HK1085585A1 - Use of isogenies for design of cryptosystems - Google Patents
Use of isogenies for design of cryptosystemsInfo
- Publication number
- HK1085585A1 HK1085585A1 HK05108290.5A HK05108290A HK1085585A1 HK 1085585 A1 HK1085585 A1 HK 1085585A1 HK 05108290 A HK05108290 A HK 05108290A HK 1085585 A1 HK1085585 A1 HK 1085585A1
- Authority
- HK
- Hong Kong
- Prior art keywords
- isogenies
- isogeny
- techniques
- key
- encryption
- Prior art date
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
- H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
- G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
- G06F7/724—Finite field arithmetic
- G06F7/725—Finite field arithmetic over elliptic curves
-
- 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
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
-
- 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
- H04L9/3257—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 blind 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
Landscapes
- Engineering & Computer Science (AREA)
- Theoretical Computer Science (AREA)
- Computer Security & Cryptography (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Computing Systems (AREA)
- Mathematical Physics (AREA)
- Computational Mathematics (AREA)
- General Engineering & Computer Science (AREA)
- Algebra (AREA)
- Storage Device Security (AREA)
- Glass Compositions (AREA)
- Dental Preparations (AREA)
- Mobile Radio Communication Systems (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
- Financial Or Insurance-Related Operations Such As Payment And Settlement (AREA)
- Developing Agents For Electrophotography (AREA)
- Reverberation, Karaoke And Other Acoustics (AREA)
- Transition And Organic Metals Composition Catalysts For Addition Polymerization (AREA)
- Complex Calculations (AREA)
- Devices For Checking Fares Or Tickets At Control Points (AREA)
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US51714203P | 2003-11-03 | 2003-11-03 | |
US10/816,083 US7499544B2 (en) | 2003-11-03 | 2004-03-31 | Use of isogenies for design of cryptosystems |
Publications (1)
Publication Number | Publication Date |
---|---|
HK1085585A1 true HK1085585A1 (en) | 2006-08-25 |
Family
ID=34426337
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
HK05108290.5A HK1085585A1 (en) | 2003-11-03 | 2005-09-22 | Use of isogenies for design of cryptosystems |
Country Status (20)
Country | Link |
---|---|
US (1) | US7499544B2 (ru) |
EP (1) | EP1528705B1 (ru) |
JP (1) | JP4809598B2 (ru) |
KR (1) | KR101098701B1 (ru) |
CN (1) | CN100583755C (ru) |
AT (1) | ATE429098T1 (ru) |
AU (1) | AU2004218638B2 (ru) |
BR (1) | BRPI0404122A (ru) |
CA (1) | CA2483486C (ru) |
CO (1) | CO5630049A1 (ru) |
DE (1) | DE602004020565D1 (ru) |
HK (1) | HK1085585A1 (ru) |
IL (1) | IL164071A0 (ru) |
MX (1) | MXPA04010155A (ru) |
MY (1) | MY165770A (ru) |
NO (1) | NO20044028L (ru) |
NZ (1) | NZ535698A (ru) |
RU (1) | RU2376651C2 (ru) |
SG (1) | SG111191A1 (ru) |
TW (1) | TWI360990B (ru) |
Families Citing this family (60)
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WO2006050605A1 (en) | 2004-11-11 | 2006-05-18 | Certicom Corp. | New trapdoor one-way function on elliptic curves and their applications to shorter signatures and asymmetric encryption |
US7594261B2 (en) * | 2005-02-08 | 2009-09-22 | Microsoft Corporation | Cryptographic applications of the Cartier pairing |
US7680268B2 (en) | 2005-03-15 | 2010-03-16 | Microsoft Corporation | Elliptic curve point octupling using single instruction multiple data processing |
US7702098B2 (en) | 2005-03-15 | 2010-04-20 | Microsoft Corporation | Elliptic curve point octupling for weighted projective coordinates |
US7617397B2 (en) | 2005-04-29 | 2009-11-10 | Microsoft Corporation | Systems and methods for generation and validation of isogeny-based signatures |
JP4575251B2 (ja) | 2005-07-25 | 2010-11-04 | 株式会社東芝 | デジタル署名生成装置、デジタル署名検証装置、デジタル署名生成方法、デジタル署名検証方法、デジタル署名生成プログラム及びデジタル署名検証プログラム |
CN1980123B (zh) * | 2005-11-30 | 2010-07-21 | 中国科学院研究生院 | 基于ibe的pki***的实现方法及其密钥管理装置 |
US8180047B2 (en) * | 2006-01-13 | 2012-05-15 | Microsoft Corporation | Trapdoor pairings |
US8369518B2 (en) | 2007-06-18 | 2013-02-05 | Nec Corporation | Electronic data encryption and encrypted data decryption system, and its method |
KR101490687B1 (ko) * | 2007-08-20 | 2015-02-06 | 삼성전자주식회사 | 홈 네트워크에서 디바이스들이 비밀 정보를 공유하는 방법및 이를 위한 장치 |
WO2009104260A1 (ja) * | 2008-02-20 | 2009-08-27 | 三菱電機株式会社 | 検証装置 |
US8037327B2 (en) * | 2008-03-31 | 2011-10-11 | Agilent Technologies, Inc. | System and method for improving dynamic response in a power supply |
CN102308326B (zh) * | 2008-08-29 | 2014-08-13 | 国立大学法人冈山大学 | 配对运算装置、配对运算方法 |
US8250367B2 (en) * | 2008-09-30 | 2012-08-21 | Microsoft Corporation | Cryptographic applications of efficiently evaluating large degree isogenies |
US20100100947A1 (en) * | 2008-10-21 | 2010-04-22 | Apple Inc. | Scheme for authenticating without password exchange |
JP5268066B2 (ja) * | 2009-01-16 | 2013-08-21 | 日本電信電話株式会社 | 変換演算装置、その方法、プログラム及び記録媒体 |
US8510558B2 (en) | 2009-02-17 | 2013-08-13 | Alcatel Lucent | Identity based authenticated key agreement protocol |
CN101800640B (zh) * | 2009-11-10 | 2012-09-05 | 浙江工业大学 | 基于Web Service的IBE密钥管理*** |
US8634563B2 (en) | 2010-12-17 | 2014-01-21 | Microsoft Corporation | Attribute based encryption using lattices |
JP5693206B2 (ja) * | 2010-12-22 | 2015-04-01 | 三菱電機株式会社 | 暗号処理システム、鍵生成装置、暗号化装置、復号装置、暗号処理方法及び暗号処理プログラム |
RU2494553C2 (ru) * | 2011-05-03 | 2013-09-27 | ЗАО Институт инфокоммуникационных технологий | Способ защиты информации |
RU2450457C1 (ru) * | 2011-05-20 | 2012-05-10 | Государственное образовательное учреждение высшего профессионального образования Марийский государственный технический университет | Способ шифрования |
WO2013116916A1 (en) * | 2012-02-09 | 2013-08-15 | Irdeto Canada Corporation | System and method for generating and protecting cryptographic keys |
US10148285B1 (en) | 2012-07-25 | 2018-12-04 | Erich Schmitt | Abstraction and de-abstraction of a digital data stream |
CN104348614B (zh) * | 2013-07-24 | 2019-02-01 | 腾讯科技(深圳)有限公司 | 身份合法性验证的方法、装置及服务器 |
RU2541938C1 (ru) * | 2013-11-20 | 2015-02-20 | федеральное государственное автономное образовательное учреждение высшего образования "Санкт-Петербургский государственный политехнический университет" (ФГАОУ ВО "СПбПУ") | Способ шифрования с защитой от квантовых атак на основе циклов функций вебера |
US10795858B1 (en) | 2014-02-18 | 2020-10-06 | Erich Schmitt | Universal abstraction and de-abstraction of a digital data stream |
US20230125560A1 (en) * | 2015-12-20 | 2023-04-27 | Peter Lablans | Cryptographic Computer Machines with Novel Switching Devices |
JP6614979B2 (ja) * | 2016-01-15 | 2019-12-04 | 三菱電機株式会社 | 暗号装置、暗号方法及び暗号プログラム |
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CN108885745B (zh) | 2016-02-23 | 2023-06-30 | 区块链控股有限公司 | 具有令牌化的基于区块链的交换 |
AU2017223158B2 (en) | 2016-02-23 | 2022-03-31 | nChain Holdings Limited | Blockchain-implemented method for control and distribution of digital content |
BR112018016234A2 (pt) | 2016-02-23 | 2019-01-02 | Nchain Holdings Ltd | método implementado por computador para controlar o acesso a um recurso, sistemas baseados em computador e método para controle de acesso a uma carteira digital |
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CN115391749A (zh) | 2016-02-23 | 2022-11-25 | 区块链控股有限公司 | 使用分布式散列表和区块链保护计算机软件的方法及*** |
SG10202109555WA (en) | 2016-02-23 | 2021-09-29 | Nchain Holdings Ltd | Agent-based turing complete transactions integrating feedback within a blockchain system |
SG11201806702XA (en) * | 2016-02-23 | 2018-09-27 | Nchain Holdings Ltd | Personal device security using elliptic curve cryptography for secret sharing |
SG10201805995VA (en) | 2016-02-23 | 2018-08-30 | Nchain Holdings Ltd | Determining a common secret for the secure exchange of information and hierarchical, deterministic cryptographic keys |
EP3420669B1 (en) | 2016-02-23 | 2021-03-24 | Nchain Holdings Limited | Cryptographic method and system for secure extraction of data from a blockchain |
CN105915520B (zh) * | 2016-04-18 | 2019-02-12 | 深圳大学 | 基于公钥可搜索加密的文件存储、搜索方法及存储*** |
JP2017212699A (ja) * | 2016-05-27 | 2017-11-30 | 三菱電機株式会社 | 暗号化装置、復号装置及び暗号システム |
CA2984390A1 (en) * | 2016-11-07 | 2018-05-07 | Infosec Global Inc. | Elliptic curve isogeny-based cryptographic scheme |
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 |
US11146397B2 (en) * | 2017-10-31 | 2021-10-12 | Micro Focus Llc | Encoding abelian variety-based ciphertext with metadata |
CN108536651B (zh) * | 2018-04-19 | 2022-04-05 | 武汉轻工大学 | 生成可逆模m矩阵的方法和装置 |
AU2019259260B2 (en) * | 2018-04-25 | 2021-07-15 | Nippon Telegraph And Telephone Corporation | Secure aggregate sum system, secure computation apparatus, secure aggregate sum method, and program |
US20220006614A1 (en) * | 2018-10-04 | 2022-01-06 | Nippon Telegraph And Telephone Corporation | Secret sigmoid function calculation system, secret logistic regression calculation system, secret sigmoid function calculation apparatus, secret logistic regression calculation apparatus, secret sigmoid function calculation method, secret logistic regression calculation method, and program |
KR102184189B1 (ko) * | 2018-11-19 | 2020-11-27 | 주식회사 엔에스에이치씨 | 꼬인 에드워즈 곡선에 대한 4차 아이소제니 계산 방법 |
KR102184188B1 (ko) * | 2018-11-19 | 2020-11-27 | 주식회사 엔에스에이치씨 | 꼬인 에드워즈 곡선에 대한 3차 아이소제니 계산 방법 |
US11764940B2 (en) | 2019-01-10 | 2023-09-19 | Duality Technologies, Inc. | Secure search of secret data in a semi-trusted environment using homomorphic encryption |
US11032074B2 (en) * | 2019-02-11 | 2021-06-08 | Pqsecure Technologies, Llc | Cryptosystem and method using isogeny-based computations to reduce a memory footprint |
WO2020242614A1 (en) | 2019-05-30 | 2020-12-03 | Kim Bong Mann | Quantum safe cryptography and advanced encryption and key exchange (aeke) method for symmetric key encryption/exchange |
US10880278B1 (en) * | 2019-10-03 | 2020-12-29 | ISARA Corporation | Broadcasting in supersingular isogeny-based cryptosystems |
US11509473B2 (en) | 2020-07-20 | 2022-11-22 | Pqsecure Technologies, Llc | Architecture and method for hybrid isogeny-based cryptosystems |
US20240184699A1 (en) * | 2021-05-25 | 2024-06-06 | Pqsecure Technologies, Llc | An efficient and scalable architecture and method for isogeny-based cryptosystems |
CN113254985B (zh) * | 2021-07-15 | 2021-12-21 | 北京信安世纪科技股份有限公司 | 数据加密方法、数据处理方法、数据解密方法及电子设备 |
WO2023287427A1 (en) * | 2021-07-16 | 2023-01-19 | Pqsecure Technologies, Llc | A method and system for computing large-degree isogenies with an odd degree |
WO2023055582A1 (en) * | 2021-09-30 | 2023-04-06 | Visa International Service Association | Round optimal oblivious transfers from isogenies |
EP4311161A1 (en) * | 2022-07-18 | 2024-01-24 | GMV Soluciones Globales Internet, S.A.U. | Method and entity for generating a private key in an identity-based cryptosystem without key escrow |
Family Cites Families (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPH0233239A (ja) * | 1988-07-23 | 1990-02-02 | Nintendo Co Ltd | 通信制御装置 |
US5497423A (en) | 1993-06-18 | 1996-03-05 | Matsushita Electric Industrial Co., Ltd. | Method of implementing elliptic curve cryptosystems in digital signatures or verification and privacy communication |
JP2001526416A (ja) | 1997-12-05 | 2001-12-18 | シキュアード インフォメイション テクノロジー、 インコーポレイテッド | 楕円曲線暗号化演算の最適化用変換方法 |
US6212277B1 (en) | 1998-03-05 | 2001-04-03 | Matsushita Electric Industrial Co., Ltd. | Elliptic curve transformation device, utilization device and utilization system |
JP2002524778A (ja) | 1998-09-08 | 2002-08-06 | シティバンク,エヌ.エイ. | メモリ容量の少ないデバイス用の楕円曲線暗号系 |
US6816594B1 (en) | 1999-09-08 | 2004-11-09 | Hitachi, Ltd. | Elliptic curve generating method and device, elliptic encryption system and recording medium |
EP1425874B1 (en) * | 2001-08-13 | 2010-04-21 | Board Of Trustees Of The Leland Stanford Junior University | Systems and methods for identity-based encryption and related cryptographic techniques |
US7209555B2 (en) * | 2001-10-25 | 2007-04-24 | Matsushita Electric Industrial Co., Ltd. | Elliptic curve converting device, elliptic curve converting method, elliptic curve utilization device and elliptic curve generating device |
CA2369545C (en) | 2001-12-31 | 2013-01-08 | Certicom Corp. | Method and apparatus for elliptic curve scalar multiplication |
-
2004
- 2004-03-31 US US10/816,083 patent/US7499544B2/en active Active
- 2004-08-10 SG SG200404557A patent/SG111191A1/en unknown
- 2004-08-10 EP EP04018957A patent/EP1528705B1/en active Active
- 2004-08-10 DE DE602004020565T patent/DE602004020565D1/de active Active
- 2004-08-10 AT AT04018957T patent/ATE429098T1/de not_active IP Right Cessation
- 2004-08-27 CN CN200410068590A patent/CN100583755C/zh active Active
- 2004-09-10 TW TW093127553A patent/TWI360990B/zh not_active IP Right Cessation
- 2004-09-13 KR KR1020040073118A patent/KR101098701B1/ko active IP Right Grant
- 2004-09-14 IL IL16407104A patent/IL164071A0/xx unknown
- 2004-09-20 BR BR0404122-4A patent/BRPI0404122A/pt not_active IP Right Cessation
- 2004-09-23 CO CO04094973A patent/CO5630049A1/es not_active Application Discontinuation
- 2004-09-24 NO NO20044028A patent/NO20044028L/no unknown
- 2004-10-01 JP JP2004290612A patent/JP4809598B2/ja not_active Expired - Fee Related
- 2004-10-01 CA CA2483486A patent/CA2483486C/en not_active Expired - Fee Related
- 2004-10-01 NZ NZ535698A patent/NZ535698A/en not_active IP Right Cessation
- 2004-10-01 MY MYPI20044024A patent/MY165770A/en unknown
- 2004-10-06 AU AU2004218638A patent/AU2004218638B2/en not_active Ceased
- 2004-10-15 MX MXPA04010155A patent/MXPA04010155A/es active IP Right Grant
- 2004-11-02 RU RU2004132057/09A patent/RU2376651C2/ru not_active IP Right Cessation
-
2005
- 2005-09-22 HK HK05108290.5A patent/HK1085585A1/xx not_active IP Right Cessation
Also Published As
Publication number | Publication date |
---|---|
MXPA04010155A (es) | 2005-05-17 |
CN100583755C (zh) | 2010-01-20 |
EP1528705B1 (en) | 2009-04-15 |
EP1528705A1 (en) | 2005-05-04 |
SG111191A1 (en) | 2005-05-30 |
KR20050042441A (ko) | 2005-05-09 |
CA2483486C (en) | 2013-12-24 |
CO5630049A1 (es) | 2006-04-28 |
US7499544B2 (en) | 2009-03-03 |
TWI360990B (en) | 2012-03-21 |
JP2005141200A (ja) | 2005-06-02 |
AU2004218638A1 (en) | 2005-05-19 |
IL164071A0 (en) | 2005-12-18 |
NO20044028L (no) | 2005-05-04 |
CA2483486A1 (en) | 2005-05-03 |
MY165770A (en) | 2018-04-23 |
US20050094806A1 (en) | 2005-05-05 |
NZ535698A (en) | 2006-02-24 |
AU2004218638B2 (en) | 2009-07-30 |
KR101098701B1 (ko) | 2011-12-23 |
ATE429098T1 (de) | 2009-05-15 |
CN1614922A (zh) | 2005-05-11 |
RU2376651C2 (ru) | 2009-12-20 |
JP4809598B2 (ja) | 2011-11-09 |
DE602004020565D1 (de) | 2009-05-28 |
TW200525979A (en) | 2005-08-01 |
RU2004132057A (ru) | 2006-04-10 |
BRPI0404122A (pt) | 2005-06-21 |
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PC | Patent ceased (i.e. patent has lapsed due to the failure to pay the renewal fee) |
Effective date: 20190810 |