HK1085585A1 - Use of isogenies for design of cryptosystems - Google Patents

Use of isogenies for design of cryptosystems

Info

Publication number
HK1085585A1
HK1085585A1 HK05108290.5A HK05108290A HK1085585A1 HK 1085585 A1 HK1085585 A1 HK 1085585A1 HK 05108290 A HK05108290 A HK 05108290A HK 1085585 A1 HK1085585 A1 HK 1085585A1
Authority
HK
Hong Kong
Prior art keywords
isogenies
isogeny
techniques
key
encryption
Prior art date
Application number
HK05108290.5A
Other languages
English (en)
Inventor
David 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 HK1085585A1 publication Critical patent/HK1085585A1/xx

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
    • 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
    • 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
    • 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)
HK05108290.5A 2003-11-03 2005-09-22 Use of isogenies for design of cryptosystems HK1085585A1 (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
HK1085585A1 true HK1085585A1 (en) 2006-08-25

Family

ID=34426337

Family Applications (1)

Application Number Title Priority Date Filing Date
HK05108290.5A HK1085585A1 (en) 2003-11-03 2005-09-22 Use of isogenies for design of cryptosystems

Country Status (20)

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

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Also Published As

Publication number Publication date
CN1614922A (zh) 2005-05-11
CA2483486C (en) 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
NO20044028L (no) 2005-05-04
US20050094806A1 (en) 2005-05-05
BRPI0404122A (pt) 2005-06-21
EP1528705A1 (en) 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 (en) 2009-04-15
DE602004020565D1 (de) 2009-05-28
CA2483486A1 (en) 2005-05-03
MXPA04010155A (es) 2005-05-17
AU2004218638B2 (en) 2009-07-30

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PC Patent ceased (i.e. patent has lapsed due to the failure to pay the renewal fee)

Effective date: 20190810