108449174B (zh) * 2018-02-09 2021-07-30 孔泽一 云计算应用中智能终端的可撤销加密方法及装置
US11764940B2 (en) 2019-01-10 2023-09-19 Duality Technologies, Inc. Secure search of secret data in a semi-trusted environment using homomorphic encryption
US10812265B1 (en) * 2020-04-30 2020-10-20 ISARA Corporation Using cryptographic co-processors in a supersingular isogeny-based cryptosystem
US10805081B1 (en) 2020-04-30 2020-10-13 ISARA Corporation Processing batches of point evaluations in a supersingular isogeny-based cryptosystem
US10812264B1 (en) * 2020-04-30 2020-10-20 ISARA Corporation Traversing a zigzag path tree topology in a supersingular isogeny-based cryptosystem
US11943353B2 (en) * 2020-12-17 2024-03-26 Pqsecure Technologies, Llc Randomization methods in isogeny-based cryptosystems
CN112800476B (zh) * 2021-03-25 2024-07-16 全球能源互联网研究院有限公司 一种数据脱敏方法、装置及电子设备
KR102568418B1 (ko) * 2021-08-26 2023-08-18 하이파이브랩 주식회사 다중 서명을 지원하는 전자 인증 시스템 및 방법
WO2024243803A1 (zh) * 2023-05-30 2024-12-05 宁德时代(上海)智能科技有限公司 应用程序的认证方法及认证设备

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US3384515A (en) * 1965-06-21 1968-05-21 Gen Motors Corp Process of preparing improved cast iron articles
US3472651A (en) * 1966-09-22 1969-10-14 Johnson Products Inc Engine components of cast iron having ni,cr,and ti as alloying elements
US3370941A (en) * 1966-09-22 1968-02-27 Johnson Products Inc Tungsten-containing alloy cast iron useful for internal combustion engine parts
JPS5738651B2 (enExample) * 1974-03-18 1982-08-17
US4032334A (en) * 1976-05-10 1977-06-28 Stanadyne, Inc. Tappet metallurgy
US5442707A (en) 1992-09-28 1995-08-15 Matsushita Electric Industrial Co., Ltd. Method for generating and verifying electronic signatures and privacy communication using elliptic curves
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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
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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
US20050018850A1 (en) * 2003-06-26 2005-01-27 Micorsoft Corporation Methods and apparatuses for providing short digital signatures using curve-based cryptography
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US7594261B2 (en) * 2005-02-08 2009-09-22 Microsoft Corporation Cryptographic applications of the Cartier pairing

Also Published As

Publication number Publication date
DE602006001070D1 (de) 2008-06-19
EP1710952A3 (en) 2006-10-18
ATE394845T1 (de) 2008-05-15
EP1710952A2 (en) 2006-10-11
US20060177051A1 (en) 2006-08-10
US7594261B2 (en) 2009-09-22
JP2006221161A (ja) 2006-08-24
EP1710952B1 (en) 2008-05-07

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