Secure integer arithmetic coding with adjustable interval size

This paper presents a secure integer arithmetic code that owns the capabilities of compression and encryption simultaneously. It is quite different from the randomized arithmetic code, the interval splitting arithmetic code, and the secure arithmetic code. All of them are applied to float-point arithmetic coding. Instead of float-point implementation, integer implementation is more popular since it can decrease the computational cost of arithmetic coding without inducing significant compression loss. During the implementation of integer arithmetic coding, we find that it is possible to lower the instantaneous entropy through the adjustment of interval size. Hence, we can design a secure integer arithmetic code (SIAC) with high security, and the compression efficiency of this code is almost the same or even higher than that of the traditional integer arithmetic code (TIAC).