This thesis deals with creation of elliptic curves generator. MIRACL library and C++ language are used. One of important issues is to determine the order of the elliptic curve group. SEA algorithm (Schoof–Elkies–Atkin) is used for point counting on the elliptic curve. Method with this algorithm is called as counting points method, SEA method etc. Next method is CM method. Both methods are available in the generator. The measurements of dependency of basic operations speed on the group size and parameters were done. ECIES hybrid scheme was implemented. It is practical verification of proper functionality of the generator. Another benchmarks measured dependency of ECIES encryption and decryption on various parameters, e.g. size of the curve, generating method, message size etc.
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:401955 |
| Date | January 2019 |
| Creators | Herbrych, Daniel |
| Contributors | Hajný, Jan, Fujdiak, Radek |
| Publisher | Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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