This study proposes a new linear positioning system based on De-Bruijn sequence and array of Hall-effect sensors to offer adaptability for length to account for diverse linear position sensing applications. The encoding sequence of the proposed system utilizes Eulerian circuit algorithm to generate non-repetitive magnetic encoding subsequence to achieve arbitrary length which has not been achieved by known methods. The proposed method and system not only satisfy requirements of cyclic encoding, but also avoid the common issue of subsequence repetition at junctions. The array Hall-effect sensors are equipped with an FPGA module for real-time recognition, enabling the system to achieve sensitive dual-track positioning and provide high repeatability and accuracy measurement results.