BRPI0404122A - Uso de isogenias para o desenho de criptossistemas - Google Patents

Uso de isogenias para o desenho de criptossistemas

Info

Publication number
BRPI0404122A
BRPI0404122A BR0404122-4A BRPI0404122A BRPI0404122A BR PI0404122 A BRPI0404122 A BR PI0404122A BR PI0404122 A BRPI0404122 A BR PI0404122A BR PI0404122 A BRPI0404122 A BR PI0404122A
Authority
BR
Brazil
Prior art keywords
isogenies
presented
techniques
solutions
public key
Prior art date
Application number
BR0404122-4A
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 BRPI0404122A publication Critical patent/BRPI0404122A/pt

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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 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
    • H04L9/08—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)
  • 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)

Abstract

"USO DE ISOGENIAS PARA O DESENHO DE CRIPTOSSISTEMAS". São apresentadas técnicas para prover sistemas de criptografia de chave pública. Mais particularmente, isogenias de variedades Abelianas (por exemplo, curvas elípticas em casos unidimensionais) são utilizadas de modo a prover sistemas de criptografia de chave pública. Por exemplo, as isogenias permitem o uso de múltiplas curvas ao invés de uma curva única a fim de prover uma criptografia mais segura. As técnicas podem ser aplicadas em assinaturas digitais e/ou em soluções de criptografia baseada em identidade (IBE) . Além disso, as isogenias podem ser usadas em outras aplicações, como, por exemplo, em assinaturas cegas, sistemas hierárquicos, ou coisa do gênero. Adicionalmente, soluções são apresentadas para a geração das isogenias.
BR0404122-4A 2003-11-03 2004-09-20 Uso de isogenias para o desenho de criptossistemas BRPI0404122A (pt)

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
BRPI0404122A true BRPI0404122A (pt) 2005-06-21

Family

ID=34426337

Family Applications (1)

Application Number Title Priority Date Filing Date
BR0404122-4A BRPI0404122A (pt) 2003-11-03 2004-09-20 Uso de isogenias para o desenho de criptossistemas

Country Status (19)

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

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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
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 (en) 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 (en) 2005-05-04
SG111191A1 (en) 2005-05-30
CA2483486C (en) 2013-12-24
MXPA04010155A (es) 2005-05-17
JP2005141200A (ja) 2005-06-02
NO20044028L (no) 2005-05-04

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