models for answering questions on the existence of secure families of sequence generators. 5. Design and analysis of families of sequences for secure spread-spectrum communications. These sequences include geometric sequences and d-form sequences (the latter invented by me).

We apply the framework of -adic algebra and algebraic feedback shift registers to polynomial rings over nite elds. We give a construction of new pseudorandom sequences over a non-prime nite eld that satisfy Golomb's randomness criteria.