4 research outputs found
Pszeudorandom bitsorozatok generálása, vĂ©letlensĂ©gĂ©nek mĂ©rĂ©se, sorozatok összehasonlĂtása
A dolgozatomban pszeudorandom bitsorozatok generálásának erĹ‘forrásigĂ©nyĂ©t mutatom be Ă©s hasonlĂtom össze kĂĽlönbözĹ‘ algoritmusokkal
On the cross-combined measure of families of binary lattices and sequences
The cross-combined measure (which is a natural extension of
cross-correlation measure) is introduced and important constructions of large families of binary lattices
with optimal or nearly optimal cross-combined measures are presented. These results are also strongly related
to the one-dimensional case: An easy method is showed obtaining strong constructions of families of binary
sequences with nearly optimal cross-correlation measures based on the previous constructions of families of lattices.
The important feature of this result is that so far there exists only one type of constructions of very large families
of binary sequences with small cross-correlation measure, and this only type of constructions was based on one-variable irreducible polynomials. Since it is very complicated to construct one-variable irreducible polynomials over , it became necessary to show other types of constructions where the generation
of sequences is much faster. Using binary lattices based on
two-variable irreducible polynomials this problem can be avoided. (Since, contrary to one-variable polynomials,
using Sch\"oneman-Eisenstein criteria it is possible to generate two-variable irreducible polynomials over fast.