ATE360853T1 - Verbesserte inversionsberechnungen - Google Patents

Verbesserte inversionsberechnungen

Info

Publication number
ATE360853T1
ATE360853T1 AT04736544T AT04736544T ATE360853T1 AT E360853 T1 ATE360853 T1 AT E360853T1 AT 04736544 T AT04736544 T AT 04736544T AT 04736544 T AT04736544 T AT 04736544T AT E360853 T1 ATE360853 T1 AT E360853T1
Authority
AT
Austria
Prior art keywords
improved inversion
inversion calculations
calculations
improved
invariences
Prior art date
Application number
AT04736544T
Other languages
English (en)
Inventor
Gerardus T M Hubert
Rijnswou Sander M Van
Original Assignee
Koninkl Philips Electronics Nv
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 Koninkl Philips Electronics Nv filed Critical Koninkl Philips Electronics Nv
Application granted granted Critical
Publication of ATE360853T1 publication Critical patent/ATE360853T1/de

Links

Classifications

    • 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
    • G06F7/721—Modular inversion, reciprocal or quotient calculation
    • 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
    • G06F7/726—Inversion; Reciprocal calculation; Division of elements of a finite field

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Complex Calculations (AREA)
  • Mold Materials And Core Materials (AREA)
  • Stored Programmes (AREA)
  • Organic Low-Molecular-Weight Compounds And Preparation Thereof (AREA)
  • Synchronisation In Digital Transmission Systems (AREA)
  • Lock And Its Accessories (AREA)
AT04736544T 2003-06-21 2004-06-10 Verbesserte inversionsberechnungen ATE360853T1 (de)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
GBGB0314562.0A GB0314562D0 (en) 2003-06-21 2003-06-21 Improved inversion calculations

Publications (1)

Publication Number Publication Date
ATE360853T1 true ATE360853T1 (de) 2007-05-15

Family

ID=27637130

Family Applications (1)

Application Number Title Priority Date Filing Date
AT04736544T ATE360853T1 (de) 2003-06-21 2004-06-10 Verbesserte inversionsberechnungen

Country Status (8)

Country Link
US (1) US20070016635A1 (de)
EP (1) EP1639448B1 (de)
JP (1) JP2007520728A (de)
CN (1) CN1809807B (de)
AT (1) ATE360853T1 (de)
DE (1) DE602004006126T2 (de)
GB (1) GB0314562D0 (de)
WO (1) WO2004114123A2 (de)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8020142B2 (en) * 2006-12-14 2011-09-13 Intel Corporation Hardware accelerator
CN103389965B (zh) * 2013-07-05 2016-04-20 福建升腾资讯有限公司 一种实现sm2密码体制的大整数求乘逆方法
JP7414675B2 (ja) * 2020-09-11 2024-01-16 キオクシア株式会社 逆元演算装置及びメモリシステム

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
IL121297A0 (en) * 1997-07-14 1998-02-22 L P K Information Integrity Lt A method and apparatus for the efficient execution of elliptic curve cryptographic operations
IL135247A0 (en) * 2000-03-23 2003-06-24 Cipherit Ltd Method and apparatus for the calculation of modular multiplicative inverses

Also Published As

Publication number Publication date
JP2007520728A (ja) 2007-07-26
WO2004114123A3 (en) 2005-03-24
GB0314562D0 (en) 2003-07-30
US20070016635A1 (en) 2007-01-18
WO2004114123A2 (en) 2004-12-29
DE602004006126D1 (de) 2007-06-06
CN1809807B (zh) 2012-05-09
CN1809807A (zh) 2006-07-26
EP1639448B1 (de) 2007-04-25
EP1639448A2 (de) 2006-03-29
DE602004006126T2 (de) 2007-12-27

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Legal Events

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