We'll investigate new approaches to parallel lossless lightweight compression methods based on fixed-length minimum bit encoding for GPU processors. We'll discuss various memory access patterns and develop a new optimal memory organization. By utilizing new inter-thread and inter-warp communication abilities, we propose algorithms that suit the GPU architecture better. As a result, we significantly improve compression ratio and bandwidth. This allows for many new applications in computational clusters as well as in computational algorithms. Our claims are supported by tests conducted using simulated data and TPC-H database benchmarking tools.