Elliptic Curves and Cryptosystems

Author: Giorgi Svanadze
Keywords: Algebraic variety, elliptic curves, cyclic groups, cryptosystems, discrete logarithm, digital signature, electronic voting
Annotation:

The master thesis is about a particular case of algebraic variety – Elliptic curves and building cryptosystems on elliptic curves. This thesis proposes third-degree function with two variables’ properties, its geometric content and algebraic operations on curve points and building a group with these points. This work also represents practical problems that can be solved using elliptic curves, relevant proprietary software codes have been written.

Lecture files:

ელიფსური წირები და კრიპტოსისტემები [ka]