CO5630049A1 - Uso de isogenos para el diseño de criptosistemas - Google Patents

Uso de isogenos para el diseño de criptosistemas

Info

Publication number
CO5630049A1
CO5630049A1 CO04094973A CO04094973A CO5630049A1 CO 5630049 A1 CO5630049 A1 CO 5630049A1 CO 04094973 A CO04094973 A CO 04094973A CO 04094973 A CO04094973 A CO 04094973A CO 5630049 A1 CO5630049 A1 CO 5630049A1
Authority
CO
Colombia
Prior art keywords
isogen
generation
cited
key corresponding
encryption
Prior art date
Application number
CO04094973A
Other languages
English (en)
Inventor
David Y Jao
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 CO5630049A1 publication Critical patent/CO5630049A1/es

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)
  • General Physics & Mathematics (AREA)
  • Computer Security & Cryptography (AREA)
  • Physics & Mathematics (AREA)
  • Signal Processing (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Computing Systems (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Storage Device Security (AREA)
  • Dental Preparations (AREA)
  • Glass Compositions (AREA)
  • Mobile Radio Communication Systems (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)

Abstract

Un método comprende:generando un isógeno que traza una pluralidad de puntos desde una primera curva elíptica hacia una segunda curva elíptica;publicando una clave pública que corresponde al isógeno;encriptando un mensaje que usa una clave de encriptación que corresponde al isógeno; yque descifra el mensaje encriptado que usa una clave de descencriptación correspondiendo al isógeno. Un método como el citado por la reivindicación 1 , en qué por lo menos una clave de encriptación o de descencriptación es una clave privada, la clave privada siendo un isógeno dual del isógeno. Un método como el citado por la reivindicación 1, en donde el isógeno se genera usando una técnica seleccionada de un grupo que comprende una generación múltiple compleja, una generación modular, una generación linealmente independiente, y combinaciones de ellas. SOLICITUDES DE PATENTES DE MODELO DE UTILIDADORDENADAS PUBLICAR EN MARZO DE 2006 IMPORTANTE:SOLICITUDES DE PATENTE DE MODELO DE UTILIDAD: A partir de la fecha de publicación de esta gaceta el solicitante cuenta con un plazo de tres (3) meses para pedir que se practique el examen de patentabilidad de la solicitud, anexando el recibo de pago de la tasa correspondiente a tal fin. De no procederse así la solicitud caerá en abandono (Arts. 85 y 44 de la Decisión 486).
CO04094973A 2003-11-03 2004-09-23 Uso de isogenos para el diseño de criptosistemas CO5630049A1 (es)

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
CO5630049A1 true CO5630049A1 (es) 2006-04-28

Family

ID=34426337

Family Applications (1)

Application Number Title Priority Date Filing Date
CO04094973A CO5630049A1 (es) 2003-11-03 2004-09-23 Uso de isogenos para el diseño de criptosistemas

Country Status (20)

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

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Also Published As

Publication number Publication date
MXPA04010155A (es) 2005-05-17
CN100583755C (zh) 2010-01-20
DE602004020565D1 (de) 2009-05-28
IL164071A0 (en) 2005-12-18
EP1528705B1 (en) 2009-04-15
HK1085585A1 (en) 2006-08-25
EP1528705A1 (en) 2005-05-04
US20050094806A1 (en) 2005-05-05
KR20050042441A (ko) 2005-05-09
RU2376651C2 (ru) 2009-12-20
MY165770A (en) 2018-04-23
JP4809598B2 (ja) 2011-11-09
ATE429098T1 (de) 2009-05-15
BRPI0404122A (pt) 2005-06-21
CA2483486A1 (en) 2005-05-03
AU2004218638A1 (en) 2005-05-19
SG111191A1 (en) 2005-05-30
JP2005141200A (ja) 2005-06-02
RU2004132057A (ru) 2006-04-10
US7499544B2 (en) 2009-03-03
KR101098701B1 (ko) 2011-12-23
CN1614922A (zh) 2005-05-11
AU2004218638B2 (en) 2009-07-30
TW200525979A (en) 2005-08-01
TWI360990B (en) 2012-03-21
CA2483486C (en) 2013-12-24
NZ535698A (en) 2006-02-24
NO20044028L (no) 2005-05-04

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