DE69032811D1 - Verfahren und System zur modularen Multiplikation - Google Patents

Verfahren und System zur modularen Multiplikation

Info

Publication number
DE69032811D1
DE69032811D1 DE69032811T DE69032811T DE69032811D1 DE 69032811 D1 DE69032811 D1 DE 69032811D1 DE 69032811 T DE69032811 T DE 69032811T DE 69032811 T DE69032811 T DE 69032811T DE 69032811 D1 DE69032811 D1 DE 69032811D1
Authority
DE
Germany
Prior art keywords
modular multiplication
multiplication method
modular
multiplication
Prior art date
Legal status (The legal status 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 status listed.)
Expired - Fee Related
Application number
DE69032811T
Other languages
English (en)
Other versions
DE69032811T2 (de
Inventor
Hikaru Morita
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Nippon Telegraph and Telephone Corp
Original Assignee
Nippon Telegraph and Telephone 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
Priority claimed from JP1017700A external-priority patent/JPH02199532A/ja
Priority claimed from JP1147795A external-priority patent/JP2812365B2/ja
Priority claimed from JP20697389A external-priority patent/JP2790327B2/ja
Application filed by Nippon Telegraph and Telephone Corp filed Critical Nippon Telegraph and Telephone Corp
Publication of DE69032811D1 publication Critical patent/DE69032811D1/de
Application granted granted Critical
Publication of DE69032811T2 publication Critical patent/DE69032811T2/de
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Classifications

    • 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
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/4824—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices using signed-digit representation
    • 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
    • G06F7/722—Modular multiplication

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)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Complex Calculations (AREA)
DE69032811T 1989-01-30 1990-01-30 Verfahren und System zur modularen Multiplikation Expired - Fee Related DE69032811T2 (de)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
JP1017700A JPH02199532A (ja) 1989-01-30 1989-01-30 剰余乗算の方法および回路
JP1147795A JP2812365B2 (ja) 1989-06-09 1989-06-09 乗算回路
JP20697389A JP2790327B2 (ja) 1989-08-11 1989-08-11 剰余乗算回路および剰余乗算方法

Publications (2)

Publication Number Publication Date
DE69032811D1 true DE69032811D1 (de) 1999-01-21
DE69032811T2 DE69032811T2 (de) 1999-04-29

Family

ID=27281933

Family Applications (1)

Application Number Title Priority Date Filing Date
DE69032811T Expired - Fee Related DE69032811T2 (de) 1989-01-30 1990-01-30 Verfahren und System zur modularen Multiplikation

Country Status (4)

Country Link
US (1) US5073870A (de)
EP (1) EP0381161B1 (de)
CA (1) CA2008774C (de)
DE (1) DE69032811T2 (de)

Families Citing this family (33)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5270956A (en) * 1991-03-18 1993-12-14 University Of Maryland System and method for performing fast algebraic operations on a permutation network
US5274707A (en) * 1991-12-06 1993-12-28 Roger Schlafly Modular exponentiation and reduction device and method
WO1993020503A1 (en) * 1992-04-07 1993-10-14 Thomson Consumer Electronics S.A. Method and apparatus for modulo computation
US5513133A (en) * 1992-11-30 1996-04-30 Fortress U&T Ltd. Compact microelectronic device for performing modular multiplication and exponentiation over large numbers
US5349551A (en) * 1993-07-30 1994-09-20 The United States Of America As Represented By The Director Of National Security Agency Device for and method of preforming an N-bit modular multiplication in approximately N/2 steps
FR2726667B1 (fr) * 1994-11-08 1997-01-17 Sgs Thomson Microelectronics Procede de mise en oeuvre de multiplication modulaire selon la methode montgomery
CN1085862C (zh) * 1996-09-20 2002-05-29 张胤微 高速模乘法装置
US5793659A (en) * 1996-10-15 1998-08-11 United Microelectronics Corporation Method of modular reduction and modular reduction circuit
KR100218683B1 (ko) * 1996-12-04 1999-09-01 정선종 정보 보호용 모듈러 승산 장치
ES2293677T3 (es) * 1997-05-04 2008-03-16 Sandisk Il Ltd Aparato y metodo mejorados para la multiplicacion y exponenciacion modulares basadas en la multiplicacion de montgomery.
US6748410B1 (en) 1997-05-04 2004-06-08 M-Systems Flash Disk Pioneers, Ltd. Apparatus and method for modular multiplication and exponentiation based on montgomery multiplication
US6144740A (en) * 1998-05-20 2000-11-07 Network Security Technology Co. Method for designing public key cryptosystems against fault-based attacks with an implementation
US7269261B1 (en) 1999-09-22 2007-09-11 Raytheon Company Key escrow systems
US6925563B1 (en) 1999-09-22 2005-08-02 Raytheon Company Multiplication of modular numbers
CN1265280C (zh) 2000-05-15 2006-07-19 艾蒙系统股份有限公司 扩展整数的计算域的范围
US6954772B2 (en) * 2000-08-28 2005-10-11 Sun Microsystems, Inc Method and apparatus for performing modular division
KR100436814B1 (ko) * 2001-12-20 2004-06-23 한국전자통신연구원 아이씨카드용 알에스에이 암호 연산 장치
US7558817B2 (en) 2002-04-29 2009-07-07 Infineon Technologies Ag Apparatus and method for calculating a result of a modular multiplication
DE10219158B4 (de) * 2002-04-29 2004-12-09 Infineon Technologies Ag Vorrichtung und Verfahren zum Berechnen eines Ergebnisses einer modularen Multiplikation
DE10223853B4 (de) * 2002-05-28 2005-06-23 Technische Universität Braunschweig Carolo-Wilhelmina Verfahren und integrierte Schaltung zur Durchführung einer Multiplikation modulo M
KR100459732B1 (ko) * 2002-12-30 2004-12-03 삼성전자주식회사 4-2 컴프레서를 이용한 몽고메리 모듈러 승산기 및 그승산 방법
SG115534A1 (en) * 2003-04-04 2005-10-28 St Microelectronics Asia Method and apparatus for performing modular arithmetic
US20040252829A1 (en) * 2003-04-25 2004-12-16 Hee-Kwan Son Montgomery modular multiplier and method thereof using carry save addition
FR2859030B1 (fr) * 2003-08-21 2005-11-04 Gemplus Card Int Procede de realisation d'une multiplication modulaire et procede de realisation d'une multiplication euclidienne sur des nombres de 2n bits
JP4170267B2 (ja) * 2004-07-09 2008-10-22 Ｎｅｃエレクトロニクス株式会社 乗算剰余演算器及び情報処理装置
JP4180024B2 (ja) * 2004-07-09 2008-11-12 Ｎｅｃエレクトロニクス株式会社 乗算剰余演算器及び情報処理装置
DE102006025677B4 (de) * 2005-10-28 2020-03-12 Infineon Technologies Ag Vorrichtung und Verfahren zum Berechnen eines Ergebnisses einer Summe mit einem Rechenwerk mit begrenzter Wortlänge
DE102006025713B9 (de) * 2005-10-28 2013-10-17 Infineon Technologies Ag Kryptographie-Vorrichtung und Kryptographie-Verfahren zum Berechnen eines Ergebnisses einer modularen Multiplikation
DE102006025569A1 (de) * 2005-10-28 2007-05-03 Infineon Technologies Ag Vorrichtung und Verfahren zum Berechnen einer Multiplikations-Additions-Operation und zum Berechnen eines Ergebnisses einer modularen Multiplikation
DE102006025673B9 (de) * 2005-10-28 2010-12-16 Infineon Technologies Ag Rechenwerk zum Reduzieren einer Eingabe-Zahl bezüglich eines Moduls
US8073892B2 (en) * 2005-12-30 2011-12-06 Intel Corporation Cryptographic system, method and multiplier
DE102014222825A1 (de) * 2014-11-07 2016-05-12 Ihp Gmbh - Innovations For High Performance Microelectronics / Leibniz-Institut Für Innovative Mikroelektronik Vorrichtung und Verfahren zur Multiplikation zur Erschwerung von Seitenkanalangriffen
BR112019011598A2 (pt) * 2016-12-12 2019-10-22 Koninklijke Philips Nv dispositivo eletrônico de cálculo, método eletrônico de cálculo, e mídia legível por computador

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS54144148A (en) * 1978-05-01 1979-11-10 Aisuke Katayama Exponential conversion type high speed multiplying system
JPS6042965B2 (ja) * 1979-06-01 1985-09-26 愛介 片山 複数法形高速乗算装置

Also Published As

Publication number Publication date
US5073870A (en) 1991-12-17
EP0381161A2 (de) 1990-08-08
CA2008774A1 (en) 1990-07-30
CA2008774C (en) 1999-10-05
EP0381161B1 (de) 1998-12-09
EP0381161A3 (de) 1992-03-25
DE69032811T2 (de) 1999-04-29

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Legal Events

Date Code Title Description
8364 No opposition during term of opposition
8339 Ceased/non-payment of the annual fee