Arserim, Muhammet AliTürk, Ömer2026-02-152026-02-1520251309-86402146-4391https://doi.org/10.24012/dumf.1822418https://search.trdizin.gov.tr/en/yayin/detay/1385298/fpga-based-cosimulation-of-s-box-constitution-from-fractional-order-liu-systemhttps://hdl.handle.net/20.500.12514/10321Substitution box(S-box) has an important duty in encryption. In recent years plenty of S-box designs by chaotic systems have been studied. In this paper a high speed S-box constitution from fractional order Liu system on FPGA is proposed. The design was implemented by using Xilinx System Generator(XSG) toolbox in MATLAB/Simulink software in single precision floating point numbers format and a low cost Basys 3 FPGA trainer card was used. In addition, numerical fractional order equations was solved by using Grünwald-Letnikov(GL) method with 1024 elements length. The S-box table was constructed about 0.137s. After all performance analyzes as nonlinearity, strict avalanche criterion, differential probability, bits independent criterion, and equiprobable input/output XOR distribution, were performed. The performance analyzes shown that the design was satisfactory.en10.24012/dumf.1822418info:eu-repo/semantics/openAccessArticle