DE69903366T2 - Vorrichtung zur Umwandlung einer elliptischen Kurve und Vorrichtung zu deren Verwendung - Google Patents
Vorrichtung zur Umwandlung einer elliptischen Kurve und Vorrichtung zu deren VerwendungInfo
- Publication number
- DE69903366T2 DE69903366T2 DE69903366T DE69903366T DE69903366T2 DE 69903366 T2 DE69903366 T2 DE 69903366T2 DE 69903366 T DE69903366 T DE 69903366T DE 69903366 T DE69903366 T DE 69903366T DE 69903366 T2 DE69903366 T2 DE 69903366T2
- Authority
- DE
- Germany
- Prior art keywords
- converting
- elliptic curve
- elliptic
- curve
- 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 - Lifetime
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
- H04L9/3066—Public 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
-
- 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
- Engineering & Computer Science (AREA)
- Theoretical Computer Science (AREA)
- Mathematical Analysis (AREA)
- Computing Systems (AREA)
- Physics & Mathematics (AREA)
- Mathematical Optimization (AREA)
- Mathematical Physics (AREA)
- Pure & Applied Mathematics (AREA)
- Algebra (AREA)
- General Physics & Mathematics (AREA)
- Computer Security & Cryptography (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Complex Calculations (AREA)
- Editing Of Facsimile Originals (AREA)
- Storage Device Security (AREA)
- Error Detection And Correction (AREA)
- Image Processing (AREA)
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP5320498 | 1998-03-05 |
Publications (2)
Publication Number | Publication Date |
---|---|
DE69903366D1 DE69903366D1 (de) | 2002-11-14 |
DE69903366T2 true DE69903366T2 (de) | 2003-03-06 |
Family
ID=12936350
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
DE69903366T Expired - Lifetime DE69903366T2 (de) | 1998-03-05 | 1999-03-05 | Vorrichtung zur Umwandlung einer elliptischen Kurve und Vorrichtung zu deren Verwendung |
Country Status (6)
Country | Link |
---|---|
US (1) | US6212277B1 (de) |
EP (1) | EP0940944B1 (de) |
KR (1) | KR100513127B1 (de) |
CN (1) | CN1235446A (de) |
DE (1) | DE69903366T2 (de) |
TW (1) | TW425803B (de) |
Families Citing this family (24)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US6307935B1 (en) * | 1991-09-17 | 2001-10-23 | Apple Computer, Inc. | Method and apparatus for fast elliptic encryption with direct embedding |
US5825002A (en) | 1996-09-05 | 1998-10-20 | Symbol Technologies, Inc. | Device and method for secure data updates in a self-checkout system |
US20020057796A1 (en) * | 1998-12-24 | 2002-05-16 | Lambert Robert J. | Method for accelerating cryptographic operations on elliptic curves |
US7200225B1 (en) * | 1999-11-12 | 2007-04-03 | Richard Schroeppel | Elliptic curve point ambiguity resolution apparatus and method |
US8285991B2 (en) * | 2000-10-25 | 2012-10-09 | Tecsec Inc. | Electronically signing a document |
US7178030B2 (en) * | 2000-10-25 | 2007-02-13 | Tecsec, Inc. | Electronically signing a document |
JP4284867B2 (ja) * | 2001-01-18 | 2009-06-24 | 株式会社日立製作所 | 標準モデル上で適応的選択暗号文攻撃に対して安全な公開鍵暗号方法 |
FR2824210B1 (fr) * | 2001-04-27 | 2003-05-30 | Gemplus Card Int | Procede de contre-mesure dans un composant electronique mettant en oeuvre un algorithme cryptographique du type a cle publique sur une courbe elliptique |
US7209555B2 (en) * | 2001-10-25 | 2007-04-24 | Matsushita Electric Industrial Co., Ltd. | Elliptic curve converting device, elliptic curve converting method, elliptic curve utilization device and elliptic curve generating device |
FR2854997B1 (fr) * | 2003-05-16 | 2005-07-22 | Gemplus Card Int | Procede de contre-mesure dans un composant electronique mettant en oeuvre un algorithme cryptographique du type a cle publique sur une courbe elliptique definie sur un corps de caracteristique deux |
US7499544B2 (en) | 2003-11-03 | 2009-03-03 | Microsoft Corporation | Use of isogenies for design of cryptosystems |
JP2005268931A (ja) * | 2004-03-16 | 2005-09-29 | Matsushita Electric Ind Co Ltd | 情報セキュリティ装置及び情報セキュリティシステム |
JP2006145945A (ja) * | 2004-11-22 | 2006-06-08 | Sony Corp | 暗号処理演算方法、および暗号処理装置、並びにコンピュータ・プログラム |
FR2881300B1 (fr) * | 2005-01-21 | 2007-03-16 | Gemplus Sa | Procede de generation d'une courbe elliptique, application a un procede cryptographique, et procede cryptographique une telle courbe |
US8913739B2 (en) | 2005-10-18 | 2014-12-16 | Telecom Italia S.P.A. | Method for scalar multiplication in elliptic curve groups over prime fields for side-channel attack resistant cryptosystems |
US8243920B2 (en) * | 2005-10-28 | 2012-08-14 | Telecom Italia S.P.A. | Method for scalar multiplication in elliptic curve groups over binary polynomial fields for side-channel attack-resistant cryptosystems |
CN101416154A (zh) * | 2006-04-06 | 2009-04-22 | Nxp股份有限公司 | 安全解密方法 |
US7885406B2 (en) * | 2006-10-10 | 2011-02-08 | Microsoft Corporation | Computing endomorphism rings of Abelian surfaces over finite fields |
US8102998B2 (en) * | 2007-05-02 | 2012-01-24 | King Fahd University Of Petroleum And Minerals | Method for elliptic curve scalar multiplication using parameterized projective coordinates |
US20080273695A1 (en) * | 2007-05-02 | 2008-11-06 | Al-Gahtani Theeb A | Method for elliptic curve scalar multiplication using parameterized projective coordinates |
US8619977B2 (en) * | 2008-01-15 | 2013-12-31 | Inside Secure | Representation change of a point on an elliptic curve |
KR101035394B1 (ko) * | 2008-05-23 | 2011-05-20 | (주) 이니투스 | 공개키 생성시간좌표를 이용한 ecc 인증방법 |
RU2450438C1 (ru) * | 2011-03-21 | 2012-05-10 | Государственное образовательное учреждение высшего профессионального образования "Санкт-Петербургский государственный электротехнический университет "ЛЭТИ" им. В.И. Ульянова (Ленина)" | Способ формирования и проверки подлинности коллективной электронной цифровой подписи, заверяющей электронный документ |
US10068070B2 (en) * | 2015-05-05 | 2018-09-04 | Nxp B.V. | White-box elliptic curve point multiplication |
Family Cites Families (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5737424A (en) * | 1996-06-04 | 1998-04-07 | Software Security, Inc. | Method and system for secure distribution of protected data using elliptic curve systems |
-
1999
- 1999-03-04 CN CN99107608A patent/CN1235446A/zh active Pending
- 1999-03-04 US US09/262,794 patent/US6212277B1/en not_active Expired - Lifetime
- 1999-03-05 DE DE69903366T patent/DE69903366T2/de not_active Expired - Lifetime
- 1999-03-05 TW TW088103387A patent/TW425803B/zh not_active IP Right Cessation
- 1999-03-05 EP EP99301670A patent/EP0940944B1/de not_active Expired - Lifetime
- 1999-03-05 KR KR10-1999-0007218A patent/KR100513127B1/ko not_active IP Right Cessation
Also Published As
Publication number | Publication date |
---|---|
EP0940944A3 (de) | 2000-01-19 |
CN1235446A (zh) | 1999-11-17 |
US6212277B1 (en) | 2001-04-03 |
EP0940944A2 (de) | 1999-09-08 |
DE69903366D1 (de) | 2002-11-14 |
TW425803B (en) | 2001-03-11 |
KR100513127B1 (ko) | 2005-09-07 |
EP0940944B1 (de) | 2002-10-09 |
KR19990077606A (ko) | 1999-10-25 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
DE69903366T2 (de) | Vorrichtung zur Umwandlung einer elliptischen Kurve und Vorrichtung zu deren Verwendung | |
DE60013447D1 (de) | Vorrichtung und deren verwendung zur vorhydrolyse von biomasse | |
DE69839847D1 (de) | Verfahren und vorrichtung zur flachstrahl-radiographie und strahlungssensor | |
DE69939410D1 (de) | Festkörperbildaufnahmevorrichtung und System unter Verwendung einer solchen Vorrichtung | |
DE69723136D1 (de) | Photoelektrische Wandler-Vorrichtung und photoelektrisches Wandler-System zur Benutzung der Vorrichtung | |
DE29816280U1 (de) | Vorrichtung zur Kraftbegrenzung | |
DE69840644D1 (de) | Verfahren und Vorrichtung zur Umsetzung von Farbdaten | |
DE69913534D1 (de) | Verfahren und vorrichtung zur bilderzeugung | |
DE69832337D1 (de) | Bauteilzuführer und Vorrichtung zur Bestückung | |
DE69607154D1 (de) | Vorrichtung und verfahren zur adaptiven strahlbildung in einer antennenanordnung | |
DE69841299D1 (de) | Verfahren und Vorrichtung zur Energiewandlung | |
DE69902077T2 (de) | Vorrichtung zur Reinigung von Wasserstoff | |
DE59902679D1 (de) | Verfahren und vorrichtung zur de-sulfatierung einer katalysatoreinrichtung | |
DE59904772D1 (de) | Vorrichtung zur übernahme und beförderung von gegenständen | |
DE69918790D1 (de) | Verfahren und Vorrichtung zur vorangepassten Farbkonvertierung | |
DE69826527D1 (de) | Vorrichtung zur komplettierung einer unterirdischen bohrung und verfahren zu deren verwendung | |
DE69924912D1 (de) | Verschlüsselungsverfahren und Vorrichtung unter Verwendung einer elliptischen Kurve | |
DE69514965D1 (de) | Verfahren und Vorrichtung zur Gradationsumsetzung | |
DE59904723D1 (de) | Vorrichtung zur katalytischen umsetzung von wasserstoff | |
DE9406748U1 (de) | Vorrichtung zur Kraftaufbringung | |
DE69910502D1 (de) | Druckverfahren und Vorrichtung | |
DE69812550T2 (de) | Vorrichtung zur Datenumwandlung und Bilderzeugung | |
DE69934188D1 (de) | Vorrichtung zur Dämpfung von Drehmomentschwankungen | |
DE29816100U1 (de) | Vorrichtung zur Krafterzeugung | |
DE69931723D1 (de) | Vorrichtung zur Dämpfung von Drehmomentschwankungen |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
8364 | No opposition during term of opposition | ||
8327 | Change in the person/name/address of the patent owner |
Owner name: PANASONIC CORP., KADOMA, OSAKA, JP |