s-Random Interleaving Pattern Code with s=21

This MATLAB implementation generates a 1024-bit code pattern using s-random interleaving with parameter s=21. The algorithm creates a pseudorandom permutation that ensures no two elements within distance s maintain their relative positions after interleaving, enhancing pattern security and complexity. Implementation Steps: 1. Launch MATLAB on your system 2. Create a new script file 3. Input the following code: Parameter initialization: s = 21; % Defines the s-random interleaving parameter N = 1024; % Specifies the pattern length (1024 bits) x = 1:N; % Creates an initial sequential index array Core algorithm: y = rem(s*x, N); % Generates base pattern using modulo arithmetic y = y(randperm(length(y))); % Applies random permutation for enhanced randomness 4. Save the file with .m extension 5. Execute the script in MATLAB The s-random interleaving technique produces significantly more secure patterns than simple random permutations by preventing close elements from remaining adjacent after interleaving. This implementation combines mathematical operations with random shuffling to create robust interleaving patterns suitable for communication systems and cryptographic applications. Key functions used: - rem(): Computes remainder after division for pattern generation - randperm(): Creates random permutation of array elements - length(): Determines array size for proper indexing The resulting pattern exhibits improved spreading properties and enhanced resistance to cryptanalytic attacks compared to conventional random interleavers.