  In this paper, we study linear cellular automata (CAs) on Cayley tree of
order 2 over the field $\mathbb F_p$ (the set of prime numbers modulo $p$). We
construct the rule matrix corresponding to finite cellular automata on Cayley
tree. Further, we analyze the reversibility problem of this cellular automaton
for some given values of $a,b,c,d\in \mathbb{F}_{p}\setminus \{0\}$ and the
levels $n$ of Cayley tree. We compute the measure-theoretical entropy of the
cellular automata which we define on Cayley tree. We show that for CAs on
Cayley tree the measure entropy with respect to uniform Bernoulli measure is
infinity.
