Essays about: "Discrete Logarithm Elliptic Curve Problem"
Found 4 essays containing the words Discrete Logarithm Elliptic Curve Problem.
-
1. On Pollard's rho method for solving the elliptic curve discrete logarithm problem
University essay from Linnéuniversitetet/Institutionen för matematik (MA)Abstract : Cryptosystems based on elliptic curves are in wide-spread use, they are considered secure because of the difficulty to solve the elliptic curve discrete logarithm problem. Pollard's rho method is regarded as the best method for attacking the logarithm problem to date, yet it is still not efficient enough to break an elliptic curve cryptosystem. READ MORE
-
2. Points of High Order on Elliptic Curves : ECDSA
University essay from Linnéuniversitetet/Institutionen för matematik (MA)Abstract : This master thesis is about Elliptic Curve Digital Signature Algorithm or ECDSA and two of the known attacks on this security system. The purpose of this thesis is to find points that are likely to be points of high order on an elliptic curve. If we have a point P of high order and if Q = mP, then we have a large set of possible values of m. READ MORE
-
3. Elliptic Curves Cryptography
University essay from Institutionen för datavetenskap, fysik och matematik, DFMAbstract : In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a vast area of mathematics. Elliptic curves have basics in group theory andnumber theory. The points on elliptic curve forms a group under the operation of addition. READ MORE
-
4. Elliptic Curves Cryptography
University essay from Institutionen för datavetenskap, fysik och matematik, DFMAbstract : In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a vast area of mathematics. Elliptic curves have basics in group theory andnumber theory. The points on elliptic curve forms a group under the operation of addition. READ MORE
