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Algorithms for factorization of integers of particular form
 Lorenc, Filip ; Příhoda, Pavel (advisor) ; Růžička, Pavel (referee)
This bachelor thesis deals with three factorization algorithms - Pollard p-1 method, Williams p+1 method and elliptic curve method ECM. This work aims to describe these algorithms theoretically and then compare them on real inputs. For each algorithm we describe its basic and extended version and then we derive their time complexity. In the first chapter we define B-powersmooth and B-smooth number and we state their approximation. The second, third and fourth chapter is about description of algorithms and in the last chapter we compare their effectiveness and performance. A part of the work contains basic theory about elliptic curves, which is necessary in ECM. There is also included a program containing all these algorithms.
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