DE602004023811D1 - Verfahren zur modularen Potenzierung zur Entschlüsselung bzw. zur Erzeugung von digitalen Signaturen - Google Patents

Verfahren zur modularen Potenzierung zur Entschlüsselung bzw. zur Erzeugung von digitalen Signaturen

Info

Publication number
DE602004023811D1
DE602004023811D1 DE602004023811T DE602004023811T DE602004023811D1 DE 602004023811 D1 DE602004023811 D1 DE 602004023811D1 DE 602004023811 T DE602004023811 T DE 602004023811T DE 602004023811 T DE602004023811 T DE 602004023811T DE 602004023811 D1 DE602004023811 D1 DE 602004023811D1
Authority
DE
Germany
Prior art keywords
decryption
generation
digital signatures
modular exponentiation
exponentiation
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
DE602004023811T
Other languages
German (de)
English (en)
Inventor
Katsuyuki Okeya
Tsuyoshi Takagi
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.)
Hitachi Ltd
Original Assignee
Hitachi 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 Hitachi Ltd filed Critical Hitachi Ltd
Publication of DE602004023811D1 publication Critical patent/DE602004023811D1/de
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; 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
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F2207/72—Indexing scheme relating to groups G06F7/72 - G06F7/729
    • G06F2207/7219—Countermeasures against side channel or fault attacks
    • G06F2207/7223—Randomisation as countermeasure against side channel attacks
    • G06F2207/7233—Masking, e.g. (A**e)+r mod n

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)
  • Storage Device Security (AREA)
DE602004023811T 2004-01-07 2004-07-12 Verfahren zur modularen Potenzierung zur Entschlüsselung bzw. zur Erzeugung von digitalen Signaturen Expired - Lifetime DE602004023811D1 (de)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2004001602A JP4626148B2 (ja) 2004-01-07 2004-01-07 復号または署名作成におけるべき乗剰余算の計算方法

Publications (1)

Publication Number Publication Date
DE602004023811D1 true DE602004023811D1 (de) 2009-12-10

Family

ID=34587677

Family Applications (1)

Application Number Title Priority Date Filing Date
DE602004023811T Expired - Lifetime DE602004023811D1 (de) 2004-01-07 2004-07-12 Verfahren zur modularen Potenzierung zur Entschlüsselung bzw. zur Erzeugung von digitalen Signaturen

Country Status (4)

Country Link
US (1) US7512231B2 (https=)
EP (1) EP1553720B1 (https=)
JP (1) JP4626148B2 (https=)
DE (1) DE602004023811D1 (https=)

Families Citing this family (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP2015171A1 (fr) * 2007-06-29 2009-01-14 Gemplus Procédé cryptographique comprenant une exponentiation modulaire sécurisée contre les attaques à canaux cachés sans la connaissance de l'exposant public, cryptoprocesseur pour la mise en oeuvre du procédé et carte à puce associée
FR2977953A1 (fr) * 2011-07-13 2013-01-18 St Microelectronics Rousset Protection d'un calcul d'exponentiation modulaire par addition d'une quantite aleatoire
FR3015076B1 (fr) * 2013-12-17 2016-02-05 Oberthur Technologies Generation de cles cryptographiques
FR3015079B1 (fr) * 2013-12-17 2016-02-05 Oberthur Technologies Verification d'integrite de paire de cles cryptographiques
CN105099684B (zh) * 2014-05-08 2019-08-16 国民技术股份有限公司 一种模幂运算的处理方法、装置及密码设备
US11343071B2 (en) * 2016-02-05 2022-05-24 Micro Focus Llc Extended ciphertexts
KR101982237B1 (ko) * 2017-03-06 2019-05-24 고려대학교 산학협력단 클라우드 컴퓨팅 환경에서의 속성 기반 암호화를 이용한 데이터 공유 방법 및 시스템
KR102003936B1 (ko) * 2019-02-18 2019-07-29 주식회사 에이티이엔지 해킹방지용 데이터 전송 케이블
US11249726B2 (en) 2019-09-10 2022-02-15 Intel Corporation Integrated circuits with modular multiplication circuitry
CN111352609B (zh) * 2020-03-05 2022-06-14 青岛大学 一种基于边缘计算的分布式外包模幂运算方法

Family Cites Families (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6011848A (en) * 1994-03-07 2000-01-04 Nippon Telegraph And Telephone Corporation Method and system for message delivery utilizing zero knowledge interactive proof protocol
US6411715B1 (en) * 1997-11-10 2002-06-25 Rsa Security, Inc. Methods and apparatus for verifying the cryptographic security of a selected private and public key pair without knowing the private key
ATE325478T1 (de) * 1998-01-02 2006-06-15 Cryptography Res Inc Leckresistentes kryptographisches verfahren und vorrichtung
JP4317607B2 (ja) * 1998-12-14 2009-08-19 株式会社日立製作所 情報処理装置、耐タンパ処理装置
JP4083925B2 (ja) * 1999-06-24 2008-04-30 株式会社日立製作所 情報処理装置、カード部材および情報処理システム
JP2002247025A (ja) * 2001-02-22 2002-08-30 Hitachi Ltd 情報処理装置
DE10143728B4 (de) * 2001-09-06 2004-09-02 Infineon Technologies Ag Vorrichtung und Verfahren zum Berechnen eines Ergebnisses einer modularen Exponentiation
JP4086503B2 (ja) * 2002-01-15 2008-05-14 富士通株式会社 暗号演算装置及び方法並びにプログラム
ATE320125T1 (de) * 2002-09-11 2006-03-15 Giesecke & Devrient Gmbh Geschützte kryptographische berechnung
TW586086B (en) * 2002-12-27 2004-05-01 Ind Tech Res Inst Method and apparatus for protecting public key schemes from timing, power and fault attacks

Also Published As

Publication number Publication date
JP2005195829A (ja) 2005-07-21
US7512231B2 (en) 2009-03-31
US20050147241A1 (en) 2005-07-07
JP4626148B2 (ja) 2011-02-02
EP1553720B1 (en) 2009-10-28
EP1553720A1 (en) 2005-07-13

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