  This paper explores the deep-zoom properties of the chaotic k-logistic map,
in order to propose an improved chaos-based cryptosystem. This map was shown to
enhance the random features of the Logistic map, while at the same time
reducing the predictability about its orbits. We incorporate its strengths to
security into a previously published cryptosystem to provide an optimal
pseudo-random number generator (PRNG) as its core operation. The result is a
reliable method that does not have the weaknesses previously reported about the
original cryptosystem.
