ATE372541T1 - Verbessertes gerät und verfahren für modulare multiplikation und exponentation basierend auf montgomerymultiplikation - Google Patents

Verbessertes gerät und verfahren für modulare multiplikation und exponentation basierend auf montgomerymultiplikation

Info

Publication number
ATE372541T1
ATE372541T1 AT98910967T AT98910967T ATE372541T1 AT E372541 T1 ATE372541 T1 AT E372541T1 AT 98910967 T AT98910967 T AT 98910967T AT 98910967 T AT98910967 T AT 98910967T AT E372541 T1 ATE372541 T1 AT E372541T1
Authority
AT
Austria
Prior art keywords
multiplication
modular
exponentation
improved apparatus
montgomery
Prior art date
Application number
AT98910967T
Other languages
English (en)
Inventor
Isaac Hadad
Benjamin Arazi
Carmi Gressel
Itai Dror
Original Assignee
Milsys Ltd
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
Priority claimed from IL12077697A external-priority patent/IL120776A0/xx
Priority claimed from IL12131197A external-priority patent/IL121311A/xx
Application filed by Milsys Ltd filed Critical Milsys Ltd
Application granted granted Critical
Publication of ATE372541T1 publication Critical patent/ATE372541T1/de

Links

Classifications

    • 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
    • G06F7/728Methods 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 using Montgomery reduction

Landscapes

  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Complex Calculations (AREA)
  • Signal Processing For Digital Recording And Reproducing (AREA)
  • Error Detection And Correction (AREA)
AT98910967T 1997-05-04 1998-03-29 Verbessertes gerät und verfahren für modulare multiplikation und exponentation basierend auf montgomerymultiplikation ATE372541T1 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
IL12077697A IL120776A0 (en) 1997-05-04 1997-05-04 Apparatus and methods for modular multiplication and exponentiation based on montgomery multiplication
IL12131197A IL121311A (en) 1997-07-14 1997-07-14 Apparatus and method for modular multiplication and exponentiation based on montgomery multiplication

Publications (1)

Publication Number Publication Date
ATE372541T1 true ATE372541T1 (de) 2007-09-15

Family

ID=26323418

Family Applications (1)

Application Number Title Priority Date Filing Date
AT98910967T ATE372541T1 (de) 1997-05-04 1998-03-29 Verbessertes gerät und verfahren für modulare multiplikation und exponentation basierend auf montgomerymultiplikation

Country Status (9)

Country Link
US (1) US6185596B1 (de)
EP (1) EP1008026B1 (de)
JP (2) JP2001527673A (de)
KR (1) KR100684134B1 (de)
AT (1) ATE372541T1 (de)
AU (1) AU6516498A (de)
DE (1) DE69838390T2 (de)
ES (1) ES2293677T3 (de)
WO (1) WO1998050851A1 (de)

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CN103699358B (zh) * 2013-12-05 2016-11-23 西安交通大学 一种适用于大数的快速模平方运算电路
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Also Published As

Publication number Publication date
US6185596B1 (en) 2001-02-06
DE69838390T2 (de) 2008-05-29
KR100684134B1 (ko) 2007-02-16
KR20010012222A (ko) 2001-02-15
EP1008026B1 (de) 2007-09-05
WO1998050851A1 (en) 1998-11-12
JP2009230153A (ja) 2009-10-08
AU6516498A (en) 1998-11-27
EP1008026A1 (de) 2000-06-14
EP1008026A4 (de) 2000-06-14
JP2001527673A (ja) 2001-12-25
DE69838390D1 (de) 2007-10-18
ES2293677T3 (es) 2008-03-16

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