ATE128297T1 - Verschlüsselungssystem mit öffentlichem schlüssel unter verwendung elliptischer kurven über ringe. - Google Patents

Verschlüsselungssystem mit öffentlichem schlüssel unter verwendung elliptischer kurven über ringe.

Info

Publication number
ATE128297T1
ATE128297T1 AT91103933T AT91103933T ATE128297T1 AT E128297 T1 ATE128297 T1 AT E128297T1 AT 91103933 T AT91103933 T AT 91103933T AT 91103933 T AT91103933 T AT 91103933T AT E128297 T1 ATE128297 T1 AT E128297T1
Authority
AT
Austria
Prior art keywords
computing
selecting
mod
multiplier
integers
Prior art date
Application number
AT91103933T
Other languages
English (en)
Inventor
Ueli Maurer
Original Assignee
Omnisec Ag
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 Omnisec Ag filed Critical Omnisec Ag
Application granted granted Critical
Publication of ATE128297T1 publication Critical patent/ATE128297T1/de

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
    • G06F7/725—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
    • 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
    • H04L9/3234—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 additional secure or trusted devices, e.g. TPM, smartcard, USB or software token
    • 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
    • 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
    • H04L2209/08—Randomization, e.g. dummy operations or using noise
    • 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
    • H04L2209/72—Signcrypting, i.e. digital signing and encrypting simultaneously

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computer Networks & Wireless Communication (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)
  • Computer And Data Communications (AREA)
  • Data Exchanges In Wide-Area Networks (AREA)
  • Complex Calculations (AREA)
  • Lock And Its Accessories (AREA)
  • Error Detection And Correction (AREA)
AT91103933T 1991-03-14 1991-03-14 Verschlüsselungssystem mit öffentlichem schlüssel unter verwendung elliptischer kurven über ringe. ATE128297T1 (de)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
EP91103933A EP0503119B1 (de) 1991-03-14 1991-03-14 Verschlüsselungssystem mit öffentlichem Schlüssel unter Verwendung elliptischer Kurven über Ringe

Publications (1)

Publication Number Publication Date
ATE128297T1 true ATE128297T1 (de) 1995-10-15

Family

ID=8206517

Family Applications (1)

Application Number Title Priority Date Filing Date
AT91103933T ATE128297T1 (de) 1991-03-14 1991-03-14 Verschlüsselungssystem mit öffentlichem schlüssel unter verwendung elliptischer kurven über ringe.

Country Status (4)

Country Link
US (1) US5146500A (de)
EP (1) EP0503119B1 (de)
AT (1) ATE128297T1 (de)
DE (1) DE69113245D1 (de)

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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
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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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US5870470A (en) * 1996-02-20 1999-02-09 International Business Machines Corporation Method and apparatus for encrypting long blocks using a short-block encryption procedure
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US7567669B2 (en) 1996-05-17 2009-07-28 Certicom Corp. Strengthened public key protocol
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US7292693B1 (en) 1998-08-13 2007-11-06 Teledyne Technologies Incorporated Deterministically generating block substitution tables which meet a given standard of nonlinearity
US7483699B2 (en) * 1998-09-22 2009-01-27 Qualcomm Incorporated Overhead message update with decentralized control
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US6611597B1 (en) 1999-01-25 2003-08-26 Matsushita Electric Industrial Co., Ltd. Method and device for constructing elliptic curves
US7519178B1 (en) * 1999-02-24 2009-04-14 International Business Machines Corporation Method, system and apparatus for ensuring a uniform distribution in key generation
JP3833412B2 (ja) 1999-04-09 2006-10-11 富士通株式会社 有限体演算における表現データ生成装置および方法
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US20020041683A1 (en) * 2000-09-29 2002-04-11 Hopkins Dale W. Method for selecting optimal number of prime factors of a modulus for use in a cryptographic system
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US7840806B2 (en) * 2002-10-16 2010-11-23 Enterprise Information Management, Inc. System and method of non-centralized zero knowledge authentication for a computer network
US8239917B2 (en) * 2002-10-16 2012-08-07 Enterprise Information Management, Inc. Systems and methods for enterprise security with collaborative peer to peer architecture
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US8705740B2 (en) 2008-12-30 2014-04-22 King Fahd University Of Petroleum And Minerals Elliptic curve-based message authentication code system and method
US8170203B2 (en) * 2008-12-31 2012-05-01 King Fahd University Of Petroleum & Minerals Message authentication code with elliptic polynomial hopping
US8189771B2 (en) 2009-01-12 2012-05-29 King Fahd University Of Petroleum & Minerals Hash functions with elliptic polynomial hopping
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CN105915514B (zh) * 2016-04-13 2020-09-11 中国电力科学研究院 计量用合并单元加密验证装置及方法
JP7031580B2 (ja) * 2016-05-23 2022-03-08 ソニーグループ株式会社 暗号化装置、暗号化方法、復号化装置、及び復号化方法
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CN113868607B (zh) * 2021-09-07 2024-10-18 中国联合网络通信集团有限公司 一种一次性身份标识使用方法及装置
IT202300025482A1 (it) 2023-11-29 2025-05-29 Massimo Bertaccini Sistema per la trasmissione di un messaggio criptato tramite canale quantistico e relativo metodo

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Also Published As

Publication number Publication date
US5146500A (en) 1992-09-08
DE69113245D1 (de) 1995-10-26
EP0503119B1 (de) 1995-09-20
EP0503119A1 (de) 1992-09-16

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