Advanced Nonlinear Analysis Technique in Modern Transposition Ciphers

Particularly with modern transposition ciphers, the evolving field of cryptography requires advances in safe encryption methods. The key problem fixed is the absence of robust security against advanced cryptanalytic methods provided by traditional transposition ciphers. This work uses chaos theory to automate the production of substitution boxes (S-boxes), which are fundamental to transposition ciphers, so addressing this constraint. Strong nonlinearity and resistance to differential and linear cryptanalysis are produced by the proposed method by combining chaos-driven algorithms. The experimental data emphasizes the relative efficiency of the chaos-driven S-box to traditional transposition ciphers. In nonlinearity and differential uniformity, the chaos-driven S-box considerably exceeds the performance of the Columnar Transposition Cipher, Rail Fence Cipher, and Permutation Cipher achieving values of 65.00 to 78.00 and 2 respectively. considerable resistance to both linear and differential cryptanalysis indicated by this low differential uniformity and considerable nonlinearity greatly enhances its security profile.