DE602004020565D1 - Auf Isogenien basierendes Verschlüsselungssystem - Google Patents

Auf Isogenien basierendes Verschlüsselungssystem

Info

Publication number
DE602004020565D1
DE602004020565D1 DE602004020565T DE602004020565T DE602004020565D1 DE 602004020565 D1 DE602004020565 D1 DE 602004020565D1 DE 602004020565 T DE602004020565 T DE 602004020565T DE 602004020565 T DE602004020565 T DE 602004020565T DE 602004020565 D1 DE602004020565 D1 DE 602004020565D1
Authority
DE
Germany
Prior art keywords
isogenies
isogeny
techniques
key
encryption
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.)
Active
Application number
DE602004020565T
Other languages
English (en)
Inventor
David Y Jao
Ramarathnam Venkatesan
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Microsoft Corp
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
Publication of DE602004020565D1 publication Critical patent/DE602004020565D1/de
Active legal-status Critical Current
Anticipated expiration legal-status Critical

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)
  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • Algebra (AREA)
  • General Engineering & Computer Science (AREA)
  • Storage Device Security (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Glass Compositions (AREA)
  • Dental Preparations (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
  • Financial Or Insurance-Related Operations Such As Payment And Settlement (AREA)
  • Complex Calculations (AREA)
  • Developing Agents For Electrophotography (AREA)
  • Transition And Organic Metals Composition Catalysts For Addition Polymerization (AREA)
  • Reverberation, Karaoke And Other Acoustics (AREA)
  • Devices For Checking Fares Or Tickets At Control Points (AREA)
DE602004020565T 2003-11-03 2004-08-10 Auf Isogenien basierendes Verschlüsselungssystem Active DE602004020565D1 (de)

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
DE602004020565D1 true DE602004020565D1 (de) 2009-05-28

Family

ID=34426337

Family Applications (1)

Application Number Title Priority Date Filing Date
DE602004020565T Active DE602004020565D1 (de) 2003-11-03 2004-08-10 Auf Isogenien basierendes Verschlüsselungssystem

Country Status (20)

Country Link
US (1) US7499544B2 (de)
EP (1) EP1528705B1 (de)
JP (1) JP4809598B2 (de)
KR (1) KR101098701B1 (de)
CN (1) CN100583755C (de)
AT (1) ATE429098T1 (de)
AU (1) AU2004218638B2 (de)
BR (1) BRPI0404122A (de)
CA (1) CA2483486C (de)
CO (1) CO5630049A1 (de)
DE (1) DE602004020565D1 (de)
HK (1) HK1085585A1 (de)
IL (1) IL164071A0 (de)
MX (1) MXPA04010155A (de)
MY (1) MY165770A (de)
NO (1) NO20044028L (de)
NZ (1) NZ535698A (de)
RU (1) RU2376651C2 (de)
SG (1) SG111191A1 (de)
TW (1) TWI360990B (de)

Families Citing this family (60)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CA2587474C (en) 2004-11-11 2016-08-09 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
US7702098B2 (en) 2005-03-15 2010-04-20 Microsoft Corporation Elliptic curve point octupling for weighted projective coordinates
US7680268B2 (en) 2005-03-15 2010-03-16 Microsoft Corporation Elliptic curve point octupling using single instruction multiple data processing
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系统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密钥管理系统
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
MX2018010045A (es) 2016-02-23 2019-01-21 Nchain Holdings Ltd Intercambio basado en cadena de bloques con tokenizacion.
GB2561729A (en) 2016-02-23 2018-10-24 Nchain Holdings Ltd Secure multiparty loss resistant storage and transfer of cryptographic keys for blockchain based systems in conjunction with a wallet management system
JP7128111B2 (ja) 2016-02-23 2022-08-30 エヌチェーン ホールディングス リミテッド ブロックチェーンを介して資産関連活動を制御するシステム及び方法
CN109314636B (zh) 2016-02-23 2022-01-11 区块链控股有限公司 用于从区块链中安全提取数据的密码方法和系统
BR112018016245A2 (pt) 2016-02-23 2018-12-18 Nchain Holdings Ltd método, dispositivo e sistema para determinação de um segredo comum para o intercâmbio seguro de informações e chaves criptoógráficas, sistema para comunicação e programa de computador
GB2560274C (en) * 2016-02-23 2022-06-15 Nchain Holdings Ltd Personal device security using elliptic curve cryptography for secret sharing
GB2561725A (en) 2016-02-23 2018-10-24 Nchain Holdings Ltd Blockchain-implemented method for control and distribution of digital content
CN114723447A (zh) 2016-02-23 2022-07-08 区块链控股有限公司 区块链系统内的基于代理的图灵完备交易集成反馈
EP3257191B1 (de) 2016-02-23 2018-04-11 Nchain Holdings Limited Register und verfahren zur automatisierten verwaltung für blockchain-erzwungene intelligente kontrakte
EP3420514B1 (de) 2016-02-23 2024-03-13 nChain Licensing AG Verfahren und system zur sicherung von computersoftware mittels einer verteilten hash-tabelle und 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、搜索方法及存储系统
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 (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
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
EP3786926B1 (de) * 2018-04-25 2023-06-14 Nippon Telegraph And Telephone Corporation Sicheres summenaggregationssystem, sicheres berechnungsverfahren, sicheres summenaggregationsverfahren und programm
CN112805769B (zh) * 2018-10-04 2023-11-07 日本电信电话株式会社 秘密s型函数计算系统、装置、方法及记录介质
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
US11128454B2 (en) 2019-05-30 2021-09-21 Bong Mann Kim 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
WO2022019886A1 (en) * 2020-07-20 2022-01-27 Pqsecure Technologies, Llc An architecture and method for hybrid isogeny-based cryptosystems
WO2022250656A1 (en) * 2021-05-25 2022-12-01 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 (de) * 2022-07-18 2024-01-24 GMV Soluciones Globales Internet, S.A.U. Verfahren und entität zur erzeugung eines privaten schlüssels in einem identitätsbasierten kryptosystem ohne schlüsselhinterlegung

Family Cites Families (9)

* Cited by examiner, † Cited by third party
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
EP1038371A4 (de) 1997-12-05 2002-01-30 Secured Information Technology Unwandlungsverfahren zur optimierung von kryptographischen berechnungen über elliptische kurven
US6212277B1 (en) 1998-03-05 2001-04-03 Matsushita Electric Industrial Co., Ltd. Elliptic curve transformation device, utilization device and utilization system
EP1112637A1 (de) 1998-09-08 2001-07-04 Citibank, N.A. Auf elliptischen kurven basierendes kryptosystem für vorrichtungen mit geringer speicherkapazität
WO2001018772A1 (fr) 1999-09-08 2001-03-15 Hitachi, Ltd. Procede et dispositif d'elaboration de courbes elliptiques, systeme elliptique de cryptage et support d'enregistrement
AU2002332671A1 (en) * 2001-08-13 2003-03-03 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
US7215780B2 (en) 2001-12-31 2007-05-08 Certicom Corp. Method and apparatus for elliptic curve scalar multiplication

Also Published As

Publication number Publication date
SG111191A1 (en) 2005-05-30
CN1614922A (zh) 2005-05-11
EP1528705A1 (de) 2005-05-04
US20050094806A1 (en) 2005-05-05
KR20050042441A (ko) 2005-05-09
IL164071A0 (en) 2005-12-18
TWI360990B (en) 2012-03-21
NO20044028L (no) 2005-05-04
NZ535698A (en) 2006-02-24
EP1528705B1 (de) 2009-04-15
BRPI0404122A (pt) 2005-06-21
ATE429098T1 (de) 2009-05-15
JP4809598B2 (ja) 2011-11-09
KR101098701B1 (ko) 2011-12-23
CN100583755C (zh) 2010-01-20
MXPA04010155A (es) 2005-05-17
RU2376651C2 (ru) 2009-12-20
CO5630049A1 (es) 2006-04-28
AU2004218638B2 (en) 2009-07-30
JP2005141200A (ja) 2005-06-02
MY165770A (en) 2018-04-23
CA2483486C (en) 2013-12-24
TW200525979A (en) 2005-08-01
HK1085585A1 (en) 2006-08-25
RU2004132057A (ru) 2006-04-10
AU2004218638A1 (en) 2005-05-19
CA2483486A1 (en) 2005-05-03
US7499544B2 (en) 2009-03-03

Similar Documents

Publication Publication Date Title
ATE429098T1 (de) Auf isogenien basierendes verschlüsselungssystem
EP4254248A3 (de) Kryptographische verfahren und systeme zur verwaltung digitaler zertifikate
ATE405050T1 (de) Effiziente verschlüsselung und authentifizierung für datenverarbeitungssysteme
DE60138884D1 (de) Datenübertragungs- un verwaltungsverfahren
WO2009134937A3 (en) Format-preserving cryptographic systems
EP1154348A9 (de) Vorrichtung zur Dateienverwaltung
TNSN07055A1 (en) Permutation data transform to enhance security
KR101971215B1 (ko) 유효 숫자 연산을 지원하는 동형 암호문의 생성 방법 및 그러한 방법에 의해서 생성된 동형 암호문에 대한 유효 숫자 연산 방법
WO2003065639A3 (en) System and method of hiding cryptographic private keys
ATE362259T1 (de) System zur sicheren dokumentlieferung
ATE465571T1 (de) Systeme und verfahren zur verschlüsselung auf identitätsbasis und damit zusammenhängende kryptografische techniken
IL211475A (en) Security Transfer Information Promotions
WO2004038543A3 (en) Method and system for transmitting secured electronic documents
ATE523017T1 (de) Schlüsselvereinbarungs- und transportprotokoll
EP1380917A3 (de) Methode und System zur Validierung von Softwarecode
AU5759800A (en) Secure system for printing authenticating digital signatures
NO20074585L (no) Rettighetsforvaltningssystem for strommende multimedia-innhold
TW200631375A (en) Multivariable public key systems
Singh et al. An ASCII value based text data encryption System
WO2001037478A3 (en) Encryption key management system using multiple smart cards
IL164320A (en) Challenge-based authentication without requiring knowledge of secret authentication data
WO2004114197A8 (en) Method and system for controlling the disclosure time of information
KR970056124A (ko) 차동 워크팩터 암호방법 및 시스템
Murthy et al. Elliptic curve based signature method to control fake paper based certificates
JPWO2008156107A1 (ja) 電子データの暗号化及び暗号化データ復号化システム及びその方法

Legal Events

Date Code Title Description
8364 No opposition during term of opposition