WO2015132524A3 - Génération de message pour test de génération de clés cryptographiques - Google Patents
Génération de message pour test de génération de clés cryptographiques Download PDFInfo
- Publication number
- WO2015132524A3 WO2015132524A3 PCT/FR2015/050513 FR2015050513W WO2015132524A3 WO 2015132524 A3 WO2015132524 A3 WO 2015132524A3 FR 2015050513 W FR2015050513 W FR 2015050513W WO 2015132524 A3 WO2015132524 A3 WO 2015132524A3
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- generation
- test
- message
- search
- cryptographic key
- Prior art date
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
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
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- 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
-
- 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
- H04L9/002—Countermeasures against attacks on cryptographic mechanisms
- H04L9/004—Countermeasures against attacks on cryptographic mechanisms for fault attacks
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR 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
- G06F2207/7204—Prime number generation or prime number testing
-
- 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
- H04L9/3006—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy underlying computational problems or public-key parameters
- H04L9/302—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy underlying computational problems or public-key parameters involving the integer factorization problem, e.g. RSA or quadratic sieve [QS] schemes
Landscapes
- Engineering & Computer Science (AREA)
- Computer Security & Cryptography (AREA)
- General Physics & Mathematics (AREA)
- Physics & Mathematics (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Mathematical Optimization (AREA)
- Mathematical Analysis (AREA)
- Computational Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computing Systems (AREA)
- Mathematical Physics (AREA)
- General Engineering & Computer Science (AREA)
- Storage Device Security (AREA)
- Mobile Radio Communication Systems (AREA)
Abstract
Génération d'un message m d'ordre λ(n), pour un test d'intégrité de génération de paire de clés cryptographiques dans le groupe multiplicatif des entiers modulo n = p.q, comportant: - la génération de paire de clés avec, pour générer p et q : o un tirage aléatoire d'entiers candidats, et o un test de primalité, - une première recherche d'un générateur a du groupe multiplicatif des entiers modulo p, - une deuxième recherche d'un générateur b du groupe multiplicatif des entiers modulo q, - une troisième recherche d'un nombre y, en tant que message m, vérifiant : 1 ≤ γ ≤ n − 1 avec γ=a mod p et γ=b mod q, la première ou la deuxième recherche étant réalisée lors dudit test de primalité.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US15/122,822 US9992016B2 (en) | 2014-03-06 | 2015-03-03 | Message generation for a cryptographic key generation test |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR1451813 | 2014-03-06 | ||
FR1451813A FR3018372B1 (fr) | 2014-03-06 | 2014-03-06 | Generation de message pour test de generation de cles cryptographiques |
Publications (2)
Publication Number | Publication Date |
---|---|
WO2015132524A2 WO2015132524A2 (fr) | 2015-09-11 |
WO2015132524A3 true WO2015132524A3 (fr) | 2015-12-17 |
Family
ID=51303062
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
PCT/FR2015/050513 WO2015132524A2 (fr) | 2014-03-06 | 2015-03-03 | Génération de message pour test de génération de clés cryptographiques |
Country Status (3)
Country | Link |
---|---|
US (1) | US9992016B2 (fr) |
FR (1) | FR3018372B1 (fr) |
WO (1) | WO2015132524A2 (fr) |
Families Citing this family (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
SG10201609975TA (en) * | 2016-11-28 | 2018-06-28 | Huawei Int Pte Ltd | Method and system for deriving deterministic prime number |
Citations (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20140013102A1 (en) * | 2012-07-04 | 2014-01-09 | Oberthur Technologies | Method for verifying the security of a device for generating private and public cryptographic keys |
Family Cites Families (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2000293587A (ja) * | 1999-04-09 | 2000-10-20 | Sony Corp | 情報処理装置および方法、管理装置および方法、並びに提供媒体 |
FR2807246B1 (fr) * | 2000-03-28 | 2002-12-27 | Gemplus Card Int | Procede de generation de cles electroniques a partir de nombres entiers premiers entre eux et dispositif de mise en oeuvre du procede |
US7113595B2 (en) * | 2002-08-09 | 2006-09-26 | Gemplus | Generation of a random number that is non-divisible by a set of prime numbers |
DE50302617D1 (de) * | 2002-09-11 | 2006-05-04 | Giesecke & Devrient Gmbh | Geschützte kryptographische berechnung |
KR100720726B1 (ko) * | 2003-10-09 | 2007-05-22 | 삼성전자주식회사 | Rsa 알고리즘을 이용한 보안유지시스템 및 그 방법 |
US8861718B2 (en) * | 2012-02-10 | 2014-10-14 | Electronics And Telecommunications Research Institute | Method of preventing fault-injection attacks on Chinese Remainder Theorem-Rivest Shamir Adleman cryptographic operations and recording medium for storing program implementing the same |
FR3015080B1 (fr) * | 2013-12-17 | 2016-01-22 | Oberthur Technologies | Verification d'integrite de paire de cles cryptographiques |
-
2014
- 2014-03-06 FR FR1451813A patent/FR3018372B1/fr active Active
-
2015
- 2015-03-03 US US15/122,822 patent/US9992016B2/en active Active
- 2015-03-03 WO PCT/FR2015/050513 patent/WO2015132524A2/fr active Application Filing
Patent Citations (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20140013102A1 (en) * | 2012-07-04 | 2014-01-09 | Oberthur Technologies | Method for verifying the security of a device for generating private and public cryptographic keys |
Non-Patent Citations (2)
Title |
---|
DONALD L EVANS ET AL: "FIPS PUB 140-2 CHANGE NOTICES (12-03-2002) SECURITY REQUIREMENTS FOR CRYPTOGRAPHIC MODULES CATEGORY: COMPUTER SECURITY SUBCATEGORY: CRYPTOGRAPHY", 12 March 2002 (2002-03-12), XP055142285, Retrieved from the Internet <URL:http://csrc.nist.gov/publications/fips/fips140-2/fips1402.pdf> [retrieved on 20140924] * |
MARC JOYE: "Protecting RSA against Fault Attacks: The Embedding Method", FAULT DIAGNOSIS AND TOLERANCE IN CRYPTOGRAPHY (FDTC), 2009 WORKSHOP ON, IEEE, PISCATAWAY, NJ, USA, 6 September 2009 (2009-09-06), pages 41 - 45, XP031627635, ISBN: 978-1-4244-4972-9 * |
Also Published As
Publication number | Publication date |
---|---|
WO2015132524A2 (fr) | 2015-09-11 |
FR3018372B1 (fr) | 2023-09-29 |
US9992016B2 (en) | 2018-06-05 |
FR3018372A1 (fr) | 2015-09-11 |
US20170078089A1 (en) | 2017-03-16 |
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