group ring

High Order Units in Group Rings Specified by Finite Field and Dihedral Group

The basis of a significant amount of cryptographic systems for information protection are different computationally hard problems. One of these problems is finding the discrete logarithm value in a certain finite group. The problem is to obtain for any two given elements of this group such natural number that the first element  to  the  power  of  the  number  equals  the  second element.