JP2006221161A5 - - Google Patents

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Publication number
JP2006221161A5
JP2006221161A5 JP2006020935A JP2006020935A JP2006221161A5 JP 2006221161 A5 JP2006221161 A5 JP 2006221161A5 JP 2006020935 A JP2006020935 A JP 2006020935A JP 2006020935 A JP2006020935 A JP 2006020935A JP 2006221161 A5 JP2006221161 A5 JP 2006221161A5
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JP
Japan
Prior art keywords
abelian
manifold
generating
varieties
cartier pairing
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JP2006020935A
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English (en)
Japanese (ja)
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JP2006221161A (ja
JP5419056B2 (ja
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Priority claimed from US11/053,339 external-priority patent/US7594261B2/en
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Publication of JP2006221161A publication Critical patent/JP2006221161A/ja
Publication of JP2006221161A5 publication Critical patent/JP2006221161A5/ja
Application granted granted Critical
Publication of JP5419056B2 publication Critical patent/JP5419056B2/ja
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

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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 true JP2006221161A5 (enExample) 2009-03-19
JP5419056B2 JP5419056B2 (ja) 2014-02-19

Family

ID=36779955

Family Applications (1)

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

Country Status (5)

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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EP1675299B1 (en) * 2004-12-23 2018-08-01 Hewlett-Packard Development Company, L.P. Authentication method using bilinear mappings
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 (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
US10812264B1 (en) * 2020-04-30 2020-10-20 ISARA Corporation Traversing a zigzag path tree topology 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
US10812265B1 (en) * 2020-04-30 2020-10-20 ISARA Corporation Using cryptographic co-processors 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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