ATE429098T1 - Auf isogenien basierendes verschlüsselungssystem - Google Patents

Auf isogenien basierendes verschlüsselungssystem

Info

Publication number
ATE429098T1
ATE429098T1 AT04018957T AT04018957T ATE429098T1 AT E429098 T1 ATE429098 T1 AT E429098T1 AT 04018957 T AT04018957 T AT 04018957T AT 04018957 T AT04018957 T AT 04018957T AT E429098 T1 ATE429098 T1 AT E429098T1
Authority
AT
Austria
Prior art keywords
isogenies
isogeny
techniques
key
encryption
Prior art date
Application number
AT04018957T
Other languages
English (en)
Inventor
David Y Jao
Ramarathnam Venkatesan
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 ATE429098T1 publication Critical patent/ATE429098T1/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
    • 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
    • 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
AT04018957T 2003-11-03 2004-08-10 Auf isogenien basierendes verschlüsselungssystem ATE429098T1 (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
ATE429098T1 true ATE429098T1 (de) 2009-05-15

Family

ID=34426337

Family Applications (1)

Application Number Title Priority Date Filing Date
AT04018957T ATE429098T1 (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 (59)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
ATE546909T1 (de) * 2004-11-11 2012-03-15 Certicom Corp Neue falltür-einwegefunktion auf elliptischen kurven und ihre anwendung für asymmetrische verschlüsselung und kürzere signaturen
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
EP2360659A4 (de) * 2008-08-29 2013-03-13 Univ Okayama Nat Univ Corp Paarungsberechnungsvorrichtung, paarungsberechnungsverfahren und paarungsberechnungsprogramm
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
EP2813029B1 (de) * 2012-02-09 2020-12-02 Irdeto B.V. System und verfahren zum erstellen und schützen kryptografischer schlüssel
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
EP3257002B1 (de) 2016-02-23 2020-03-11 Nchain Holdings Limited Agent auf basis von vollständigen transaktionen zur integration von feedback innerhalb eines blockkettensystems
EP3855677A1 (de) 2016-02-23 2021-07-28 Nchain Holdings Limited Blockchain-implementiertes verfahren zur steuerung und verteilung von digitalem inhalt
BR112018016810A2 (pt) * 2016-02-23 2018-12-26 nChain Holdings Limited método e sistema implementado por computador para criptografia de dados em um dispositivo eletrônico, dispositivo eletrônico e programa de computador
KR20180115768A (ko) 2016-02-23 2018-10-23 엔체인 홀딩스 리미티드 블록체인으로부터 데이터의 안전한 추출을 위한 암호화 방법 및 시스템
CA3010116A1 (en) 2016-02-23 2017-08-31 nChain Holdings Limited Determining a common secret for the secure exchange of information and hierarchical, deterministic cryptographic keys
SG11201806712RA (en) 2016-02-23 2018-09-27 Nchain Holdings Ltd A method and system for securing computer software using a distributed hash table and a blockchain
EP3420513A1 (de) 2016-02-23 2019-01-02 Nchain Holdings Limited System und verfahren zur steuerung asset-bezogener aktionen mittels einer blockchain
EP4167165A1 (de) 2016-02-23 2023-04-19 nChain Licensing AG Blockchain-basierter austausch mit tokenisierung
CN114282928A (zh) 2016-02-23 2022-04-05 恩链控股有限公司 基于区块链系统结合钱包管理系统的加密密钥存储和转移
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
US10673631B2 (en) * 2016-11-07 2020-06-02 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
WO2019208484A1 (ja) * 2018-04-25 2019-10-31 日本電信電話株式会社 秘密集約総和システム、秘密計算装置、秘密集約総和方法、およびプログラム
EP3863003B1 (de) * 2018-10-04 2024-05-01 Nippon Telegraph And Telephone Corporation System zur berechnung einer versteckten sigmoidfunktion, system zur berechnung einer versteckten logistischen regression, vorrichtung zur berechnung einer versteckten sigmoidfunktion, vorrichtung zur berechnung einer versteckten logistischen regression, verfahren zur berechnung einer versteckten sigmoidfunktion, verfahren zur berechnung einer versteckten logistischen regression sowie ein programm
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
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
US11483151B1 (en) * 2021-07-16 2022-10-25 Pqsecure Technologies, Llc 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
AU758621B2 (en) 1997-12-05 2003-03-27 Icesoft Technologies, Inc. Transformation methods for optimizing elliptic curve cryptographic computations
CN1235446A (zh) 1998-03-05 1999-11-17 松下电器产业株式会社 椭圆曲线变换装置、利用装置和利用系统
AU6243899A (en) 1998-09-08 2000-03-27 Citibank, N.A. Elliptic curve cryptosystems for low memory devices
CA2321246A1 (en) 1999-09-08 2001-03-08 Hitachi, Ltd. Method and apparatus for generating elliptic curve, elliptic curve cryptosystem and recording medium
JP2005500740A (ja) * 2001-08-13 2005-01-06 ザ ボード オブ トラスティーズ オブ ザ リーランド スタンフォード ジュニア ユニバーシティ Ｉｄベース暗号化および関連する暗号手法のシステムおよび方法
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

Also Published As

Publication number Publication date
EP1528705A1 (de) 2005-05-04
RU2376651C2 (ru) 2009-12-20
IL164071A0 (en) 2005-12-18
DE602004020565D1 (de) 2009-05-28
HK1085585A1 (en) 2006-08-25
US7499544B2 (en) 2009-03-03
CA2483486C (en) 2013-12-24
NO20044028L (no) 2005-05-04
US20050094806A1 (en) 2005-05-05
RU2004132057A (ru) 2006-04-10
EP1528705B1 (de) 2009-04-15
KR101098701B1 (ko) 2011-12-23
CN1614922A (zh) 2005-05-11
SG111191A1 (en) 2005-05-30
AU2004218638B2 (en) 2009-07-30
JP2005141200A (ja) 2005-06-02
MXPA04010155A (es) 2005-05-17
CO5630049A1 (es) 2006-04-28
TW200525979A (en) 2005-08-01
BRPI0404122A (pt) 2005-06-21
MY165770A (en) 2018-04-23
AU2004218638A1 (en) 2005-05-19
TWI360990B (en) 2012-03-21
CA2483486A1 (en) 2005-05-03
CN100583755C (zh) 2010-01-20
KR20050042441A (ko) 2005-05-09
NZ535698A (en) 2006-02-24
JP4809598B2 (ja) 2011-11-09

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