Authentication of cellular telephone device by providing a first one-time pad cryptological table to a security server which has multiple sequenced One Time Pad value entries including a previous use indicator initialized as "unused", and providing a second one-time pad cryptological table to an authentic device initially synchronized with the first table. A cloned copy of the second table is stored in an inauthentic cellular telephone device, these third table being initially synchronized with the second table. The authentic device selects an unused entry in the second table and transmits it to the server when requesting service. If the received entry matches a next sequential unused entry in the first table, the server grants service, and both server and authentic device mark that entry as used. If the received entry does not match a sequentially next unused entry in the first table, service is denied to the requesting device.