Generating substitution boxes with 104 non-linearity for AES using chaos

In this research substitution boxes are built for Advanced Encryption Standard cryptosystem -AES-, using the Chaos procedure. Chaos is generated by a non-linear differential equation. Levels of boxes non- linearity using the Walsh function are measured. Eight thousand one hundred ninety-two boxes are constructed with non-linearity of 104. This article uses AES-128 with one box in each round, which is taken from the 8192 generated. An encryption application to colour images is presented. The randomness degree in the ciphered images to quantify encryption quality is measured. Image encryption is performed without loss of information, i.e., the JPEG format type is not used.