JP4874629B2 - カースルズ−テイトペアリングに基づくデータの暗号処理 - Google Patents
カースルズ−テイトペアリングに基づくデータの暗号処理 Download PDFInfo
- Publication number
- JP4874629B2 JP4874629B2 JP2005324933A JP2005324933A JP4874629B2 JP 4874629 B2 JP4874629 B2 JP 4874629B2 JP 2005324933 A JP2005324933 A JP 2005324933A JP 2005324933 A JP2005324933 A JP 2005324933A JP 4874629 B2 JP4874629 B2 JP 4874629B2
- Authority
- JP
- Japan
- Prior art keywords
- tate
- castles
- pairing
- group
- shafarevich
- Prior art date
- Legal status (The legal status 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 status listed.)
- Expired - Fee Related
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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
Landscapes
- 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)
- Mobile Radio Communication Systems (AREA)
- Complex Calculations (AREA)
- Air Bags (AREA)
- Storage Device Security (AREA)
- Two-Way Televisions, Distribution Of Moving Picture Or The Like (AREA)
- Signal Processing For Digital Recording And Reproducing (AREA)
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US11/011,289 US7639799B2 (en) | 2004-12-14 | 2004-12-14 | Cryptographically processing data based on a Cassels-Tate pairing |
| US11/011,289 | 2004-12-14 |
Publications (3)
| Publication Number | Publication Date |
|---|---|
| JP2006171711A JP2006171711A (ja) | 2006-06-29 |
| JP2006171711A5 JP2006171711A5 (https=) | 2008-12-25 |
| JP4874629B2 true JP4874629B2 (ja) | 2012-02-15 |
Family
ID=35619651
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP2005324933A Expired - Fee Related JP4874629B2 (ja) | 2004-12-14 | 2005-11-09 | カースルズ−テイトペアリングに基づくデータの暗号処理 |
Country Status (5)
| Country | Link |
|---|---|
| US (2) | US7639799B2 (https=) |
| EP (1) | EP1672482B1 (https=) |
| JP (1) | JP4874629B2 (https=) |
| AT (1) | ATE443886T1 (https=) |
| DE (1) | DE602005016769D1 (https=) |
Families Citing this family (30)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US7646872B2 (en) | 2004-04-02 | 2010-01-12 | Research In Motion Limited | Systems and methods to securely generate shared keys |
| US7860247B2 (en) * | 2004-11-12 | 2010-12-28 | Dublin City University | Identity based encryption |
| DE602005010039D1 (de) * | 2004-12-23 | 2008-11-13 | Hewlett Packard Development Co | Verbesserungen in der Anwendung von bilinearen Abbildungen bei kryptographischen Anwendungen |
| JP5147412B2 (ja) | 2005-01-21 | 2013-02-20 | サーティコム コーポレーション | 楕円曲線乱数生成 |
| EP2122900A4 (en) * | 2007-01-22 | 2014-07-23 | Spyrus Inc | PORTABLE DATA ENCRYPTION DEVICE WITH CONFIGURABLE SAFETY FUNCTIONS AND METHOD FOR FILING ENCRYPTION |
| WO2008146547A1 (ja) | 2007-05-25 | 2008-12-04 | Nec Corporation | 鍵交換装置及び鍵交換方法 |
| US8068606B2 (en) * | 2007-08-29 | 2011-11-29 | Red Hat, Inc. | Embedding a secret in a bit string for safeguarding the secret |
| US8243933B2 (en) * | 2007-08-29 | 2012-08-14 | Red Hat, Inc. | Method for sharing secret information among cooperating parties |
| JP5365072B2 (ja) * | 2007-12-11 | 2013-12-11 | ソニー株式会社 | 鍵生成装置、暗号化装置、受信装置、鍵生成方法、暗号化方法、鍵処理方法およびプログラム |
| US8615084B2 (en) * | 2008-05-29 | 2013-12-24 | Red Hat, Inc. | Extending a secret bit string to safeguard the secret |
| US8250367B2 (en) * | 2008-09-30 | 2012-08-21 | Microsoft Corporation | Cryptographic applications of efficiently evaluating large degree isogenies |
| US7783803B2 (en) * | 2008-11-03 | 2010-08-24 | Microsoft Corporation | Pairing service technologies |
| US8190892B2 (en) * | 2008-12-29 | 2012-05-29 | King Fahd University Of Petroleum & Minerals | Message authentication code with blind factorization and randomization |
| CN102045164B (zh) * | 2009-10-20 | 2013-06-05 | 广州信睿网络科技有限公司 | 一种基于身份的无密钥泄露的变色龙数字签名方法 |
| US8462939B2 (en) | 2010-12-07 | 2013-06-11 | King Fahd University Of Petroleum And Minerals | RNS-based cryptographic system and method |
| US8769301B2 (en) * | 2011-07-28 | 2014-07-01 | Qualcomm Incorporated | Product authentication based upon a hyperelliptic curve equation and a curve pairing function |
| CN102694654B (zh) * | 2012-05-25 | 2015-03-25 | 孙华 | 基于身份的门限环签密方法 |
| WO2014009782A1 (en) * | 2012-06-18 | 2014-01-16 | Ologn Technologies Ag | Secure password management systems, methods and apparatus |
| US10148285B1 (en) | 2012-07-25 | 2018-12-04 | Erich Schmitt | Abstraction and de-abstraction of a digital data stream |
| CN103117860B (zh) * | 2013-01-21 | 2015-08-05 | 孙华 | 无证书盲环签名方法 |
| US10795858B1 (en) | 2014-02-18 | 2020-10-06 | Erich Schmitt | Universal abstraction and de-abstraction of a digital data stream |
| 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 |
| US10205713B2 (en) * | 2017-04-05 | 2019-02-12 | Fujitsu Limited | Private and mutually authenticated key exchange |
| 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 |
| CN109600216B (zh) * | 2018-12-11 | 2021-08-27 | 安徽大学 | 一种强抗碰撞变色龙哈希函数的构造方法 |
| US11764940B2 (en) | 2019-01-10 | 2023-09-19 | Duality Technologies, Inc. | Secure search of secret data in a semi-trusted environment using homomorphic encryption |
| CN112291774B (zh) * | 2020-12-31 | 2021-03-16 | 飞天诚信科技股份有限公司 | 一种与认证器进行通信的方法及系统 |
| CN114091070B (zh) * | 2021-11-24 | 2024-08-23 | 中国银行股份有限公司 | 基于希尔伯特变换的密文生成方法、服务器、介质及装置 |
| CN117201015B (zh) * | 2023-09-27 | 2024-05-17 | 西安邮电大学 | 基于无证书的多信源网络编码群签密方法 |
Family Cites Families (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US7069287B2 (en) | 2000-09-19 | 2006-06-27 | Worcester Polytechnic Institute | Method for efficient computation of odd characteristic extension fields |
| ATE465571T1 (de) * | 2001-08-13 | 2010-05-15 | Univ Leland Stanford Junior | Systeme und verfahren zur verschlüsselung auf identitätsbasis und damit zusammenhängende kryptografische techniken |
| US7353395B2 (en) | 2002-03-21 | 2008-04-01 | Ntt Docomo Inc. | Authenticated ID-based cryptosystem with no key escrow |
| CN1633776A (zh) * | 2002-04-15 | 2005-06-29 | 美国多科摩通讯研究所股份有限公司 | 利用双线性映射的签名方案 |
-
2004
- 2004-12-14 US US11/011,289 patent/US7639799B2/en active Active
-
2005
- 2005-10-28 US US11/260,950 patent/US7707426B2/en not_active Expired - Fee Related
- 2005-11-09 JP JP2005324933A patent/JP4874629B2/ja not_active Expired - Fee Related
- 2005-11-14 EP EP05110688A patent/EP1672482B1/en not_active Expired - Lifetime
- 2005-11-14 AT AT05110688T patent/ATE443886T1/de not_active IP Right Cessation
- 2005-11-14 DE DE602005016769T patent/DE602005016769D1/de not_active Expired - Lifetime
Also Published As
| Publication number | Publication date |
|---|---|
| US20060129800A1 (en) | 2006-06-15 |
| US7639799B2 (en) | 2009-12-29 |
| EP1672482A1 (en) | 2006-06-21 |
| EP1672482B1 (en) | 2009-09-23 |
| ATE443886T1 (de) | 2009-10-15 |
| US7707426B2 (en) | 2010-04-27 |
| US20070076865A1 (en) | 2007-04-05 |
| DE602005016769D1 (de) | 2009-11-05 |
| JP2006171711A (ja) | 2006-06-29 |
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