ATE246418T1 - Aufbau eines zyklotomischen polynoms eines kryptosystems basierend auf dem diskreten logarithmus über endliche körper - Google Patents

Aufbau eines zyklotomischen polynoms eines kryptosystems basierend auf dem diskreten logarithmus über endliche körper

Info

Publication number
ATE246418T1
ATE246418T1 AT97945298T AT97945298T ATE246418T1 AT E246418 T1 ATE246418 T1 AT E246418T1 AT 97945298 T AT97945298 T AT 97945298T AT 97945298 T AT97945298 T AT 97945298T AT E246418 T1 ATE246418 T1 AT E246418T1
Authority
AT
Austria
Prior art keywords
cyclotomic
discrete logarithm
polynom
construction
public key
Prior art date
Application number
AT97945298T
Other languages
English (en)
Inventor
Arjen K Lenstra
Original Assignee
Citibank Na
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 Citibank Na filed Critical Citibank Na
Application granted granted Critical
Publication of ATE246418T1 publication Critical patent/ATE246418T1/de

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
    • H04L9/3006—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy underlying computational problems or public-key parameters
    • H04L9/3013—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy underlying computational problems or public-key parameters involving the discrete logarithm problem, e.g. ElGamal or Diffie-Hellman systems
    • 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
    • H04L9/3252—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 DSA or related signature schemes, e.g. elliptic based signatures, ElGamal or Schnorr schemes

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Computing Systems (AREA)
  • Theoretical Computer Science (AREA)
  • Storage Device Security (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Lock And Its Accessories (AREA)
  • Saccharide Compounds (AREA)
  • Crystals, And After-Treatments Of Crystals (AREA)
  • Error Detection And Correction (AREA)
  • Complex Calculations (AREA)
AT97945298T 1997-02-14 1997-09-26 Aufbau eines zyklotomischen polynoms eines kryptosystems basierend auf dem diskreten logarithmus über endliche körper ATE246418T1 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US80066997A 1997-02-14 1997-02-14
PCT/US1997/017304 WO1998036526A1 (en) 1997-02-14 1997-09-26 Cyclotomic polynomial construction of discrete logarithm cryptosystems over finite fields

Publications (1)

Publication Number Publication Date
ATE246418T1 true ATE246418T1 (de) 2003-08-15

Family

ID=25179039

Family Applications (1)

Application Number Title Priority Date Filing Date
AT97945298T ATE246418T1 (de) 1997-02-14 1997-09-26 Aufbau eines zyklotomischen polynoms eines kryptosystems basierend auf dem diskreten logarithmus über endliche körper

Country Status (10)

Country Link
US (1) US6665405B1 (de)
EP (1) EP0963635B1 (de)
JP (1) JP2001511912A (de)
KR (1) KR20000071078A (de)
CN (2) CN101087195A (de)
AT (1) ATE246418T1 (de)
AU (1) AU719462B2 (de)
CA (1) CA2280775C (de)
DE (1) DE69723872D1 (de)
WO (1) WO1998036526A1 (de)

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US7650314B1 (en) 2001-05-25 2010-01-19 American Express Travel Related Services Company, Inc. System and method for securing a recurrent billing transaction
US8960535B2 (en) 2001-07-10 2015-02-24 Iii Holdings 1, Llc Method and system for resource management and evaluation
US20040236699A1 (en) 2001-07-10 2004-11-25 American Express Travel Related Services Company, Inc. Method and system for hand geometry recognition biometrics on a fob
US7360689B2 (en) 2001-07-10 2008-04-22 American Express Travel Related Services Company, Inc. Method and system for proffering multiple biometrics for use with a FOB
US7119659B2 (en) 2001-07-10 2006-10-10 American Express Travel Related Services Company, Inc. Systems and methods for providing a RF transaction device for use in a private label transaction
US7827106B2 (en) 2001-07-10 2010-11-02 American Express Travel Related Services Company, Inc. System and method for manufacturing a punch-out RFID transaction device
US9031880B2 (en) 2001-07-10 2015-05-12 Iii Holdings 1, Llc Systems and methods for non-traditional payment using biometric data
US8294552B2 (en) 2001-07-10 2012-10-23 Xatra Fund Mx, Llc Facial scan biometrics on a payment device
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US9454752B2 (en) 2001-07-10 2016-09-27 Chartoleaux Kg Limited Liability Company Reload protocol at a transaction processing entity
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JP4548223B2 (ja) * 2005-05-27 2010-09-22 日本電気株式会社 擬似ランダム関数計算装置及び方法、並びに回数制限匿名認証システム及び方法
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CN101008937B (zh) * 2007-02-06 2010-05-19 中国科学院研究生院 提高有限域上乘法以及大矩阵消元的计算速度的方法
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JP6413598B2 (ja) * 2014-10-10 2018-10-31 富士通株式会社 暗号処理方法、暗号処理装置、及び暗号処理プログラム
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Also Published As

Publication number Publication date
EP0963635B1 (de) 2003-07-30
US6665405B1 (en) 2003-12-16
KR20000071078A (ko) 2000-11-25
CA2280775C (en) 2002-11-19
CN1251715A (zh) 2000-04-26
EP0963635A1 (de) 1999-12-15
WO1998036526A1 (en) 1998-08-20
CA2280775A1 (en) 1998-08-20
CN101087195A (zh) 2007-12-12
AU719462B2 (en) 2000-05-11
DE69723872D1 (de) 2003-09-04
AU4653097A (en) 1998-09-08
CN1326351C (zh) 2007-07-11
JP2001511912A (ja) 2001-08-14

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