One of the novel technologies in the implementation of digital circuits is Quantum-Dot Cellular Automata (QCA) nanotechnology. This technology, which has been introduced over two decades ago, can be a great alternative to today’s CMOS chips. The main advantages of this technology include low occupation area and ultra-low power consumption. This paper presents an effective design and arrangement of one of the methods of pseudo random bit generator which is called linear feedback shift register (LFSR) in the technology of quantum cellular automata. In this research, using the D-latch and level to edge converter, a flip-flop is designed. The proposed D flip-flop and an XOR gate are used to design three new LFSR circuits in QCA technology. The simulation results show that the proposed designs have stable and useful structures in terms of area, latency and complexity. Simulations show that the first proposed 3-bit pseudo random code design has 233 cells, 4 clock delay cycles, and 0.27μm2 occupied area while the second proposed 3-bit design has 175 cells, 4 clock delay cycles, and 0.23 μm2 occupied area. In addition, the third proposed 3-bit LFSR has 188 cells, latency of 4 clock cycle and occupied area of 0.24 μm2. Power analysis are done for all of the designs.