DE69534603D1 - Verschlüsselungssystem für elliptische kurve - Google Patents

Verschlüsselungssystem für elliptische kurve

Info

Publication number
DE69534603D1
DE69534603D1 DE69534603T DE69534603T DE69534603D1 DE 69534603 D1 DE69534603 D1 DE 69534603D1 DE 69534603 T DE69534603 T DE 69534603T DE 69534603 T DE69534603 T DE 69534603T DE 69534603 D1 DE69534603 D1 DE 69534603D1
Authority
DE
Germany
Prior art keywords
elliptic curve
encryption system
encryption
elliptic
curve
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 - Lifetime
Application number
DE69534603T
Other languages
English (en)
Other versions
DE69534603T2 (de
Inventor
C Mullin
A Vanstone
B Agnew
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.)
Certicom Corp
Original Assignee
Certicom 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 Certicom Corp filed Critical Certicom Corp
Publication of DE69534603D1 publication Critical patent/DE69534603D1/de
Application granted granted Critical
Publication of DE69534603T2 publication Critical patent/DE69534603T2/de
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; 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
    • G06F7/726—Inversion; Reciprocal calculation; Division of elements of a finite field
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; 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
    • H04L9/30—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
    • 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
    • H04L2209/12—Details relating to cryptographic hardware or logic circuitry
    • H04L2209/125—Parallelization or pipelining, e.g. for accelerating processing of cryptographic operations

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Computer Security & Cryptography (AREA)
  • Complex Calculations (AREA)
  • Error Detection And Correction (AREA)
  • Storage Device Security (AREA)
DE69534603T 1994-07-29 1995-07-31 Verschlüsselungssystem für elliptische kurve Expired - Lifetime DE69534603T2 (de)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US28226394A 1994-07-29 1994-07-29
US282263 1994-07-29
PCT/CA1995/000452 WO1996004602A1 (en) 1994-07-29 1995-07-31 Elliptic curve encryption systems

Publications (2)

Publication Number Publication Date
DE69534603D1 true DE69534603D1 (de) 2005-12-15
DE69534603T2 DE69534603T2 (de) 2006-08-03

Family

ID=23080732

Family Applications (1)

Application Number Title Priority Date Filing Date
DE69534603T Expired - Lifetime DE69534603T2 (de) 1994-07-29 1995-07-31 Verschlüsselungssystem für elliptische kurve

Country Status (5)

Country Link
US (2) US6141420A (de)
EP (1) EP0804758B1 (de)
AU (1) AU3073595A (de)
DE (1) DE69534603T2 (de)
WO (1) WO1996004602A1 (de)

Families Citing this family (143)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5999626A (en) 1996-04-16 1999-12-07 Certicom Corp. Digital signatures on a smartcard
US7567669B2 (en) * 1996-05-17 2009-07-28 Certicom Corp. Strengthened public key protocol
GB9627069D0 (en) * 1996-12-30 1997-02-19 Certicom Corp A method and apparatus for finite field multiplication
DE69738931D1 (de) * 1997-01-28 2008-10-02 Matsushita Electric Industrial Co Ltd Vorrrichtung zum digitalen unterschreiben mit rückgewinnung der botschaft
US6782100B1 (en) 1997-01-29 2004-08-24 Certicom Corp. Accelerated finite field operations on an elliptic curve
US6038581A (en) * 1997-01-29 2000-03-14 Nippon Telegraph And Telephone Corporation Scheme for arithmetic operations in finite field and group operations over elliptic curves realizing improved computational speed
CA2233120C (en) 1997-03-25 2009-08-11 Certicom Corp. Accelerated finite field operations on an elliptic curve
CA2253009C (en) 1997-11-04 2002-06-25 Nippon Telegraph And Telephone Corporation Method and apparatus for modular inversion for information security and recording medium with a program for implementing the method
DE69930334T2 (de) 1998-01-28 2006-11-09 Hitachi, Ltd. IC-Karte ausgerüstet mit einer Verarbeitungsanlage für Elliptische-Kurven-Verschlüsselung
DE69905145T2 (de) * 1998-03-25 2003-06-05 Certicom Corp., Mississauga Beschleunigte begrenztes-feld-operationen auf einer elliptischen kurve
CA2239372A1 (en) * 1998-06-01 1999-12-01 Certicom Corp. Accelerated cryptographic operations
US6199087B1 (en) * 1998-06-25 2001-03-06 Hewlett-Packard Company Apparatus and method for efficient arithmetic in finite fields through alternative representation
US6252960B1 (en) * 1998-08-04 2001-06-26 Hewlett-Packard Company Compression and decompression of elliptic curve data points
DE69906897T2 (de) * 1998-09-03 2004-01-29 Nippon Telegraph & Telephone Gerät und Verfahren zur Elliptische-Kurven Multiplikation und Aufnahmemedium mitdarauf aufgenommen ein Program zur Ausführung des Verfahrens
US7215773B1 (en) * 1998-10-14 2007-05-08 Certicom.Corp. Key validation scheme
US7277540B1 (en) * 1999-01-20 2007-10-02 Kabushiki Kaisha Toshiba Arithmetic method and apparatus and crypto processing apparatus for performing multiple types of cryptography
US6611597B1 (en) * 1999-01-25 2003-08-26 Matsushita Electric Industrial Co., Ltd. Method and device for constructing elliptic curves
CA2263056C (en) * 1999-02-26 2009-04-28 Certicom Corp. Method and apparatus for finite field basis conversion
US6490352B1 (en) * 1999-03-05 2002-12-03 Richard Schroeppel Cryptographic elliptic curve apparatus and method
FR2791497B1 (fr) * 1999-03-26 2001-05-18 Gemplus Card Int Procedes de contre-mesure dans un composant electronique mettant en oeuvre un algorithme de crytographie a cle publique de type courbe elliptique
FR2796177B1 (fr) * 1999-07-09 2001-10-12 Oberthur Card Systems Sas Procede de cryptographie mis en oeuvre entre deux entites echangeant des informations
US20020055962A1 (en) * 1999-11-12 2002-05-09 Richard Schroeppel Automatically solving equations in finite fields
US7200225B1 (en) 1999-11-12 2007-04-03 Richard Schroeppel Elliptic curve point ambiguity resolution apparatus and method
US6701336B1 (en) * 1999-11-12 2004-03-02 Maxtor Corporation Shared galois field multiplier
US6603445B1 (en) * 1999-12-30 2003-08-05 Yeda Research And Development Co. Ltd. Method and apparatus for factoring large numbers with optoelectronic devices
US7308096B2 (en) * 2000-05-30 2007-12-11 Hitachi, Ltd. Elliptic scalar multiplication system
US7035470B2 (en) * 2001-02-05 2006-04-25 Ati Technologies, Inc. System for handling errors related to IDCT data and method thereof
US7885336B2 (en) * 2001-02-05 2011-02-08 Ati Technologies Ulc Programmable shader-based motion compensation apparatus and method
KR20020086005A (ko) * 2001-05-10 2002-11-18 학교법인 정석학원 타원곡선 암호 시스템을 위한 역원 연산기
FR2824653B1 (fr) * 2001-05-11 2003-08-08 Gemplus Card Int Dispositif destine a realiser des calculs d'exponentiation appliques a des points d'une courbe elliptique
US7308469B2 (en) * 2001-06-15 2007-12-11 Robert Joseph Harley Method for generating secure elliptic curves using an arithmetic-geometric mean iteration
KR100399048B1 (ko) * 2001-06-18 2003-09-26 한국전자통신연구원 타원곡선 암호화 장치
US7206410B2 (en) * 2001-10-10 2007-04-17 Stmicroelectronics S.R.L. Circuit for the inner or scalar product computation in Galois fields
DE10161138B4 (de) * 2001-12-12 2008-02-14 Siemens Ag Verfahren und Vorrichtung zum Ermitteln einer elliptischen Kurve, Verfahren und Vorrichtung zum Multiplizieren eines Punktes mit einem Skalar
DE10161137B4 (de) * 2001-12-12 2008-02-14 Siemens Ag Verfahren und System zum kryptographischen Bearbeiten von Daten
CA2369537C (en) * 2001-12-31 2013-07-23 Blackberry Limited Method and apparatus for performing finite field calculations
US7349538B2 (en) * 2002-03-21 2008-03-25 Ntt Docomo Inc. Hierarchical identity-based encryption and signature schemes
US6708893B2 (en) * 2002-04-12 2004-03-23 Lucent Technologies Inc. Multiple-use smart card with security features and method
CN101453332A (zh) * 2002-04-15 2009-06-10 株式会社Ntt都科摩 利用双线性映射的签名方案
US20040001590A1 (en) * 2002-06-27 2004-01-01 Eisentraeger Anne Kirsten Efficient elliptic curve double-and-add calculator
US7062043B1 (en) * 2002-06-28 2006-06-13 The United States Of America As Represented By The National Security Agency Method of elliptic curve digital signature using coefficient splitting
US7062044B1 (en) * 2002-06-28 2006-06-13 The United States Of America As Represented By The National Security Agency Method of elliptic curve cryptographic key agreement using coefficient splitting
JP2004126514A (ja) * 2002-08-06 2004-04-22 Hitachi Ltd 公開鍵暗号通信方法
US7657748B2 (en) * 2002-08-28 2010-02-02 Ntt Docomo, Inc. Certificate-based encryption and public key infrastructure
US7724898B2 (en) * 2002-10-17 2010-05-25 Telefonaktiebolaget L M Ericsson (Publ) Cryptography using finite fields of odd characteristic on binary hardware
US20040096057A1 (en) * 2002-11-20 2004-05-20 Moore Stephen F. Modular multiplication of multi-precision numbers
US20040098435A1 (en) * 2002-11-20 2004-05-20 Moore Stephen F. Modular reduction of multi-precision numbers
US20040117601A1 (en) * 2002-12-12 2004-06-17 Spracklen Lawrence A General-purpose processor that can rapidly perform binary polynomial arithmetic operations
EP1668818A2 (de) * 2003-10-03 2006-06-14 Matsushita Electric Industrial Co., Ltd. Informationsübertragungssystem, verschlüsselungsvorrichtung unt entschlüsselungsvorrichtung unter verwendung einer elliptischen kurve
US20050135605A1 (en) * 2003-12-17 2005-06-23 Dimitrov Vassil S. Cryptographic exponentiation methods
US7483533B2 (en) * 2004-08-05 2009-01-27 King Fahd University Of Petroleum Elliptic polynomial cryptography with multi x-coordinates embedding
US7483534B2 (en) * 2004-08-05 2009-01-27 King Fahd University Of Petroleum Elliptic polynomial cryptography with multi y-coordinates embedding
US7742596B2 (en) * 2004-08-24 2010-06-22 General Dynamics C4 Systems, Inc. Reliable elliptic curve cryptography computation
US20060078790A1 (en) * 2004-10-05 2006-04-13 Polyplus Battery Company Solid electrolytes based on lithium hafnium phosphate for active metal anode protection
US7593527B2 (en) * 2005-01-07 2009-09-22 First Data Corporation Providing digital signature and public key based on shared knowledge
US20060153367A1 (en) * 2005-01-07 2006-07-13 Beeson Curtis L Digital signature system based on shared knowledge
US7936869B2 (en) * 2005-01-07 2011-05-03 First Data Corporation Verifying digital signature based on shared knowledge
US20060156013A1 (en) * 2005-01-07 2006-07-13 Beeson Curtis L Digital signature software using ephemeral private key and system
US7869593B2 (en) * 2005-01-07 2011-01-11 First Data Corporation Software for providing based on shared knowledge public keys having same private key
US20060153369A1 (en) * 2005-01-07 2006-07-13 Beeson Curtis L Providing cryptographic key based on user input data
US7693277B2 (en) * 2005-01-07 2010-04-06 First Data Corporation Generating digital signatures using ephemeral cryptographic key
US20060153370A1 (en) * 2005-01-07 2006-07-13 Beeson Curtis L Generating public-private key pair based on user input data
US20060153364A1 (en) * 2005-01-07 2006-07-13 Beeson Curtis L Asymmetric key cryptosystem based on shared knowledge
US7490239B2 (en) * 2005-01-07 2009-02-10 First Data Corporation Facilitating digital signature based on ephemeral private key
US8467535B2 (en) * 2005-01-18 2013-06-18 Certicom Corp. Accelerated verification of digital signatures and public keys
US8204232B2 (en) 2005-01-18 2012-06-19 Certicom Corp. Accelerated verification of digital signatures and public keys
FR2881300B1 (fr) * 2005-01-21 2007-03-16 Gemplus Sa Procede de generation d'une courbe elliptique, application a un procede cryptographique, et procede cryptographique une telle courbe
KR100817048B1 (ko) * 2005-03-05 2008-03-26 삼성전자주식회사 여러 가지 포인트 표현을 기반으로 한 ｅｃｃ에서 ｄｆａ대책을 위한 암호화 방법 및 장치
KR100699836B1 (ko) * 2005-03-19 2007-03-27 삼성전자주식회사 스칼라 곱에서 ｄｆａ 대책을 위한 장치 및 방법
DE602005020702D1 (de) 2005-10-18 2010-05-27 Telecom Italia Spa Verfahren zur skalarmultiplikation in gruppen elliptischer kurven über primkörpern für nebenkanal-attacken-beständige kryptosysteme
DE602005020991D1 (de) * 2005-10-28 2010-06-10 Telecom Italia Spa Verfahren zur skalarmultiplikation in gruppen ellir nebenkanalattacken-beständige kryptosysteme
US7664258B2 (en) * 2005-12-28 2010-02-16 Microsoft Corporation Randomized sparse formats for efficient and secure computation on elliptic curves
US7912216B2 (en) * 2006-03-03 2011-03-22 Safenet, Inc. Elliptic curve cryptosystem optimization using two phase key generation
US7664259B2 (en) * 2006-03-09 2010-02-16 Motorola, Inc. Encryption and verification using partial public key
US8036379B2 (en) * 2006-03-15 2011-10-11 Microsoft Corporation Cryptographic processing
US8311214B2 (en) * 2006-04-24 2012-11-13 Motorola Mobility Llc Method for elliptic curve public key cryptographic validation
US7992203B2 (en) 2006-05-24 2011-08-02 Red Hat, Inc. Methods and systems for secure shared smartcard access
US7822209B2 (en) 2006-06-06 2010-10-26 Red Hat, Inc. Methods and systems for key recovery for a token
US8098829B2 (en) * 2006-06-06 2012-01-17 Red Hat, Inc. Methods and systems for secure key delivery
US8364952B2 (en) 2006-06-06 2013-01-29 Red Hat, Inc. Methods and system for a key recovery plan
US8332637B2 (en) 2006-06-06 2012-12-11 Red Hat, Inc. Methods and systems for nonce generation in a token
US8180741B2 (en) 2006-06-06 2012-05-15 Red Hat, Inc. Methods and systems for providing data objects on a token
US8495380B2 (en) 2006-06-06 2013-07-23 Red Hat, Inc. Methods and systems for server-side key generation
US8099765B2 (en) 2006-06-07 2012-01-17 Red Hat, Inc. Methods and systems for remote password reset using an authentication credential managed by a third party
US8707024B2 (en) 2006-06-07 2014-04-22 Red Hat, Inc. Methods and systems for managing identity management security domains
US8412927B2 (en) 2006-06-07 2013-04-02 Red Hat, Inc. Profile framework for token processing system
US9769158B2 (en) 2006-06-07 2017-09-19 Red Hat, Inc. Guided enrollment and login for token users
US8589695B2 (en) 2006-06-07 2013-11-19 Red Hat, Inc. Methods and systems for entropy collection for server-side key generation
US8787566B2 (en) 2006-08-23 2014-07-22 Red Hat, Inc. Strong encryption
US8806219B2 (en) 2006-08-23 2014-08-12 Red Hat, Inc. Time-based function back-off
US8977844B2 (en) 2006-08-31 2015-03-10 Red Hat, Inc. Smartcard formation with authentication keys
US9038154B2 (en) 2006-08-31 2015-05-19 Red Hat, Inc. Token Registration
US8356342B2 (en) 2006-08-31 2013-01-15 Red Hat, Inc. Method and system for issuing a kill sequence for a token
US8074265B2 (en) 2006-08-31 2011-12-06 Red Hat, Inc. Methods and systems for verifying a location factor associated with a token
US8693690B2 (en) 2006-12-04 2014-04-08 Red Hat, Inc. Organizing an extensible table for storing cryptographic objects
US8813243B2 (en) 2007-02-02 2014-08-19 Red Hat, Inc. Reducing a size of a security-related data object stored on a token
US7856101B2 (en) * 2007-02-07 2010-12-21 King Fahd University Of Petroleum And Minerals Method for elliptic curve scalar multiplication
US8832453B2 (en) 2007-02-28 2014-09-09 Red Hat, Inc. Token recycling
US8639940B2 (en) 2007-02-28 2014-01-28 Red Hat, Inc. Methods and systems for assigning roles on a token
US9081948B2 (en) 2007-03-13 2015-07-14 Red Hat, Inc. Configurable smartcard
CA2692817A1 (en) 2007-07-17 2009-01-22 Certicom Corp. Method of compressing a cryptographic value
US8117447B2 (en) * 2008-01-10 2012-02-14 Industrial Technology Research Institute Authentication method employing elliptic curve cryptography
DE102008046291B4 (de) * 2008-09-08 2012-02-23 Siemens Aktiengesellschaft Effiziente Speicherung kryptographischer Parameter
KR101006358B1 (ko) 2008-11-13 2011-01-10 단국대학교 산학협력단 실수체 기반의 타원 곡선 암호 시스템 및 그 방법
CN101515853B (zh) * 2009-03-09 2011-05-04 深圳同方电子设备有限公司 信息终端及其信息安全装置
US8553878B2 (en) * 2010-04-14 2013-10-08 Apple Inc. Data transformation system using cyclic groups
US8560856B2 (en) 2010-10-01 2013-10-15 Futurewei Technologies, Inc. Lightweight secure neighbor discovery protocol for low-power and lossy networks
FR2975799B1 (fr) * 2011-05-27 2013-06-21 Oberthur Technologies Procede d'encodage cryptographique sur une courbe elliptique
EP2718844B1 (de) 2011-06-06 2019-08-07 Certicom Corp. Quadrierung von finiten binärfeldelementen
US20130091353A1 (en) * 2011-08-01 2013-04-11 General Instrument Corporation Apparatus and method for secure communication
US8745376B2 (en) 2011-10-14 2014-06-03 Certicom Corp. Verifying implicit certificates and digital signatures
US10148285B1 (en) 2012-07-25 2018-12-04 Erich Schmitt Abstraction and de-abstraction of a digital data stream
FR3001315B1 (fr) * 2013-01-18 2016-05-06 Inside Secure Procede de cryptographie comprenant une operation de multiplication par un scalaire ou une exponentiation
US10795858B1 (en) 2014-02-18 2020-10-06 Erich Schmitt Universal abstraction and de-abstraction of a digital data stream
CN106664202B (zh) 2014-06-13 2020-04-03 百可德罗德公司 提供多个设备上的加密的方法、系统和计算机可读介质
US9703979B1 (en) * 2014-06-13 2017-07-11 BicDroid Inc. Methods and computer program products for encryption key generation and management
US9553723B2 (en) * 2014-11-14 2017-01-24 Unsene, ehf. Multi-dimensional encryption
US10333696B2 (en) 2015-01-12 2019-06-25 X-Prime, Inc. Systems and methods for implementing an efficient, scalable homomorphic transformation of encrypted data with minimal data expansion and improved processing efficiency
US9635003B1 (en) * 2015-04-21 2017-04-25 The United States Of America As Represented By The Director, National Security Agency Method of validating a private-public key pair
CN109155036B (zh) 2016-02-23 2023-05-23 区块链控股有限公司 用于经由区块链控制资产有关的动作的系统及方法
KR102777896B1 (ko) 2016-02-23 2025-03-10 엔체인 홀딩스 리미티드 토큰화를 이용한 블록체인 기반 교환 방법
SG10202007907PA (en) 2016-02-23 2020-09-29 Nchain Holdings Ltd Blockchain-implemented method for control and distribution of digital content
MX2018010056A (es) 2016-02-23 2019-01-21 Nchain Holdings Ltd Un metodo y sistema para asegurar software de computadora usando un cuadro hash distribuido y una cadena de bloques.
CN109074580B (zh) 2016-02-23 2022-09-30 区块链控股有限公司 在区块链上安全转移实体的方法和系统
EP3754901A1 (de) 2016-02-23 2020-12-23 Nchain Holdings Limited Blockchain-implementiertes zählsystem und verfahren zur verwendung bei der sicheren stimmabgabe und verteilung
SG11201805542TA (en) 2016-02-23 2018-09-27 Nchain Holdings Ltd Secure multiparty loss resistant storage and transfer of cryptographic keys for blockchain based systems in conjunction with a wallet management system
KR102753021B1 (ko) 2016-02-23 2025-01-14 엔체인 홀딩스 리미티드 블록체인에서 교환을 구현하기 위한 토큰화 방법 및 시스템
US12107952B2 (en) 2016-02-23 2024-10-01 Nchain Licensing Ag Methods and systems for efficient transfer of entities on a peer-to-peer distributed ledger using the blockchain
MX2018010058A (es) 2016-02-23 2019-01-21 Nchain Holdings Ltd Metodo y sistema para la transferencia eficiente de criptomoneda asociada con un pago de nomina en una cadena de bloques que lleva a un metodo y sistema de pago de nomina automatico con base en contratos inteligentes.
GB2560274C (en) 2016-02-23 2022-06-15 Nchain Holdings Ltd Personal device security using elliptic curve cryptography for secret sharing
US10652014B2 (en) 2016-02-23 2020-05-12 nChain Holdings Limited Determining a common secret for the secure exchange of information and hierarchical, deterministic cryptographic keys
JP6995762B2 (ja) 2016-02-23 2022-01-17 エヌチェーン ホールディングス リミテッド ブロックチェーンからのデータのセキュアな抽出のための暗号方法及びシステム
IL278834B2 (en) 2016-02-23 2023-09-01 Nchain Holdings Ltd Automatic registration and management method for smart contracts based on 'block chain'
JP7249148B2 (ja) 2016-02-23 2023-03-30 エヌチェーン ライセンシング アーゲー ブロックチェーンベースユニバーサルトークン化システム
US10129026B2 (en) * 2016-05-03 2018-11-13 Certicom Corp. Method and system for cheon resistant static diffie-hellman security
US10484173B2 (en) * 2017-01-03 2019-11-19 Nxp B.V. X-only generic mapping function for PACE protocol
US11146397B2 (en) * 2017-10-31 2021-10-12 Micro Focus Llc Encoding abelian variety-based ciphertext with metadata
CN107797790B (zh) * 2017-11-03 2021-07-09 深圳职业技术学院 一种基于全一不可约多项式的有限域求逆器
US11985225B2 (en) 2018-05-14 2024-05-14 Nchain Licensing Ag Computer-implemented systems and methods for using veiled values in blockchain
GB201815396D0 (en) 2018-09-21 2018-11-07 Nchain Holdings Ltd Computer implemented system and method
TWI672932B (zh) 2018-09-27 2019-09-21 國立交通大學 基於質數陣列的後量子非對稱密鑰產生方法及系統、加密方法、解密方法及加密通訊系統
GB201909960D0 (en) 2019-07-11 2019-08-28 Nchain Holdings Ltd Computer-implemented system and method
CN118659886B (zh) * 2024-08-14 2024-11-12 北京信安世纪科技股份有限公司 数据加密方法、数据解密方法、装置、设备及存储介质

Family Cites Families (17)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2536928B1 (fr) * 1982-11-30 1989-10-06 France Etat Systeme pour chiffrer et dechiffrer des informations, du type utilisant un systeme de dechiffrement a cle publique
US4745568A (en) * 1986-12-16 1988-05-17 Onyszchuk Ivan M Computational method and apparatus for finite field multiplication
EP0246823A3 (en) * 1986-05-22 1989-10-04 Racal-Guardata Limited Data communication systems and methods
US4748668A (en) * 1986-07-09 1988-05-31 Yeda Research And Development Company Limited Method, apparatus and article for identification and signature
US5218637A (en) * 1987-09-07 1993-06-08 L'etat Francais Represente Par Le Ministre Des Postes, Des Telecommunications Et De L'espace Method of transferring a secret, by the exchange of two certificates between two microcomputers which establish reciprocal authorization
EP0364627B1 (de) * 1988-10-18 1996-08-28 Koninklijke Philips Electronics N.V. Datenverarbeitungsgerät zur Berechnung eines multiplikativ invertierten Elements eines endigen Körpers
GB9008362D0 (en) * 1990-04-12 1990-06-13 Hackremco No 574 Limited Banking computer system
EP0482233B1 (de) * 1990-10-24 1995-03-08 Omnisec Ag Geheimübertragungssystem mit Möglichkeit zur verschlüsselten Kommunikation zwischen Benutzern mit gesichertem Schlüssel, welcher ohne Benutzereinwirkung bestimmt wird
ATE128297T1 (de) * 1991-03-14 1995-10-15 Omnisec Ag Verschlüsselungssystem mit öffentlichem schlüssel unter verwendung elliptischer kurven über ringe.
US5351297A (en) * 1991-06-28 1994-09-27 Matsushita Electric Industrial Co., Ltd. Method of privacy communication using elliptic curves
US5272755A (en) * 1991-06-28 1993-12-21 Matsushita Electric Industrial Co., Ltd. Public key cryptosystem with an elliptic curve
US5159632A (en) * 1991-09-17 1992-10-27 Next Computer, Inc. Method and apparatus for public key exchange in a cryptographic system
US5271061A (en) * 1991-09-17 1993-12-14 Next Computer, Inc. Method and apparatus for public key exchange in a cryptographic system
US5396558A (en) * 1992-09-18 1995-03-07 Nippon Telegraph And Telephone Corporation Method and apparatus for settlement of accounts by IC cards
US5442707A (en) * 1992-09-28 1995-08-15 Matsushita Electric Industrial Co., Ltd. Method for generating and verifying electronic signatures and privacy communication using elliptic curves
US5627893A (en) * 1992-12-22 1997-05-06 Telstra Corporation Limited Cryptographic method
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

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WO1996004602A1 (en) 1996-02-15
EP0804758A1 (de) 1997-11-05
US6618483B1 (en) 2003-09-09
DE69534603T2 (de) 2006-08-03
US6141420A (en) 2000-10-31
EP0804758B1 (de) 2005-11-09
AU3073595A (en) 1996-03-04

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