ATE394845T1 - Kryptografische anwendungen der cartier-paarung - Google Patents

Kryptografische anwendungen der cartier-paarung

Info

Publication number
ATE394845T1
ATE394845T1 AT06100232T AT06100232T ATE394845T1 AT E394845 T1 ATE394845 T1 AT E394845T1 AT 06100232 T AT06100232 T AT 06100232T AT 06100232 T AT06100232 T AT 06100232T AT E394845 T1 ATE394845 T1 AT E394845T1
Authority
AT
Austria
Prior art keywords
cartier pairing
cryptographic applications
cartier
pairing
cryptographically
Prior art date
Application number
AT06100232T
Other languages
English (en)
Inventor
Denis X Charles
Kristin E Lauter
Original Assignee
Microsoft 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 Microsoft Corp filed Critical Microsoft Corp
Application granted granted Critical
Publication of ATE394845T1 publication Critical patent/ATE394845T1/de

Links

Classifications

    • 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
AT06100232T 2005-02-08 2006-01-11 Kryptografische anwendungen der cartier-paarung ATE394845T1 (de)

Applications Claiming Priority (1)

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

Publications (1)

Publication Number Publication Date
ATE394845T1 true ATE394845T1 (de) 2008-05-15

Family

ID=36779955

Family Applications (1)

Application Number Title Priority Date Filing Date
AT06100232T ATE394845T1 (de) 2005-02-08 2006-01-11 Kryptografische anwendungen der cartier-paarung

Country Status (5)

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

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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
CN101911582B (zh) * 2008-01-18 2012-09-05 三菱电机株式会社 密码参数设定装置、密钥生成装置、密码系统、密码参数设定方法和密钥生成方法
EP2151947A1 (de) * 2008-08-05 2010-02-10 Irdeto Access B.V. Schema zur gleichzeitigen Verschlüsselung und Unterschrift auf der Basis der Verschlüsselung elliptischer Kurven
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 (de) * 2017-02-28 2018-08-29 Koninklijke Philips N.V. Schlüsselaustauschprotokoll basierend auf isogenien von elliptischen kurven
EP3379766B1 (de) * 2017-03-20 2019-06-26 Huawei Technologies Co., Ltd. Drahtloskommunikationsvorrichtung für kommunikation in einem drahtloskommunikationsnetz
US11050781B2 (en) 2017-10-11 2021-06-29 Microsoft Technology Licensing, Llc Secure application monitoring
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
US10805081B1 (en) 2020-04-30 2020-10-13 ISARA Corporation Processing batches of point evaluations in a supersingular isogeny-based cryptosystem
US10812265B1 (en) * 2020-04-30 2020-10-20 ISARA Corporation Using cryptographic co-processors 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
CN112800476A (zh) * 2021-03-25 2021-05-14 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

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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
ATE465571T1 (de) * 2001-08-13 2010-05-15 Univ Leland Stanford Junior Systeme und verfahren zur verschlüsselung auf identitätsbasis und damit zusammenhängende kryptografische techniken
GB2389678A (en) 2002-06-14 2003-12-17 Univ Sheffield Finite field processor reconfigurable for varying sizes of field.
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
US7499544B2 (en) * 2003-11-03 2009-03-03 Microsoft Corporation Use of isogenies for design of cryptosystems
US7594261B2 (en) * 2005-02-08 2009-09-22 Microsoft Corporation Cryptographic applications of the Cartier pairing

Also Published As

Publication number Publication date
EP1710952A3 (de) 2006-10-18
DE602006001070D1 (de) 2008-06-19
US7594261B2 (en) 2009-09-22
JP2006221161A (ja) 2006-08-24
JP5419056B2 (ja) 2014-02-19
EP1710952A2 (de) 2006-10-11
EP1710952B1 (de) 2008-05-07
US20060177051A1 (en) 2006-08-10

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