NO20044028L - Bruk av isogenier for utvikling av kryptosystemer - Google Patents

Bruk av isogenier for utvikling av kryptosystemer

Info

Publication number
NO20044028L
NO20044028L NO20044028A NO20044028A NO20044028L NO 20044028 L NO20044028 L NO 20044028L NO 20044028 A NO20044028 A NO 20044028A NO 20044028 A NO20044028 A NO 20044028A NO 20044028 L NO20044028 L NO 20044028L
Authority
NO
Norway
Prior art keywords
isogenies
isogeny
techniques
key
encryption
Prior art date
Application number
NO20044028A
Other languages
English (en)
Norwegian (no)
Inventor
Davis 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
Publication of NO20044028L publication Critical patent/NO20044028L/no

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

Landscapes

  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Signal Processing (AREA)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Storage Device Security (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Dental Preparations (AREA)
  • Glass Compositions (AREA)
  • Financial Or Insurance-Related Operations Such As Payment And Settlement (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
  • Devices For Checking Fares Or Tickets At Control Points (AREA)
  • Complex Calculations (AREA)
  • Developing Agents For Electrophotography (AREA)
  • Reverberation, Karaoke And Other Acoustics (AREA)
  • Transition And Organic Metals Composition Catalysts For Addition Polymerization (AREA)
NO20044028A 2003-11-03 2004-09-24 Bruk av isogenier for utvikling av kryptosystemer NO20044028L (no)

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
NO20044028L true NO20044028L (no) 2005-05-04

Family

ID=34426337

Family Applications (1)

Application Number Title Priority Date Filing Date
NO20044028A NO20044028L (no) 2003-11-03 2004-09-24 Bruk av isogenier for utvikling av kryptosystemer

Country Status (20)

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

Families Citing this family (60)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP1815636B1 (fr) 2004-11-11 2012-02-22 Certicom Corp. Nouvelle fonction a sens unique avec trappe sur des courbes elliptiques, et application pour permettre le chiffrement asymetrique et des signatures plus courtes
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
WO2008156107A1 (fr) 2007-06-18 2008-12-24 Nec Corporation Système de chiffrement de données électroniques et de déchiffrement de données chiffrées, et procédé associé
KR101490687B1 (ko) * 2007-08-20 2015-02-06 삼성전자주식회사 홈 네트워크에서 디바이스들이 비밀 정보를 공유하는 방법및 이를 위한 장치
JP5079024B2 (ja) * 2008-02-20 2012-11-21 三菱電機株式会社 検証装置及び暗号文復号装置及び署名検証装置及び認証装置及び暗号システム及びコンピュータプログラム
US8037327B2 (en) * 2008-03-31 2011-10-11 Agilent Technologies, Inc. System and method for improving dynamic response in a power supply
US8625777B2 (en) * 2008-08-29 2014-01-07 National University Corporation Okayama University Pairing computation device, pairing computation method, and pairing computation program
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 (fr) * 2012-02-09 2013-08-15 Irdeto Canada Corporation Système et procédé permettant de générer et de protéger des clés cryptographiques
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
BR112018016819A2 (pt) 2016-02-23 2018-12-26 Nchain Holdings Ltd método e sistemas para proteger um recurso digital controlado utilizando uma tabela de dispersão e livro-razão distribuídos e um blockchain
BR112018016782A2 (pt) 2016-02-23 2018-12-26 Nchain Holdings Ltd sistema e método implementado por computador configurado para controlar uma transferência feita através de um blockchain
LT3268914T (lt) 2016-02-23 2018-11-12 nChain Holdings Limited Bendros paslapties, skirtos saugiems informacijos mainams, nustatymas ir hierarchiniai determinuoti kriptografiniai raktai
JP6528008B2 (ja) * 2016-02-23 2019-06-12 エヌチェーン ホールディングス リミテッドＮｃｈａｉｎ Ｈｏｌｄｉｎｇｓ Ｌｉｍｉｔｅｄ 秘密共有のための楕円曲線暗号化を利用したパーソナルデバイスセキュリティ
EP3420675B1 (fr) 2016-02-23 2020-03-11 Nchain Holdings Limited Système de comptage mis en oeuvre par des chaînes de blocs et procédé à utiliser dans un vote et une distribution sécurisés
BR112018016822A2 (pt) 2016-02-23 2018-12-26 Nchain Holdings Ltd método implementado por computador para realizar uma troca de entidades entre um primeiro usuário e um segundo usuário, processador e meio legível por computador
EP3420669B1 (fr) 2016-02-23 2021-03-24 Nchain Holdings Limited Procédé et système cryptographiques pour l'extraction sécurisée de données à partir d'une chaîne de blocs
JP6942136B2 (ja) 2016-02-23 2021-09-29 エヌチェーン ホールディングス リミテッドＮｃｈａｉｎ Ｈｏｌｄｉｎｇｓ Ｌｉｍｉｔｅｄ デジタルコンテンツの制御及び配信のためのブロックチェーンにより実施される方法
WO2017145019A1 (fr) 2016-02-23 2017-08-31 nChain Holdings Limited Registre et procédé de gestion automatisée pour contrats intelligents appliqués par chaîne de blocs
WO2017145010A1 (fr) 2016-02-23 2017-08-31 nChain Holdings Limited Stockage sécurisé résistant à une perte multipartite et transfert de clés cryptographiques pour des systèmes basés sur une chaîne de blocs conjointement avec un système de gestion de portefeuille
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 (fr) * 2016-11-07 2018-05-07 Infosec Global Inc. Schema cryptographique fonde sur l'isogenie de courbe elliptique
EP3367608A1 (fr) * 2017-02-28 2018-08-29 Koninklijke Philips N.V. Protocole d'échange de clés basé sur des isogénies de courbes elliptiques
EP3379766B1 (fr) * 2017-03-20 2019-06-26 Huawei Technologies Co., Ltd. Dispositif de communication sans fil pour la communication dans un réseau de communication sans fil
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
JP6973632B2 (ja) * 2018-04-25 2021-12-01 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
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
WO2020242614A1 (fr) 2019-05-30 2020-12-03 Kim Bong Mann Cryptographie à sécurité quantique et procédé avancé de chiffrement et d'échange de clés (aeke) pour chiffrement/échange de clé symétrique
US10880278B1 (en) 2019-10-03 2020-12-29 ISARA Corporation Broadcasting in supersingular isogeny-based cryptosystems
WO2022019886A1 (fr) * 2020-07-20 2022-01-27 Pqsecure Technologies, Llc Architecture et procédé pour cryptosystèmes hybrides basés sur l'isogenie
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 (fr) * 2021-07-16 2023-01-19 Pqsecure Technologies, Llc Procédé et système de calcul d'isogénies de degré élevé avec un degré impair
WO2023055582A1 (fr) * 2021-09-30 2023-04-06 Visa International Service Association Transferts inconscients optimaux ronds à partir d'isogénies
EP4311161A1 (fr) * 2022-07-18 2024-01-24 GMV Soluciones Globales Internet, S.A.U. Procédé et entité pour générer une clé privée dans un cryptosystème basé sur l'identité sans clés sous seing privé

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
CN1280726A (zh) 1997-12-05 2001-01-17 保密信息技术公司 优化椭圆曲线密码计算的变换方法
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
JP3689039B2 (ja) 1999-09-08 2005-08-31 株式会社日立製作所 楕円曲線生成方法、装置及び楕円暗号システム並びに記録媒体
EP1425874B1 (fr) * 2001-08-13 2010-04-21 Board Of Trustees Of The Leland Stanford Junior University Systèmes et procédés de cryptage sur la base des identites, et procédures cryptographiques associées
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
CN1614922A (zh) 2005-05-11
CA2483486C (fr) 2013-12-24
ATE429098T1 (de) 2009-05-15
CN100583755C (zh) 2010-01-20
RU2376651C2 (ru) 2009-12-20
TWI360990B (en) 2012-03-21
MY165770A (en) 2018-04-23
IL164071A0 (en) 2005-12-18
US20050094806A1 (en) 2005-05-05
BRPI0404122A (pt) 2005-06-21
EP1528705A1 (fr) 2005-05-04
SG111191A1 (en) 2005-05-30
JP2005141200A (ja) 2005-06-02
KR20050042441A (ko) 2005-05-09
KR101098701B1 (ko) 2011-12-23
CO5630049A1 (es) 2006-04-28
NZ535698A (en) 2006-02-24
RU2004132057A (ru) 2006-04-10
JP4809598B2 (ja) 2011-11-09
US7499544B2 (en) 2009-03-03
AU2004218638A1 (en) 2005-05-19
TW200525979A (en) 2005-08-01
EP1528705B1 (fr) 2009-04-15
DE602004020565D1 (de) 2009-05-28
HK1085585A1 (en) 2006-08-25
CA2483486A1 (fr) 2005-05-03
MXPA04010155A (es) 2005-05-17
AU2004218638B2 (en) 2009-07-30

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