An Application of Metacyclic and Miller Moreno P-groups to Establishment Protocol

The protocol of Ko K., Lee S., are improved and generalized on base of metacyclic and nonmetacyclic p-groups of type Miller-Moreno (minimal non-abelian group). We show that the decompositionproblem in this group is intractable. It is proved that the conjugacy problem in this group is also intractable.Further, we have constructed an algorithm of generating (designing) of common key for a non-commutativegroup with two mutually commuting subgroups has been constructed by us.