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 operationsInfo
- 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
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)
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 |
AU82395/98A AU8239598A (en) | 1997-07-14 | 1998-07-13 | Composite field multiplicative inverse calculation for elliptic curve cryptography |
PCT/IL1998/000327 WO1999004332A1 (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)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2001052051A2 (en) * | 2000-01-16 | 2001-07-19 | Cv Cryptovision Gmbh | Method and devices for carrying out an inversion in the primary number field |
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 |
ATE464599T1 (en) | 2005-10-18 | 2010-04-15 | Telecom Italia Spa | METHOD FOR SCALARM MULTIPLICATION IN GROUPS OF ELLIPTIC CURVES OVER PRIME BODY FOR SIDE-CHANNEL ATTACK-RESISTANT CRYPTOSYSTEMS |
ATE466329T1 (en) * | 2005-10-28 | 2010-05-15 | Telecom Italia Spa | METHOD FOR SCALARM MULTIPLICATION IN GROUPS OF ELLIPTIC CURVES OVER BINARY POLYNOMIC BODIES FOR SIDE-CHANNEL ATTACK-RESISTANT CRYPTOSYSTEMS |
US8331558B2 (en) | 2010-02-18 | 2012-12-11 | King Fahd University Of Petroleum And Minerals | Method of cipher block chaining using elliptic curve cryptography |
US8351601B2 (en) | 2010-02-18 | 2013-01-08 | King Fahd University Of Petroleum And Minerals | Elliptic polynomial cryptography with secret key embedding |
US8189775B2 (en) | 2010-02-18 | 2012-05-29 | King Fahd University Of Petroleum & Minerals | Method of performing cipher block chaining using elliptic polynomial 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 |
US8509426B1 (en) | 2010-12-01 | 2013-08-13 | King Fahd University Of Petroleum And Minerals | XZ-elliptic curve cryptography system and method |
US8699701B2 (en) | 2010-12-01 | 2014-04-15 | King Fahd University | Method of performing XZ-elliptic curve cryptography for use with network security protocols |
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)
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 |
-
1997
- 1997-07-14 IL IL12129797A patent/IL121297A0/en unknown
-
1998
- 1998-07-13 AU AU82395/98A patent/AU8239598A/en not_active Abandoned
- 1998-07-13 WO PCT/IL1998/000327 patent/WO1999004332A1/en active Application Filing
Also Published As
Publication number | Publication date |
---|---|
WO1999004332A1 (en) | 1999-01-28 |
AU8239598A (en) | 1999-02-10 |
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