PL2527970T3 - Sposób kodowania kryptograficznego na krzywej eliptycznej - Google Patents

Sposób kodowania kryptograficznego na krzywej eliptycznej

Info

Publication number
PL2527970T3
PL2527970T3 PL12169583T PL12169583T PL2527970T3 PL 2527970 T3 PL2527970 T3 PL 2527970T3 PL 12169583 T PL12169583 T PL 12169583T PL 12169583 T PL12169583 T PL 12169583T PL 2527970 T3 PL2527970 T3 PL 2527970T3
Authority
PL
Poland
Prior art keywords
elliptic curve
cryptographic encoding
cryptographic
encoding
elliptic
Prior art date
Application number
PL12169583T
Other languages
English (en)
Inventor
Yannick Sierra
Franck Rondepierre
Original Assignee
Oberthur Technologies
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 Oberthur Technologies filed Critical Oberthur Technologies
Publication of PL2527970T3 publication Critical patent/PL2527970T3/pl

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
    • 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
    • H04L9/3066—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • Computing Systems (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Computer Security & Cryptography (AREA)
  • Signal Processing (AREA)
  • Algebra (AREA)
  • General Engineering & Computer Science (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Complex Calculations (AREA)
  • Error Detection And Correction (AREA)
PL12169583T 2011-05-27 2012-05-25 Sposób kodowania kryptograficznego na krzywej eliptycznej PL2527970T3 (pl)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR1154680A FR2975799B1 (fr) 2011-05-27 2011-05-27 Procede d'encodage cryptographique sur une courbe elliptique

Publications (1)

Publication Number Publication Date
PL2527970T3 true PL2527970T3 (pl) 2017-02-28

Family

ID=46125321

Family Applications (1)

Application Number Title Priority Date Filing Date
PL12169583T PL2527970T3 (pl) 2011-05-27 2012-05-25 Sposób kodowania kryptograficznego na krzywej eliptycznej

Country Status (3)

Country Link
EP (1) EP2527970B1 (pl)
FR (1) FR2975799B1 (pl)
PL (1) PL2527970T3 (pl)

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE69534603T2 (de) * 1994-07-29 2006-08-03 Certicom Corp., Mississauga Verschlüsselungssystem für elliptische kurve
FR2946819B1 (fr) * 2009-06-16 2011-07-01 Sagem Securite Cryptographie sur une courbe elliptique.

Also Published As

Publication number Publication date
FR2975799B1 (fr) 2013-06-21
FR2975799A1 (fr) 2012-11-30
EP2527970B1 (fr) 2016-07-06
EP2527970A1 (fr) 2012-11-28

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