DE60223775D1 - Vorrichtung zum Konvertieren einer elliptischen Kurve - Google Patents

Vorrichtung zum Konvertieren einer elliptischen Kurve

Info

Publication number
DE60223775D1
DE60223775D1 DE60223775T DE60223775T DE60223775D1 DE 60223775 D1 DE60223775 D1 DE 60223775D1 DE 60223775 T DE60223775 T DE 60223775T DE 60223775 T DE60223775 T DE 60223775T DE 60223775 D1 DE60223775 D1 DE 60223775D1
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
Application number
DE60223775T
Other languages
English (en)
Other versions
DE60223775T2 (de
Inventor
Yuichi Futa
Motoji Ohmori
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Panasonic Corp
Original Assignee
Matsushita Electric Industrial Co Ltd
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 Matsushita Electric Industrial Co Ltd filed Critical Matsushita Electric Industrial Co Ltd
Publication of DE60223775D1 publication Critical patent/DE60223775D1/de
Application granted granted Critical
Publication of DE60223775T2 publication Critical patent/DE60223775T2/de
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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
    • G06F7/725—Finite field arithmetic over elliptic curves

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)
  • Image Generation (AREA)
  • Image Processing (AREA)
DE60223775T 2001-10-25 2002-10-25 Vorrichtung zum Konvertieren einer elliptischen Kurve Expired - Lifetime DE60223775T2 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
JP2001327337 2001-10-25
JP2001327337 2001-10-25

Publications (2)

Publication Number Publication Date
DE60223775D1 true DE60223775D1 (de) 2008-01-10
DE60223775T2 DE60223775T2 (de) 2008-10-30

Family

ID=19143583

Family Applications (1)

Application Number Title Priority Date Filing Date
DE60223775T Expired - Lifetime DE60223775T2 (de) 2001-10-25 2002-10-25 Vorrichtung zum Konvertieren einer elliptischen Kurve

Country Status (3)

Country Link
US (1) US7209555B2 (de)
EP (1) EP1306749B1 (de)
DE (1) DE60223775T2 (de)

Families Citing this family (23)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7499544B2 (en) 2003-11-03 2009-03-03 Microsoft Corporation Use of isogenies for design of cryptosystems
US7702098B2 (en) * 2005-03-15 2010-04-20 Microsoft Corporation Elliptic curve point octupling for weighted projective coordinates
US7680268B2 (en) 2005-03-15 2010-03-16 Microsoft Corporation Elliptic curve point octupling using single instruction multiple data processing
US7617397B2 (en) 2005-04-29 2009-11-10 Microsoft Corporation Systems and methods for generation and validation of isogeny-based signatures
US8180047B2 (en) * 2006-01-13 2012-05-15 Microsoft Corporation Trapdoor pairings
JP2008203548A (ja) * 2007-02-20 2008-09-04 Oki Electric Ind Co Ltd 二次双曲線群を使用する鍵生成方法、復号方法、署名検証方法、鍵ストリーム生成方法および装置。
US7986779B2 (en) * 2007-06-30 2011-07-26 Intel Corporation Efficient elliptic-curve cryptography based on primality of the order of the ECC-group
US7978846B2 (en) * 2007-06-30 2011-07-12 Intel Corporation Scale-invariant barrett reduction for elliptic-curve cyrptography
US8005210B2 (en) * 2007-06-30 2011-08-23 Intel Corporation Modulus scaling for elliptic-curve cryptography
EP2234322B1 (de) * 2008-01-18 2019-10-02 Mitsubishi Electric Corporation Einrichtung zur einstellung kryptografischer parameter, kryptografisches system, programm und verfahren zur einstellung kryptografischer parameter
EP2085878A1 (de) * 2008-02-01 2009-08-05 Thomson Licensing Vorrichtung und Verfahren zur Berechnung einer Punktmultiplikation auf einer elliptischen Kurve
US8250367B2 (en) * 2008-09-30 2012-08-21 Microsoft Corporation Cryptographic applications of efficiently evaluating large degree isogenies
US8731187B2 (en) * 2010-12-21 2014-05-20 Microsoft Corporation Computing genus-2 curves using general isogenies
RU2541938C1 (ru) * 2013-11-20 2015-02-20 федеральное государственное автономное образовательное учреждение высшего образования "Санкт-Петербургский государственный политехнический университет" (ФГАОУ ВО "СПбПУ") Способ шифрования с защитой от квантовых атак на основе циклов функций вебера
CN106664205B (zh) * 2014-04-17 2020-06-05 赫尔实验室有限公司 生成数字签名的系统和方法、非瞬时计算机可读存储介质
US10068070B2 (en) * 2015-05-05 2018-09-04 Nxp B.V. White-box elliptic curve point multiplication
CN106549770B (zh) * 2017-01-13 2019-07-12 武汉理工大学 Sm2数字签名生成方法及系统
CN106656512B (zh) * 2017-01-17 2019-07-09 武汉理工大学 支持门限密码的sm2数字签名生成方法及系统
KR20200086284A (ko) 2017-11-09 2020-07-16 엔체인 홀딩스 리미티드 최적화된 확인 가능한 계산을 위해 실행 가능한 명령어를 단순화하기 위한 시스템
JP7453911B2 (ja) 2017-12-13 2024-03-21 エヌチェーン ライセンシング アーゲー 暗号材料を安全に共有するためのシステム及び方法
US11611430B2 (en) * 2019-04-15 2023-03-21 Axell Corporation Arithmetic apparatus, arithmetic system and arithmetic method
CN110213057B (zh) * 2019-05-23 2021-01-08 武汉理工大学 具有乘积r参数的SM9数字签名协同生成方法及系统
CN110166256B (zh) * 2019-06-17 2020-10-02 武汉理工大学 具有乘积r参数的SM9数字签名多方协同生成方法及系统

Family Cites Families (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5497423A (en) * 1993-06-18 1996-03-05 Matsushita Electric Industrial Co., Ltd. Method of implementing elliptic curve cryptosystems in digital signatures or verification and privacy communication
US6088453A (en) * 1997-01-27 2000-07-11 Kabushiki Kaisha Toshiba Scheme for computing Montgomery division and Montgomery inverse realizing fast implementation
US6782100B1 (en) * 1997-01-29 2004-08-24 Certicom Corp. Accelerated finite field operations on an elliptic curve
BR9815161A (pt) * 1997-12-05 2000-10-10 Secured Information Technology Método para produzir um produto de multiplicação de curva elìptica; método para otimizar o cálculo de uma expressão, método para produção de um produto de adição de curva elìptica; aparelho para produção de um produto de multiplicação de ponto de curva elìptica
US6212277B1 (en) 1998-03-05 2001-04-03 Matsushita Electric Industrial Co., Ltd. Elliptic curve transformation device, utilization device and utilization system
JP3050313B2 (ja) 1998-03-05 2000-06-12 松下電器産業株式会社 楕円曲線変換装置、利用装置及び利用システム
JP2002524778A (ja) 1998-09-08 2002-08-06 シティバンク，エヌ．エイ． メモリ容量の少ないデバイス用の楕円曲線暗号系
US20020057796A1 (en) * 1998-12-24 2002-05-16 Lambert Robert J. Method for accelerating cryptographic operations on elliptic curves
CA2257008C (en) * 1998-12-24 2007-12-11 Certicom Corp. A method for accelerating cryptographic operations on elliptic curves
EP1215642A4 (de) 1999-09-08 2004-05-26 Hitachi Ltd Methode und anordnung zur generation elliptischer kurven, elliptisches verschlüsselungssystem, und aufnahme-medium

Also Published As

Publication number Publication date
EP1306749A2 (de) 2003-05-02
US7209555B2 (en) 2007-04-24
EP1306749A3 (de) 2005-09-14
US20030081771A1 (en) 2003-05-01
EP1306749B1 (de) 2007-11-28
DE60223775T2 (de) 2008-10-30

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Legal Events

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8327 Change in the person/name/address of the patent owner

Owner name: PANASONIC CORP., KADOMA, OSAKA, JP