Using Symmetric Group to Generate Dynamic S-box

Abstract

The main purpose of utilizing s-box (static, or dynamic) is to encrypt data with/without decrypt cipher-data, s-box may be a public in the cipher method, but if it’s private and included with steps of the cipher method, and depended it on the key cipher method. This work used the integer chaos data which are generated from the tent chaos map and symmetric group Sn in order to generate the private dynamic s-box between the sender and the receiver. An initial n × m s-box constructed by utilizing the random mixed between integer chaos sequence, and key method, with random element of symmetric group. The generation of s-box depend on the sequence I_cs, where I_cs generated from chaos sequence called Tent map is a simple linear function T(x_n) such that to convert Tent chaos sequence x₁, x₂, …, x_n to integer sequence d₁, d₂, …, d_n. When the proposed method analyzed provide high randomness and high sensitivity to any simple changes of the initial used values.