IL132816A - Method and apparatus for protecting public key schemes from timing and fault attacks - Google Patents

Method and apparatus for protecting public key schemes from timing and fault attacks

Info

Publication number
IL132816A
IL132816A IL13281698A IL13281698A IL132816A IL 132816 A IL132816 A IL 132816A IL 13281698 A IL13281698 A IL 13281698A IL 13281698 A IL13281698 A IL 13281698A IL 132816 A IL132816 A IL 132816A
Authority
IL
Israel
Prior art keywords
timing
public key
fault attacks
schemes
key schemes
Prior art date
Application number
IL13281698A
Other languages
English (en)
Other versions
IL132816A0 (en
Original Assignee
Yeda Res & Dev
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 Yeda Res & Dev filed Critical Yeda Res & Dev
Publication of IL132816A0 publication Critical patent/IL132816A0/xx
Publication of IL132816A publication Critical patent/IL132816A/xx

Links

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3006—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy underlying computational problems or public-key parameters
    • H04L9/302—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy underlying computational problems or public-key parameters involving the integer factorization problem, e.g. RSA or quadratic sieve [QS] schemes
    • 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
    • G06F7/723—Modular exponentiation
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/002—Countermeasures against attacks on cryptographic mechanisms
    • H04L9/004—Countermeasures against attacks on cryptographic mechanisms for fault attacks
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/002—Countermeasures against attacks on cryptographic mechanisms
    • H04L9/005—Countermeasures against attacks on cryptographic mechanisms for timing attacks
    • 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
    • G06F2207/7223—Randomisation as countermeasure against side channel attacks
    • G06F2207/7233—Masking, e.g. (A**e)+r mod n
    • G06F2207/7247—Modulo masking, e.g. A**e mod (n*r)
    • 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
    • G06F2207/7223—Randomisation as countermeasure against side channel attacks
    • G06F2207/7257—Random modification not requiring correction
    • 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
    • G06F2207/7271—Fault verification, e.g. comparing two values which should be the same, unless a computational fault occurred
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L2209/00—Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
    • H04L2209/08—Randomization, e.g. dummy operations or using noise

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Computing Systems (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Storage Device Security (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
  • Financial Or Insurance-Related Operations Such As Payment And Settlement (AREA)
  • Credit Cards Or The Like (AREA)
IL13281698A 1997-05-12 1998-05-12 Method and apparatus for protecting public key schemes from timing and fault attacks IL132816A (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US08/854,464 US5991415A (en) 1997-05-12 1997-05-12 Method and apparatus for protecting public key schemes from timing and fault attacks
PCT/US1998/009593 WO1998052319A1 (en) 1997-05-12 1998-05-12 Improved method and apparatus for protecting public key schemes from timing and fault attacks

Publications (2)

Publication Number Publication Date
IL132816A0 IL132816A0 (en) 2001-03-19
IL132816A true IL132816A (en) 2003-05-29

Family

ID=25318766

Family Applications (1)

Application Number Title Priority Date Filing Date
IL13281698A IL132816A (en) 1997-05-12 1998-05-12 Method and apparatus for protecting public key schemes from timing and fault attacks

Country Status (8)

Country Link
US (1) US5991415A (de)
EP (1) EP0986873B1 (de)
AU (1) AU7568598A (de)
CA (1) CA2288837C (de)
DE (1) DE69828787T2 (de)
ES (1) ES2236903T3 (de)
IL (1) IL132816A (de)
WO (1) WO1998052319A1 (de)

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Also Published As

Publication number Publication date
EP0986873A1 (de) 2000-03-22
ES2236903T3 (es) 2005-07-16
US5991415A (en) 1999-11-23
DE69828787D1 (de) 2005-03-03
CA2288837C (en) 2008-11-18
CA2288837A1 (en) 1998-11-19
WO1998052319A1 (en) 1998-11-19
EP0986873B1 (de) 2005-01-26
DE69828787T2 (de) 2006-04-06
IL132816A0 (en) 2001-03-19
AU7568598A (en) 1998-12-08

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