DE69500523T2 - Elektronische Schaltung zur Modularberechnung in einem endlichen Körper - Google Patents
Elektronische Schaltung zur Modularberechnung in einem endlichen KörperInfo
- Publication number
- DE69500523T2 DE69500523T2 DE69500523T DE69500523T DE69500523T2 DE 69500523 T2 DE69500523 T2 DE 69500523T2 DE 69500523 T DE69500523 T DE 69500523T DE 69500523 T DE69500523 T DE 69500523T DE 69500523 T2 DE69500523 T2 DE 69500523T2
- Authority
- DE
- Germany
- Prior art keywords
- electronic circuit
- finite field
- modular calculation
- modular
- calculation
- Prior art date
- Legal status (The legal status 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 status listed.)
- Expired - Fee Related
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
- G06F7/728—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 using Montgomery reduction
-
- 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
- G06F7/727—Modulo N arithmetic, with N being either (2**n)-1,2**n or (2**n)+1, e.g. mod 3, mod 4 or mod 5
-
- 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
- G06F7/721—Modular inversion, reciprocal or quotient calculation
-
- 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
- G06F7/722—Modular multiplication
-
- 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
- G06F7/723—Modular exponentiation
Landscapes
- Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Computational Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computing Systems (AREA)
- Mathematical Physics (AREA)
- General Engineering & Computer Science (AREA)
- Complex Calculations (AREA)
- Detection And Correction Of Errors (AREA)
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR9411420A FR2724741B1 (fr) | 1994-09-21 | 1994-09-21 | Circuit electronique de calcul modulaire dans un corps fini |
Publications (2)
Publication Number | Publication Date |
---|---|
DE69500523D1 DE69500523D1 (de) | 1997-09-11 |
DE69500523T2 true DE69500523T2 (de) | 1997-12-04 |
Family
ID=9467248
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
DE69500523T Expired - Fee Related DE69500523T2 (de) | 1994-09-21 | 1995-09-19 | Elektronische Schaltung zur Modularberechnung in einem endlichen Körper |
Country Status (5)
Country | Link |
---|---|
US (1) | US5742534A (de) |
EP (1) | EP0703528B1 (de) |
JP (1) | JPH08101779A (de) |
DE (1) | DE69500523T2 (de) |
FR (1) | FR2724741B1 (de) |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
DE19820605A1 (de) * | 1998-05-08 | 1999-11-11 | Giesecke & Devrient Gmbh | Verfahren zur sicheren Verteilung von Software |
Families Citing this family (14)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
FR2743645B1 (fr) * | 1996-01-15 | 1998-02-27 | Sgs Thomson Microelectronics | Dispositif ameliorant la vitesse de traitement d'un coprocesseur d'arithmetique modulaire |
FR2754616B1 (fr) * | 1996-10-11 | 1998-12-04 | Sgs Thomson Microelectronics | Procede et circuit de division d'elements d'un corps de galois |
GB2321979B (en) * | 1997-01-30 | 2002-11-13 | Motorola Ltd | Modular multiplication circuit |
US5978954A (en) * | 1997-11-25 | 1999-11-02 | Palmchip Corporation | On-the-fly error detection and correction buffer processor |
US6199087B1 (en) | 1998-06-25 | 2001-03-06 | Hewlett-Packard Company | Apparatus and method for efficient arithmetic in finite fields through alternative representation |
US6178436B1 (en) | 1998-07-01 | 2001-01-23 | Hewlett-Packard Company | Apparatus and method for multiplication in large finite fields |
US6182104B1 (en) * | 1998-07-22 | 2001-01-30 | Motorola, Inc. | Circuit and method of modulo multiplication |
US7277540B1 (en) * | 1999-01-20 | 2007-10-02 | Kabushiki Kaisha Toshiba | Arithmetic method and apparatus and crypto processing apparatus for performing multiple types of cryptography |
JP4484002B2 (ja) * | 1999-10-04 | 2010-06-16 | ネッツエスアイ東洋株式会社 | 演算プロセッサ |
KR100413947B1 (ko) * | 2001-07-07 | 2004-01-07 | 주홍정보통신주식회사 | 모듈라 지수승 연산 방식을 이용한 rsa 암호 장치 |
KR100550015B1 (ko) * | 2003-12-18 | 2006-02-08 | 한국전자통신연구원 | GF(3^m)의 유한체 곱셈 연산에 적합한 유한체 곱셈연산 장치, 이에 적합한 mod 3 비트 곱셈기, 그리고이에 적합한 mod 3 비트열 덧셈기 |
US7519644B2 (en) * | 2004-05-27 | 2009-04-14 | King Fahd University Of Petroleum And Minerals | Finite field serial-serial multiplication/reduction structure and method |
FR3040511B1 (fr) * | 2015-08-27 | 2017-09-08 | Stmicroelectronics Rousset | Verification de la sensibilite d'un circuit electronique executant un calcul d'exponentiation modulaire |
FR3040512B1 (fr) * | 2015-08-27 | 2017-09-08 | Stmicroelectronics Rousset | Protection d'un calcul d'exponentiation modulaire |
Family Cites Families (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
FR2554257B1 (fr) * | 1983-10-28 | 1985-12-27 | Thomson Csf | Procede et reseau multiplicateur pour la multiplication, modulo un nombre binaire n, de deux nombres binaires x et y |
FR2679054A1 (fr) | 1991-07-10 | 1993-01-15 | Fortress U T 2000 Ltd | Procede et appareil d'exponentiation sur gf(2n). |
DE69229766T2 (de) * | 1991-09-05 | 2000-03-23 | Canon Kk | Verfahren und Gerät zum Verschlüsseln und Entschlüsseln von Kommunikationsdaten |
US5513133A (en) * | 1992-11-30 | 1996-04-30 | Fortress U&T Ltd. | Compact microelectronic device for performing modular multiplication and exponentiation over large numbers |
US5535225A (en) * | 1993-10-12 | 1996-07-09 | Hughes Aircraft Company | Time domain algebraic encoder/decoder |
US5602767A (en) * | 1995-08-29 | 1997-02-11 | Tcsi Corporation | Galois field polynomial multiply/divide circuit and a digital signal processor incorporating same |
-
1994
- 1994-09-21 FR FR9411420A patent/FR2724741B1/fr not_active Expired - Fee Related
-
1995
- 1995-09-19 DE DE69500523T patent/DE69500523T2/de not_active Expired - Fee Related
- 1995-09-19 EP EP95460035A patent/EP0703528B1/de not_active Expired - Lifetime
- 1995-09-21 US US08/531,952 patent/US5742534A/en not_active Expired - Lifetime
- 1995-09-21 JP JP7267793A patent/JPH08101779A/ja not_active Withdrawn
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
DE19820605A1 (de) * | 1998-05-08 | 1999-11-11 | Giesecke & Devrient Gmbh | Verfahren zur sicheren Verteilung von Software |
Also Published As
Publication number | Publication date |
---|---|
FR2724741A1 (fr) | 1996-03-22 |
EP0703528A1 (de) | 1996-03-27 |
FR2724741B1 (fr) | 1996-12-20 |
EP0703528B1 (de) | 1997-08-06 |
DE69500523D1 (de) | 1997-09-11 |
US5742534A (en) | 1998-04-21 |
JPH08101779A (ja) | 1996-04-16 |
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Legal Events
Date | Code | Title | Description |
---|---|---|---|
8364 | No opposition during term of opposition | ||
8339 | Ceased/non-payment of the annual fee |