IL121297A0 - A method and apparatus for the efficient execution of elliptic curve cryptographic operations - Google Patents

A method and apparatus for the efficient execution of elliptic curve cryptographic operations

Info

Publication number
IL121297A0
IL121297A0 IL12129797A IL12129797A IL121297A0 IL 121297 A0 IL121297 A0 IL 121297A0 IL 12129797 A IL12129797 A IL 12129797A IL 12129797 A IL12129797 A IL 12129797A IL 121297 A0 IL121297 A0 IL 121297A0
Authority
IL
Israel
Prior art keywords
elliptic curve
cryptographic operations
efficient execution
curve cryptographic
execution
Prior art date
Application number
IL12129797A
Original Assignee
L P K Information Integrity Lt
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 L P K Information Integrity Lt filed Critical L P K Information Integrity Lt
Priority to IL12129797A priority Critical patent/IL121297A0/en
Publication of IL121297A0 publication Critical patent/IL121297A0/en
Priority to PCT/IL1998/000327 priority patent/WO1999004332A1/en
Priority to AU82395/98A priority patent/AU8239598A/en

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
    • G06F7/60—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
    • 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
    • G06F7/724—Finite field arithmetic
    • G06F7/725—Finite field arithmetic over elliptic curves

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)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Complex Calculations (AREA)
IL12129797A 1997-07-14 1997-07-14 A method and apparatus for the efficient execution of elliptic curve cryptographic operations IL121297A0 (en)

Priority Applications (3)

Application Number Priority Date Filing Date Title
IL12129797A IL121297A0 (en) 1997-07-14 1997-07-14 A method and apparatus for the efficient execution of elliptic curve cryptographic operations
PCT/IL1998/000327 WO1999004332A1 (en) 1997-07-14 1998-07-13 Composite field multiplicative inverse calculation for elliptic curve cryptography
AU82395/98A AU8239598A (en) 1997-07-14 1998-07-13 Composite field multiplicative inverse calculation for elliptic curve cryptography

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
IL12129797A IL121297A0 (en) 1997-07-14 1997-07-14 A method and apparatus for the efficient execution of elliptic curve cryptographic operations

Publications (1)

Publication Number Publication Date
IL121297A0 true IL121297A0 (en) 1998-02-22

Family

ID=11070385

Family Applications (1)

Application Number Title Priority Date Filing Date
IL12129797A IL121297A0 (en) 1997-07-14 1997-07-14 A method and apparatus for the efficient execution of elliptic curve cryptographic operations

Country Status (3)

Country Link
AU (1) AU8239598A (en)
IL (1) IL121297A0 (en)
WO (1) WO1999004332A1 (en)

Families Citing this family (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
AU3721801A (en) * 2000-01-16 2001-07-24 Cv Cryptovision Gmbh Method and device for carrying out an inversion, especially during encoding by means of elliptic curves
IL135247A0 (en) * 2000-03-23 2003-06-24 Cipherit Ltd Method and apparatus for the calculation of modular multiplicative inverses
DE10108916C1 (en) * 2001-02-23 2002-07-25 Infineon Technologies Ag Selective division circuit for cryptographic applications has multiplexer outputs coupled to different groups of multiplexer outputs when division is not required and required respectively
GB0314562D0 (en) * 2003-06-21 2003-07-30 Koninkl Philips Electronics Nv Improved inversion calculations
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
WO2007048430A1 (en) * 2005-10-28 2007-05-03 Telecom Italia S.P.A. A method for scalar multiplication in elliptic curve groups over binary polynomial fields for side-channel attack-resistant cryptosystems
US8351601B2 (en) 2010-02-18 2013-01-08 King Fahd University Of Petroleum And Minerals Elliptic polynomial cryptography with secret key embedding
US8331558B2 (en) 2010-02-18 2012-12-11 King Fahd University Of Petroleum And Minerals Method of cipher block chaining using elliptic curve cryptography
US8385541B2 (en) 2010-02-18 2013-02-26 King Fahd University Of Petroleum And Minerals Method of performing elliptic polynomial cryptography with elliptic polynomial hopping
US8189775B2 (en) 2010-02-18 2012-05-29 King Fahd University Of Petroleum & Minerals Method of performing cipher block chaining using elliptic polynomial cryptography
US8699701B2 (en) 2010-12-01 2014-04-15 King Fahd University Method of performing XZ-elliptic curve cryptography for use with network security protocols
US8509426B1 (en) 2010-12-01 2013-08-13 King Fahd University Of Petroleum And Minerals XZ-elliptic curve cryptography system and method
US8804952B2 (en) 2012-12-26 2014-08-12 Umm Al-Qura University System and method for securing scalar multiplication against differential power attacks

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2605769B1 (en) * 1986-10-22 1988-12-09 Thomson Csf POLYNOMIAL OPERATOR IN THE GALOIS BODIES AND DIGITAL SIGNAL PROCESSING PROCESSOR COMPRISING SUCH AN OPERATOR

Also Published As

Publication number Publication date
AU8239598A (en) 1999-02-10
WO1999004332A1 (en) 1999-01-28

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