The annotation is:
The goal of this work is to present the problem of the decomposition of a polynomial over a finite field into a product of irreducible polynomials. By describing algorithms solving this problem, we show that the decomposition can always be found in polynomial time in both the degree of the polynomial and the number of elements of the underlying finite field. One algorithm is studied in detail and an implementation with good asymptotic time complexity O(n^1.815 * log q) is described, where n is the degree of the polynomial over the field with q elements. A program using easier, but practically faster version of this algorithm is a part of this work.
The whole paper is in Czech and it can be downloaded as PDF, PS or PS.GZ.
An implementation of a factoring algorithm is a part of this work.
This program is written using C++
and can be
run only on IA-32 type processors. But it would not be difficult
to adjust it for different architectures. The whole program
and the documentation are in English. Additional documentation
can be found in the archive in the directory doc.
You can download :