Dynamic S-BOX base on primitive polynomial and chaos theory

with the development of technology and the Internet, there is an urgent need to protect data from manipulation and illegal copying. Encryption is the best solution, but because of the exposure of traditional encryption algorithms such as advance encryption system (AES) to certain attacks, and due to weakness in the Substitution box (S-BOX). In this research was suggested a new approach is proposed to develop AES algorithm by generating your dynamic (S-BOX) to prevent unauthorized access to the message and by balancing the secure encryption and speed. Dynamic S-BOX is generated based on the password agreed between the sender and the receiver, equation private polynomial and chaos theory to increase diffusion, confusion and security. The algorithm is measured according to a set of the s-box tests standards including time, balanced, complexity, avalanche criterion and attack. The test results show me security, complexity S-BOX and any changing one byte of password or changing the agreed private polynomial or changing values logistic map will be obtained each time with different results S-BOX than the other. The time it takes to generate S-BOX takes only a few milliseconds this means speed of implementation and do not need specifications for the computer that is being implemented.