On one-sided, D-chaotic CA without fixed points, having continuum of periodic points with period 2 and topological entropy log(p) for any prime p

A method is known by which any integer n ≥ 2 in a metric Cantor space of right-infinite words Ã^N_n gives a construction of a non-injective cellular automaton (Ã^N_n , F_n), which is chaotic in Devaney sense, has a radius r = 1, continuum of fixed points and topological entropy log(n): As a generalization of this method we present for any integer n ≥ 2, a construction of a cellular automaton (A^N_n , F_n); which has the listed properties of (Ã^N_n , F_n), but has no fixed points and has continuum of periodic points with the period 2. The construction is based on properties of cellular automaton introduced here (B^N, F) with radius 1 defined for any prime number p: We prove that (B^N, F) is non-injective, chaotic in Devaney sense, has no fixed points, has continuum of periodic points with the period 2 and topological entropy log(p).