ATE460027T1 - Taktangriffresistentes kryptographisches system - Google Patents

Taktangriffresistentes kryptographisches system

Info

Publication number
ATE460027T1
ATE460027T1 AT99932571T AT99932571T ATE460027T1 AT E460027 T1 ATE460027 T1 AT E460027T1 AT 99932571 T AT99932571 T AT 99932571T AT 99932571 T AT99932571 T AT 99932571T AT E460027 T1 ATE460027 T1 AT E460027T1
Authority
AT
Austria
Prior art keywords
group
intermediate element
replacing
cryptographic system
bits
Prior art date
Application number
AT99932571T
Other languages
English (en)
Inventor
Ashok Vadekar
Robert Lambert
Original Assignee
Certicom 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
Application filed by Certicom Corp filed Critical Certicom Corp
Application granted granted Critical
Publication of ATE460027T1 publication Critical patent/ATE460027T1/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
    • G06F7/724Finite field arithmetic
    • G06F7/725Finite field arithmetic over elliptic curves
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F9/00Arrangements for program control, e.g. control units
    • G06F9/06Arrangements for program control, e.g. control units using stored programs, i.e. using an internal store of processing equipment to receive or retain programs
    • G06F9/30Arrangements for executing machine instructions, e.g. instruction decode
    • G06F9/30003Arrangements for executing specific machine instructions
    • G06F9/3005Arrangements for executing specific machine instructions to perform operations for flow control
    • G06F9/30058Conditional branch instructions
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/002Countermeasures against attacks on cryptographic mechanisms
    • H04L9/005Countermeasures against attacks on cryptographic mechanisms for timing attacks
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3066Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2207/00Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F2207/72Indexing scheme relating to groups G06F7/72 - G06F7/729
    • G06F2207/7219Countermeasures against side channel or fault attacks
    • G06F2207/7261Uniform execution, e.g. avoiding jumps, or using formulae with the same power profile
    • 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
    • G06F7/38Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48Methods 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
    • G06F7/4824Methods 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

Landscapes

  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Computer Security & Cryptography (AREA)
  • Mathematical Optimization (AREA)
  • Computing Systems (AREA)
  • Computational Mathematics (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Algebra (AREA)
  • Complex Calculations (AREA)
  • Storage Device Security (AREA)
  • Radar Systems Or Details Thereof (AREA)
  • Traffic Control Systems (AREA)
  • Lock And Its Accessories (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Synchronisation In Digital Transmission Systems (AREA)
AT99932571T 1998-07-21 1999-07-21 Taktangriffresistentes kryptographisches system ATE460027T1 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CA002243761A CA2243761C (en) 1998-07-21 1998-07-21 Timing attack resistant cryptographic system
PCT/CA1999/000658 WO2000005837A1 (en) 1998-07-21 1999-07-21 Timing attack resistant cryptographic system

Publications (1)

Publication Number Publication Date
ATE460027T1 true ATE460027T1 (de) 2010-03-15

Family

ID=4162681

Family Applications (1)

Application Number Title Priority Date Filing Date
AT99932571T ATE460027T1 (de) 1998-07-21 1999-07-21 Taktangriffresistentes kryptographisches system

Country Status (8)

Country Link
US (1) US7020281B2 (de)
EP (1) EP1097541B1 (de)
JP (1) JP4699610B2 (de)
AT (1) ATE460027T1 (de)
AU (1) AU4891799A (de)
CA (1) CA2243761C (de)
DE (1) DE69942094D1 (de)
WO (1) WO2000005837A1 (de)

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US6948065B2 (en) * 2000-12-27 2005-09-20 Intel Corporation Platform and method for securely transmitting an authorization secret
DE10122504A1 (de) * 2001-05-10 2003-01-02 Giesecke & Devrient Gmbh Berechnung eines Vielfachen eines Gruppenelements für kryptographische Zwecke
US7233663B2 (en) * 2001-10-29 2007-06-19 Safenet, Inc. Key generation performance improvement
FR2838210B1 (fr) * 2002-04-03 2005-11-04 Gemplus Card Int Procede cryptographique protege contre les attaques de type a canal cache
DE10254658A1 (de) * 2002-11-22 2004-06-03 Philips Intellectual Property & Standards Gmbh Mikrocontroller und zugeordnetes Verfahren zum Abarbeiten der Programmierung des Mikrocontrollers
US7555122B2 (en) 2002-12-04 2009-06-30 Wired Communications LLC Method for elliptic curve point multiplication
US7426629B2 (en) * 2002-12-12 2008-09-16 Arm Limited Processing activity masking in a data processing system
US7302056B2 (en) * 2003-06-30 2007-11-27 Lucent Technologies Inc. Method and system for determining sequence parameters to limit cycle attacks in timed release cryptography
US8065531B2 (en) * 2006-04-06 2011-11-22 Nxp B.V. Decryption method
KR100867989B1 (ko) 2006-12-06 2008-11-10 한국전자통신연구원 단순전력분석에 안전한 Left-to-Right방향으로 리코딩과 스칼라 곱셈을 동시에 수행하는 스칼라곱셈 방법
US7991162B2 (en) * 2007-09-14 2011-08-02 University Of Ottawa Accelerating scalar multiplication on elliptic curve cryptosystems over prime fields
US20170207918A1 (en) 2009-06-16 2017-07-20 Morpho Cryptography on an elliptical curve
US20140314229A1 (en) 2011-12-09 2014-10-23 Morpho Cryptography on a simplified elliptical curve
FR2946819B1 (fr) * 2009-06-16 2011-07-01 Sagem Securite Cryptographie sur une courbe elliptique.
FR2946818B1 (fr) 2009-06-16 2011-07-01 Sagem Securite Cryptographie sur une courbe elliptique simplifiee.
CN104313027B (zh) 2009-08-11 2018-11-20 库尔纳公司 通过抑制脂连蛋白(adipoq)的天然反义转录物治疗脂连蛋白(adipoq)相关疾病
GB2479871A (en) * 2010-04-26 2011-11-02 David Coyne System for preventing side channel attacks on a synchronous logic device.
US8635467B2 (en) 2011-10-27 2014-01-21 Certicom Corp. Integrated circuit with logic circuitry and multiple concealing circuits
US8334705B1 (en) 2011-10-27 2012-12-18 Certicom Corp. Analog circuitry to conceal activity of logic circuitry
US9239926B2 (en) 2012-06-29 2016-01-19 International Business Machines Corporation Static analysis for discovery of timing attack vulnerabilities in a computer software application
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
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
FR3015726B1 (fr) * 2013-12-24 2016-01-08 Morpho Procede de traitement comparatif securise
SG11202111434QA (en) * 2019-05-16 2021-11-29 Nchain Holdings Ltd Systems and methods for mining on a proof-of-work blockchain network
WO2022271163A1 (en) * 2021-06-23 2022-12-29 Pqsecure Technologies, Llc Computer processing architecture and method for supporting multiple public-key cryptosystems based on exponentiation
CN116647318A (zh) * 2022-02-16 2023-08-25 瑞昱半导体股份有限公司 防御密码系统时间攻击的方法及密码系统处理电路

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US5197024A (en) 1989-06-14 1993-03-23 Pickett Lester C Method and apparatus for exponential/logarithmic computation
US5600324A (en) * 1992-05-11 1997-02-04 Rockwell International Corporation Keyless entry system using a rolling code
DE69326072T2 (de) 1993-11-02 1999-12-23 Bull S.A., Louveciennes Verfahren zur Prüfung eines sequentiellen endlichen Automaten
US5504817A (en) * 1994-05-09 1996-04-02 Yeda Research And Development Co. Ltd. At The Weizmann Institute Of Science Method and apparatus for memory efficient variants of public key encryption and identification schemes for smart card applications
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ATE325478T1 (de) * 1998-01-02 2006-06-15 Cryptography Res Inc Leckresistentes kryptographisches verfahren und vorrichtung
US6041122A (en) * 1998-02-27 2000-03-21 Intel Corporation Method and apparatus for hiding crytographic keys utilizing autocorrelation timing encoding and computation
DE69905145T2 (de) * 1998-03-25 2003-06-05 Certicom Corp., Mississauga Beschleunigte begrenztes-feld-operationen auf einer elliptischen kurve
WO1999063696A1 (en) * 1998-06-03 1999-12-09 Cryptography Research, Inc. Using unpredictable information to minimize leakage from smartcards and other cryptosystems
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DE69935913T2 (de) * 1998-07-02 2008-01-10 Cryptography Research Inc., San Francisco Leckresistente aktualisierung eines indexierten kryptographischen schlüssels

Also Published As

Publication number Publication date
EP1097541B1 (de) 2010-03-03
EP1097541A1 (de) 2001-05-09
AU4891799A (en) 2000-02-14
CA2243761A1 (en) 2000-01-21
DE69942094D1 (de) 2010-04-15
US7020281B2 (en) 2006-03-28
JP2002521724A (ja) 2002-07-16
JP4699610B2 (ja) 2011-06-15
CA2243761C (en) 2009-10-06
US20010033655A1 (en) 2001-10-25
WO2000005837A1 (en) 2000-02-03

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