Second World Conference on Information Technology (WCIT'2011), Antalya, Turkey, 23 - 27 November 2011, pp.1166-1171
In this work we introduce and study a new family of one dimensional nonlinear cellular automaton which we name as quadratic cellular automata over ternary fields (Z3). This family is defined by using the quadratic forms as local transition functions. Further, we define hybrid quadratic cellular automata. Under periodic, null, and reflective boundary conditions it is shown that for some special local rules, hybrid quadratic cellular automata provide a good source for generating pseudo random numbers. The pseudo random numbers generated by hybrid quadratic cellular automata has passed the preliminary tests such as serial, runs, frequency, and poker.