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)
  • Computer Security & Cryptography (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Storage Device Security (AREA)
  • Glass Compositions (AREA)
  • Dental Preparations (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
  • Financial Or Insurance-Related Operations Such As Payment And Settlement (AREA)
  • Developing Agents For Electrophotography (AREA)
  • Reverberation, Karaoke And Other Acoustics (AREA)
  • Transition And Organic Metals Composition Catalysts For Addition Polymerization (AREA)
  • Complex Calculations (AREA)
  • Devices For Checking Fares Or Tickets At Control Points (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 (ru)
EP (1) EP1528705B1 (ru)
JP (1) JP4809598B2 (ru)
KR (1) KR101098701B1 (ru)
CN (1) CN100583755C (ru)
AT (1) ATE429098T1 (ru)
AU (1) AU2004218638B2 (ru)
BR (1) BRPI0404122A (ru)
CA (1) CA2483486C (ru)
CO (1) CO5630049A1 (ru)
DE (1) DE602004020565D1 (ru)
HK (1) HK1085585A1 (ru)
IL (1) IL164071A0 (ru)
MX (1) MXPA04010155A (ru)
MY (1) MY165770A (ru)
NO (1) NO20044028L (ru)
NZ (1) NZ535698A (ru)
RU (1) RU2376651C2 (ru)
SG (1) SG111191A1 (ru)
TW (1) TWI360990B (ru)

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AU2017223158B2 (en) 2016-02-23 2022-03-31 nChain Holdings Limited Blockchain-implemented method for control and distribution of digital content
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CN116934328A (zh) 2016-02-23 2023-10-24 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***及方法
CN115391749A (zh) 2016-02-23 2022-11-25 区块链控股有限公司 使用分布式散列表和区块链保护计算机软件的方法及***
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Also Published As

Publication number Publication date
MXPA04010155A (es) 2005-05-17
CN100583755C (zh) 2010-01-20
EP1528705B1 (en) 2009-04-15
EP1528705A1 (en) 2005-05-04
SG111191A1 (en) 2005-05-30
KR20050042441A (ko) 2005-05-09
CA2483486C (en) 2013-12-24
CO5630049A1 (es) 2006-04-28
US7499544B2 (en) 2009-03-03
TWI360990B (en) 2012-03-21
JP2005141200A (ja) 2005-06-02
AU2004218638A1 (en) 2005-05-19
IL164071A0 (en) 2005-12-18
CA2483486A1 (en) 2005-05-03
MY165770A (en) 2018-04-23
US20050094806A1 (en) 2005-05-05
NZ535698A (en) 2006-02-24
AU2004218638B2 (en) 2009-07-30
KR101098701B1 (ko) 2011-12-23
ATE429098T1 (de) 2009-05-15
CN1614922A (zh) 2005-05-11
RU2376651C2 (ru) 2009-12-20
JP4809598B2 (ja) 2011-11-09
DE602004020565D1 (de) 2009-05-28
HK1085585A1 (en) 2006-08-25
TW200525979A (en) 2005-08-01
RU2004132057A (ru) 2006-04-10
BRPI0404122A (pt) 2005-06-21

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