JP4582912B2 - 耐パワーシグニチャーアタック暗号法 - Google Patents

耐パワーシグニチャーアタック暗号法 Download PDF

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JP4582912B2
JP4582912B2 JP2000578723A JP2000578723A JP4582912B2 JP 4582912 B2 JP4582912 B2 JP 4582912B2 JP 2000578723 A JP2000578723 A JP 2000578723A JP 2000578723 A JP2000578723 A JP 2000578723A JP 4582912 B2 JP4582912 B2 JP 4582912B2
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point
power signature
processor
bits
representation
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JP2002528771A (ja
JP2002528771A5 (https=
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ヴァンストーン，スコット，エー．
ギャラント，ロバート，ピー．
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サーティコム コーポレーション
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    • 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
    • G06F7/725—Finite field arithmetic over elliptic curves
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F2207/72—Indexing scheme relating to groups G06F7/72 - G06F7/729
    • G06F2207/7219—Countermeasures against side channel or fault attacks
    • G06F2207/7261—Uniform execution, e.g. avoiding jumps, or using formulae with the same power profile

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  • 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)
  • Emergency Protection Circuit Devices (AREA)
  • Executing Machine-Instructions (AREA)
  • Dc Digital Transmission (AREA)
  • Compositions Of Oxide Ceramics (AREA)
  • Control Of Eletrric Generators (AREA)
  • Control Of Electric Motors In General (AREA)
JP2000578723A 1998-10-28 1999-10-05 耐パワーシグニチャーアタック暗号法 Expired - Lifetime JP4582912B2 (ja)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
CA2,252,078 1998-10-28
CA002252078A CA2252078C (en) 1998-10-28 1998-10-28 Power signature attack resistant cryptographic system
PCT/CA1999/000919 WO2000025204A1 (en) 1998-10-28 1999-10-05 Power signature attack resistant cryptography

Publications (3)

Publication Number Publication Date
JP2002528771A JP2002528771A (ja) 2002-09-03
JP2002528771A5 JP2002528771A5 (https=) 2006-11-24
JP4582912B2 true JP4582912B2 (ja) 2010-11-17

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JP2000578723A Expired - Lifetime JP4582912B2 (ja) 1998-10-28 1999-10-05 耐パワーシグニチャーアタック暗号法

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US (1) US6738478B1 (https=)
EP (1) EP1044405B1 (https=)
JP (1) JP4582912B2 (https=)
AT (1) ATE268022T1 (https=)
AU (1) AU5964299A (https=)
CA (1) CA2252078C (https=)
DE (1) DE69917592T2 (https=)
WO (1) WO2000025204A1 (https=)

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FR2825863B1 (fr) * 2001-06-07 2003-09-19 Gemplus Card Int Procede de securisation d'un calcul d'exponentiation dans un dispositif electronique
DE10151129B4 (de) * 2001-10-17 2004-07-29 Infineon Technologies Ag Verfahren und Vorrichtung zum Berechnen eines Ergebnisses einer Exponentiation in einer Kryptographieschaltung
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JP4034585B2 (ja) * 2002-01-28 2008-01-16 松下電器産業株式会社 楕円曲線演算装置及び楕円曲線演算方法
FR2838210B1 (fr) * 2002-04-03 2005-11-04 Gemplus Card Int Procede cryptographique protege contre les attaques de type a canal cache
US7555122B2 (en) 2002-12-04 2009-06-30 Wired Communications LLC Method for elliptic curve point multiplication
JP4789468B2 (ja) * 2002-12-18 2011-10-12 富士通株式会社 秘密鍵を用いた耐タンパ楕円曲線暗号処理
US7646872B2 (en) 2004-04-02 2010-01-12 Research In Motion Limited Systems and methods to securely generate shared keys
JP5147412B2 (ja) 2005-01-21 2013-02-20 サーティコム コーポレーション 楕円曲線乱数生成
EP1879164A1 (en) * 2005-04-27 2008-01-16 Matsushita Electric Industrial Co., Ltd. Information security device and elliptic curve operating device
CA2542556C (en) 2005-06-03 2014-09-16 Tata Consultancy Services Limited An authentication system executing an elliptic curve digital signature cryptographic process
DE102005042339B4 (de) * 2005-09-06 2007-08-16 Siemens Ag Verfahren zum sicheren Ver- oder Entschlüsseln einer Nachricht
EP1946205B1 (en) 2005-10-18 2010-04-14 Telecom Italia S.p.A. A method for scalar multiplication in elliptic curve groups over prime fields for side-channel attack resistant cryptosystems
DE602005020991D1 (de) * 2005-10-28 2010-06-10 Telecom Italia Spa Verfahren zur skalarmultiplikation in gruppen ellir nebenkanalattacken-beständige kryptosysteme
DE602006021601D1 (de) * 2005-11-03 2011-06-09 Certicom Corp Verfahren zur gleichzeitigen skalarmultiplikation
FR2893796B1 (fr) * 2005-11-21 2008-01-04 Atmel Corp Procede de protection par chiffrement
US9313027B2 (en) 2005-12-29 2016-04-12 Proton World International N.V. Protection of a calculation performed by an integrated circuit
DE102006002891B4 (de) 2006-01-20 2009-06-04 Siemens Ag Verfahren, Vorrichtung und System zum Verifizieren von auf einer elliptischen Kurve ermittelten Punkten
KR100850202B1 (ko) * 2006-03-04 2008-08-04 삼성전자주식회사 Ｅｃｃ 패스트 몽고매리 전력 래더 알고리즘을 이용하여ｄｆａ 에 대응하는 암호화 방법
US8065735B2 (en) 2006-03-16 2011-11-22 Gemalto Sa Method of securing a calculation of an exponentiation or a multiplication by a scalar in an electronic device
DE102006013515A1 (de) * 2006-03-23 2007-10-04 Siemens Ag Kryptographisches Verfahren mit elliptischen Kurven
EP1840732A1 (en) * 2006-03-31 2007-10-03 Axalto SA Protection against side channel attacks
WO2007113697A2 (en) * 2006-04-06 2007-10-11 Nxp B.V. Secure decryption method
US20070288761A1 (en) * 2006-06-09 2007-12-13 Dale Jason N System and method for booting a multiprocessor device based on selection of encryption keys to be provided to processors
US20070288739A1 (en) * 2006-06-09 2007-12-13 Dale Jason N System and method for masking a boot sequence by running different code on each processor
US20070288740A1 (en) * 2006-06-09 2007-12-13 Dale Jason N System and method for secure boot across a plurality of processors
US7774616B2 (en) * 2006-06-09 2010-08-10 International Business Machines Corporation Masking a boot sequence by providing a dummy processor
US20070288738A1 (en) * 2006-06-09 2007-12-13 Dale Jason N System and method for selecting a random processor to boot on a multiprocessor system
US7594104B2 (en) * 2006-06-09 2009-09-22 International Business Machines Corporation System and method for masking a hardware boot sequence
US7856101B2 (en) * 2007-02-07 2010-12-21 King Fahd University Of Petroleum And Minerals Method for elliptic curve scalar multiplication
US8243919B2 (en) * 2007-03-07 2012-08-14 Research In Motion Limited Method and apparatus for performing elliptic curve scalar multiplication in a manner that counters power analysis attacks
WO2009004505A1 (en) * 2007-07-05 2009-01-08 Nxp B.V. Microprocessor in a security-sensitive system
US7991162B2 (en) * 2007-09-14 2011-08-02 University Of Ottawa Accelerating scalar multiplication on elliptic curve cryptosystems over prime fields
WO2009055904A1 (en) * 2007-10-30 2009-05-07 Certicom Corp. Fault detection in exponentiation and point multiplication operations using a montgomery ladder
CA2752750A1 (en) * 2009-02-27 2010-09-02 Certicom Corp. System and method for performing exponentiation in a cryptographic system
JP5449576B2 (ja) 2010-12-27 2014-03-19 三菱電機株式会社 演算装置、演算装置の楕円スカラー倍算方法、楕円スカラー倍算プログラム、演算装置の剰余演算方法および剰余演算プログラム
US8334705B1 (en) 2011-10-27 2012-12-18 Certicom Corp. Analog circuitry to conceal activity of logic circuitry
US8635467B2 (en) 2011-10-27 2014-01-21 Certicom Corp. Integrated circuit with logic circuitry and multiple concealing circuits
US9900154B2 (en) * 2013-12-23 2018-02-20 Nxp B.V. Optimized hardward architecture and method for ECC point addition using mixed affine-jacobian coordinates over short weierstrass curves
US9979543B2 (en) 2013-12-23 2018-05-22 Nxp B.V. Optimized hardware architecture and method for ECC point doubling using jacobian coordinates over short weierstrass curves
US9929862B2 (en) 2013-12-23 2018-03-27 Nxp B.V. Optimized hardware architecture and method for ECC point doubling using Jacobian coordinates over short Weierstrass curves
US9391773B2 (en) 2014-04-04 2016-07-12 Qualcomm Incorporated Elliptic curve point multiplication procedure resistant to side-channel information leakage
US9645794B2 (en) * 2014-09-23 2017-05-09 Texas Instruments Incorporated Homogeneous atomic pattern for double, add, and subtract operations for digital authentication using elliptic curve cryptography
US9590805B1 (en) * 2014-12-23 2017-03-07 EMC IP Holding Company LLC Ladder-based cryptographic techniques using pre-computed points
US9735953B2 (en) * 2015-03-06 2017-08-15 Qualcomm Incorporated Side channel analysis resistant architecture
US10491401B2 (en) * 2017-02-21 2019-11-26 Google Llc Verification of code signature with flexible constraints
CN108875416B (zh) * 2018-06-22 2020-05-19 北京智芯微电子科技有限公司 椭圆曲线多倍点运算方法和装置

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JPH10222065A (ja) * 1997-02-03 1998-08-21 Nippon Telegr & Teleph Corp <Ntt> 冪乗剰余演算方法及び装置
US6252959B1 (en) * 1997-05-21 2001-06-26 Worcester Polytechnic Institute Method and system for point multiplication in elliptic curve cryptosystem
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CA2369545C (en) * 2001-12-31 2013-01-08 Blackberry Limited Method and apparatus for elliptic curve scalar multiplication

Also Published As

Publication number Publication date
US6738478B1 (en) 2004-05-18
JP2002528771A (ja) 2002-09-03
CA2252078C (en) 2009-02-17
CA2252078A1 (en) 2000-04-28
EP1044405B1 (en) 2004-05-26
EP1044405A1 (en) 2000-10-18
DE69917592T2 (de) 2005-06-02
AU5964299A (en) 2000-05-15
WO2000025204A1 (en) 2000-05-04
ATE268022T1 (de) 2004-06-15
DE69917592D1 (de) 2004-07-01

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