SG111191A1 - Use of isogenies for design of cryptosystems - Google Patents

Use of isogenies for design of cryptosystems

Info

Publication number
SG111191A1
SG111191A1 SG200404557A SG200404557A SG111191A1 SG 111191 A1 SG111191 A1 SG 111191A1 SG 200404557 A SG200404557 A SG 200404557A SG 200404557 A SG200404557 A SG 200404557A SG 111191 A1 SG111191 A1 SG 111191A1
Authority
SG
Singapore
Prior art keywords
isogenies
isogeny
techniques
key
encryption
Prior art date
Application number
SG200404557A
Other languages
English (en)
Inventor
Y Jao David
Venkatesan Ramarathnam
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 SG111191A1 publication Critical patent/SG111191A1/en

Links

Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3066Public 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
    • H04L9/3073Public 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
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60Methods 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
    • G06F7/72Methods 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
    • G06F7/724Finite field arithmetic
    • G06F7/725Finite field arithmetic over elliptic curves
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/08Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/32Cryptographic 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
    • H04L9/3247Cryptographic 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
    • H04L9/3257Cryptographic 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
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L2209/00Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
    • H04L2209/80Wireless

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)
  • 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)
  • Developing Agents For Electrophotography (AREA)
  • Reverberation, Karaoke And Other Acoustics (AREA)
  • Transition And Organic Metals Composition Catalysts For Addition Polymerization (AREA)
  • Complex Calculations (AREA)
SG200404557A 2003-11-03 2004-08-10 Use of isogenies for design of cryptosystems SG111191A1 (en)

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
SG111191A1 true SG111191A1 (en) 2005-05-30

Family

ID=34426337

Family Applications (1)

Application Number Title Priority Date Filing Date
SG200404557A SG111191A1 (en) 2003-11-03 2004-08-10 Use of isogenies for design of cryptosystems

Country Status (19)

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)
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)

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Also Published As

Publication number Publication date
CN100583755C (zh) 2010-01-20
RU2376651C2 (ru) 2009-12-20
TWI360990B (en) 2012-03-21
IL164071A0 (en) 2005-12-18
TW200525979A (en) 2005-08-01
BRPI0404122A (pt) 2005-06-21
JP4809598B2 (ja) 2011-11-09
US20050094806A1 (en) 2005-05-05
AU2004218638A1 (en) 2005-05-19
CO5630049A1 (es) 2006-04-28
RU2004132057A (ru) 2006-04-10
NZ535698A (en) 2006-02-24
AU2004218638B2 (en) 2009-07-30
EP1528705B1 (de) 2009-04-15
KR101098701B1 (ko) 2011-12-23
KR20050042441A (ko) 2005-05-09
US7499544B2 (en) 2009-03-03
CA2483486A1 (en) 2005-05-03
DE602004020565D1 (de) 2009-05-28
HK1085585A1 (en) 2006-08-25
ATE429098T1 (de) 2009-05-15
CN1614922A (zh) 2005-05-11
MY165770A (en) 2018-04-23
EP1528705A1 (de) 2005-05-04
CA2483486C (en) 2013-12-24
MXPA04010155A (es) 2005-05-17
JP2005141200A (ja) 2005-06-02
NO20044028L (no) 2005-05-04

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