FR3076013B1 - CRYPTOGRAPHIC PROCESSING PROCESS, COMPUTER PROGRAM AND ASSOCIATED DEVICE - Google Patents
CRYPTOGRAPHIC PROCESSING PROCESS, COMPUTER PROGRAM AND ASSOCIATED DEVICE Download PDFInfo
- Publication number
- FR3076013B1 FR3076013B1 FR1762862A FR1762862A FR3076013B1 FR 3076013 B1 FR3076013 B1 FR 3076013B1 FR 1762862 A FR1762862 A FR 1762862A FR 1762862 A FR1762862 A FR 1762862A FR 3076013 B1 FR3076013 B1 FR 3076013B1
- Authority
- FR
- France
- Prior art keywords
- computer program
- associated device
- quotient
- remainder
- cryptographic processing
- 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.)
- Active
Links
- 238000004590 computer program Methods 0.000 title abstract 2
- 238000000034 method Methods 0.000 title abstract 2
- 230000000873 masking effect Effects 0.000 abstract 1
Classifications
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- 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
- H04L9/003—Countermeasures against attacks on cryptographic mechanisms for power analysis, e.g. differential power analysis [DPA] or simple power analysis [SPA]
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F21/00—Security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F21/70—Protecting specific internal or peripheral components, in which the protection of a component leads to protection of the entire computer
- G06F21/71—Protecting specific internal or peripheral components, in which the protection of a component leads to protection of the entire computer to assure secure computing or processing of information
- G06F21/72—Protecting specific internal or peripheral components, in which the protection of a component leads to protection of the entire computer to assure secure computing or processing of information in cryptographic circuits
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L2209/00—Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
- H04L2209/04—Masking or blinding
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L2209/00—Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
- H04L2209/08—Randomization, e.g. dummy operations or using noise
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- 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
Abstract
Un procédé de traitement cryptographique d'une donnée (x), par exponentiation modulaire de module prédéterminé, comprend les étapes suivantes : - masquage d'une clé cryptographique (K) par addition, à la clé cryptographique (K), d'un multiple (M) de l'indicatrice d'Euler (ϕ(N)) associée au module prédéterminé ; - détermination du quotient (q) et du reste (r) de la division entière de la clé cryptographique masquée (K*) par une constante (v) ; - obtention d'un premier nombre (N1) par exponentiation modulaire de la donnée à un premier exposant égal au produit du quotient (q) par la constante (v) modifiée en fonction du reste (r) ; - obtention d'un second nombre (N2) par exponentiation modulaire de la donnée (x) à un second exposant déterminé en fonction du quotient (q) et du reste (r) ; - multiplication modulaire du premier nombre (N1) et du second nombre (N2). Un programme d'ordinateur et un dispositif associés sont également décrits.A method of cryptographic processing of data (x), by modular exponentiation of predetermined modulus, comprises the following steps: - masking of a cryptographic key (K) by addition, to the cryptographic key (K), of a multiple (M) of the Euler indicatrix (ϕ (N)) associated with the predetermined modulus; - determination of the quotient (q) and of the remainder (r) of the integer division of the masked cryptographic key (K *) by a constant (v); - obtaining a first number (N1) by modular exponentiation of the data to a first exponent equal to the product of the quotient (q) by the constant (v) modified as a function of the remainder (r); - Obtaining a second number (N2) by modular exponentiation of the data (x) to a second exponent determined as a function of the quotient (q) and the remainder (r); - modular multiplication of the first number (N1) and of the second number (N2). A computer program and an associated device are also described.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR1762862A FR3076013B1 (en) | 2017-12-21 | 2017-12-21 | CRYPTOGRAPHIC PROCESSING PROCESS, COMPUTER PROGRAM AND ASSOCIATED DEVICE |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR1762862 | 2017-12-21 | ||
FR1762862A FR3076013B1 (en) | 2017-12-21 | 2017-12-21 | CRYPTOGRAPHIC PROCESSING PROCESS, COMPUTER PROGRAM AND ASSOCIATED DEVICE |
Publications (2)
Publication Number | Publication Date |
---|---|
FR3076013A1 FR3076013A1 (en) | 2019-06-28 |
FR3076013B1 true FR3076013B1 (en) | 2020-11-06 |
Family
ID=62067628
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
FR1762862A Active FR3076013B1 (en) | 2017-12-21 | 2017-12-21 | CRYPTOGRAPHIC PROCESSING PROCESS, COMPUTER PROGRAM AND ASSOCIATED DEVICE |
Country Status (1)
Country | Link |
---|---|
FR (1) | FR3076013B1 (en) |
Family Cites Families (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
DE19963408A1 (en) * | 1999-12-28 | 2001-08-30 | Giesecke & Devrient Gmbh | Portable data carrier with access protection by key division |
JP5573964B2 (en) * | 2010-12-27 | 2014-08-20 | 富士通株式会社 | Cryptographic processing apparatus and method |
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2017
- 2017-12-21 FR FR1762862A patent/FR3076013B1/en active Active
Also Published As
Publication number | Publication date |
---|---|
FR3076013A1 (en) | 2019-06-28 |
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Owner name: IDEMIA FRANCE, FR Effective date: 20200120 |
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