Bc. Ján Jančár

Bachelor's thesis

Security considerations for elliptic curve domain parameters selection

Security considerations for elliptic curve domain parameters selection
Abstract:
Táto bakalárska práca prezentuje prehľad známych podmienok bezpečnosti doménových parametrov kryptografie eliptických kriviek, spolu s diskusiou rôznych metód generovania týchto doménových parametrov, ako náhodné generovanie(exhaustive approach), generovanie pomocou overiteľne náhodných algoritmov(verifiably random algorithms) či pomocou metódy komplexnej multiplikácie. Demonštrujeme návrh a implementáciu …more
Abstract:
We present a summary of currently known security requirements of elliptic curve domain parameters together with a discussion of various methods for generating elliptic curve domain parameters, such as the exhaustive approach, verifiably random algorithms or a method using complex multiplication. We demonstrate a tool we built for fast generation of elliptic curve domain parameters using these methods …more
 

Keywords

elliptic curve cryptography elliptic curve domain parameters ECDLP ECDH ECDSA smart cards JavaCard cryptographic libraries
 
Language used: English
Date on which the thesis was submitted / produced: 22. 5. 2018
Identifier: https://is.muni.cz/th/maq0p/

Thesis defence

  • Date of defence: 25. 6. 2018
  • Supervisor: RNDr. Petr Švenda, Ph.D.
  • Reader: Mgr. Vladimír Sedláček

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