WO2001074006A1 - Dispositif et procede de generation de cles electroniques a partir de nombres premiers entre eux - Google Patents
Dispositif et procede de generation de cles electroniques a partir de nombres premiers entre eux Download PDFInfo
- Publication number
- WO2001074006A1 WO2001074006A1 PCT/FR2001/000796 FR0100796W WO0174006A1 WO 2001074006 A1 WO2001074006 A1 WO 2001074006A1 FR 0100796 W FR0100796 W FR 0100796W WO 0174006 A1 WO0174006 A1 WO 0174006A1
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- modb
- numbers
- couple
- case
- equality
- 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
- H04L9/30—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
- H04L9/3013—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 discrete logarithm problem, e.g. ElGamal or Diffie-Hellman systems
-
- 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
Definitions
- the invention relates to a method for generating electronic keys from integers between them and a device for implementing the method.
- the invention applies very particularly to public key cryptography protocols used for encryption of information and / or authentication between two entities and / or electronic signature of messages.
- the object of the invention is to remedy this disadvantage. It relates more particularly to a method of generating electronic keys from two whole numbers a, b, the method comprising a step of checking the co-primality of said numbers a, b, mainly characterized in that this step of checking includes the following operations:
- a subject of the invention is also a portable electronic device comprising an arithmetic processor and an associated program memory, capable of performing modular exponentiations, mainly characterized in that it comprises a program for verifying co-pnmality of whole numbers. of given length which performs the following operations:
- the portable electronic device consists of a smart card with microprocessor.
- FIG. 1 represents the block diagram of a portable electronic device such as a smart card implementing the method according to the invention
- FIG. 2 represents the diagram of an exemplary embodiment of the implementation of the method according to the invention.
- a commonality verification step is carried out by the microprocessor card. which implements the key generation process for the cryptography protocol.
- the two integers a, b remain secret, they must be prime to each other and have a fixed length generally of 512 bits or 1024 bits each.
- one of the two numbers b is an integer chosen in advance and stored among a set of numbers generated by the microprocessor card while the other number a is generated randomly by the microprocessor card.
- the microprocessor card has a random number generator, capable of supplying an integer of the desired size.
- FIG. 1 therefore represents the functional diagram of a microprocessor card capable of implementing the method according to the invention.
- Card C comprises a main processing unit 1, program memories 3 and 4 and a working memory (not shown), associated with unit 1.
- the card also comprises an arithmetic processor 2 capable of performing modular exponentiation calculations. These could for example be circuits such as the ST16CF54 circuit sold by the company STMicroelectronics or 83C852 / 5 from the company Philips.
- the card also has a random integer generator 5.
- the operation of verifying the co-primality of whole numbers a and b is carried out by steps A and B indicated in the diagram in FIG. 2, with the step of retaining the couple a, b for generate an electronic key if these numbers are prime to each other.
- this step consists in storing the couple a, b in the secure memory. laughing stock 6 (not accessible from the outside) of the arithmetic processor 2.
Landscapes
- Engineering & Computer Science (AREA)
- Computing Systems (AREA)
- Theoretical Computer Science (AREA)
- Computer Security & Cryptography (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Storage Device Security (AREA)
- Credit Cards Or The Like (AREA)
- Calculators And Similar Devices (AREA)
Abstract
Description
Claims
Priority Applications (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
MXPA02009343A MXPA02009343A (es) | 2000-03-28 | 2001-03-16 | Dispositivo y metodo para generar claves electronicas a partir de numeros primos mutuos. |
JP2001571604A JP2003529109A (ja) | 2000-03-28 | 2001-03-16 | 互いに素数である整数から電子鍵を生成する装置および方法 |
AU2001244260A AU2001244260A1 (en) | 2000-03-28 | 2001-03-16 | Device and method for generating electronic keys from mutual prime numbers |
EP01917166A EP1273127A1 (fr) | 2000-03-28 | 2001-03-16 | Dispositif et procede de generation de cles electroniques a partir de nombres premiers entre eux |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR0003919A FR2807246B1 (fr) | 2000-03-28 | 2000-03-28 | Procede de generation de cles electroniques a partir de nombres entiers premiers entre eux et dispositif de mise en oeuvre du procede |
FR00/03919 | 2000-03-28 |
Publications (1)
Publication Number | Publication Date |
---|---|
WO2001074006A1 true WO2001074006A1 (fr) | 2001-10-04 |
Family
ID=8848579
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
PCT/FR2001/000796 WO2001074006A1 (fr) | 2000-03-28 | 2001-03-16 | Dispositif et procede de generation de cles electroniques a partir de nombres premiers entre eux |
Country Status (8)
Country | Link |
---|---|
US (1) | US20010036267A1 (fr) |
EP (1) | EP1273127A1 (fr) |
JP (1) | JP2003529109A (fr) |
CN (1) | CN1270472C (fr) |
AU (1) | AU2001244260A1 (fr) |
FR (1) | FR2807246B1 (fr) |
MX (1) | MXPA02009343A (fr) |
WO (1) | WO2001074006A1 (fr) |
Families Citing this family (10)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
DE10061697A1 (de) * | 2000-12-12 | 2002-06-27 | Infineon Technologies Ag | Verfahren und Vorrichtung zum Ermitteln eines Schlüsselpaars und zum Erzeugen von RSA-Schlüsseln |
FR2841411B1 (fr) * | 2002-06-19 | 2004-10-29 | Gemplus Card Int | Procede de generation de cles electroniques pour procede de crytographie a cle publique et objet portatif securise mettant en oeuvre le procede |
DE10234973A1 (de) * | 2002-07-31 | 2004-02-19 | Giesecke & Devrient Gmbh | Erzeugen von Ergebniswerten mit einer vorgegebenen Eigenschaft |
US7113595B2 (en) * | 2002-08-09 | 2006-09-26 | Gemplus | Generation of a random number that is non-divisible by a set of prime numbers |
US7562052B2 (en) * | 2004-06-07 | 2009-07-14 | Tony Dezonno | Secure customer communication method and system |
JP2008532389A (ja) * | 2005-02-25 | 2008-08-14 | クゥアルコム・インコーポレイテッド | 認証のための小型の公開鍵を用いたデジタル署名 |
JP4988448B2 (ja) * | 2007-06-25 | 2012-08-01 | 株式会社日立製作所 | 一括検証装置、プログラム及び一括検証方法 |
US9182943B2 (en) * | 2013-03-08 | 2015-11-10 | Qualcomm Incorporated | Methods and devices for prime number generation |
US9842086B2 (en) * | 2013-07-18 | 2017-12-12 | Nippon Telegraph And Telephone Corporation | Calculation device, calculation method, and program |
FR3018372B1 (fr) * | 2014-03-06 | 2023-09-29 | Oberthur Technologies | Generation de message pour test de generation de cles cryptographiques |
Family Cites Families (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5675687A (en) * | 1995-11-20 | 1997-10-07 | Texas Instruments Incorporated | Seamless multi-section visual display system |
US5781723A (en) * | 1996-06-03 | 1998-07-14 | Microsoft Corporation | System and method for self-identifying a portable information device to a computing unit |
US6226744B1 (en) * | 1997-10-09 | 2001-05-01 | At&T Corp | Method and apparatus for authenticating users on a network using a smart card |
-
2000
- 2000-03-28 FR FR0003919A patent/FR2807246B1/fr not_active Expired - Fee Related
-
2001
- 2001-03-16 WO PCT/FR2001/000796 patent/WO2001074006A1/fr active Application Filing
- 2001-03-16 JP JP2001571604A patent/JP2003529109A/ja active Pending
- 2001-03-16 EP EP01917166A patent/EP1273127A1/fr not_active Withdrawn
- 2001-03-16 AU AU2001244260A patent/AU2001244260A1/en not_active Abandoned
- 2001-03-16 MX MXPA02009343A patent/MXPA02009343A/es unknown
- 2001-03-16 CN CNB018073328A patent/CN1270472C/zh not_active Expired - Fee Related
- 2001-03-28 US US09/818,658 patent/US20010036267A1/en not_active Abandoned
Non-Patent Citations (3)
Title |
---|
HARALD F; CHRISTIAN S: "Power permutations on prime residue classes", COMMUNICATIONS AND MULTIMEDIA SECURITY; PROCEEDINGS OF THE IFIP TC6, TC11 AND AUSTRIAN COMPUTER SOCIETY JOINT WORKING CONFERENCE ON COMMUNICATIONS AND MULTIMEDIA SECURITY, September 1995 (1995-09-01), pages 191 - 197, XP000972383, ISBN: 0-412-73260-2 * |
MENEZES A J; VAN OORSCHOT P; VANSTONE S: "Handbook of Applied Cryptography", 1997, CRC PRESS, BOCA RATON, FLORIDA 33431, USA, ISBN: 0-8493-8523-7, XP002155110 * |
See also references of EP1273127A1 * |
Also Published As
Publication number | Publication date |
---|---|
JP2003529109A (ja) | 2003-09-30 |
FR2807246A1 (fr) | 2001-10-05 |
AU2001244260A1 (en) | 2001-10-08 |
EP1273127A1 (fr) | 2003-01-08 |
CN1270472C (zh) | 2006-08-16 |
CN1419762A (zh) | 2003-05-21 |
MXPA02009343A (es) | 2003-02-12 |
US20010036267A1 (en) | 2001-11-01 |
FR2807246B1 (fr) | 2002-12-27 |
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