  A Z2-triple cyclic code of block length (r,s,t) is a binary code of length
r+s+t such that the code is partitioned into three parts of lengthsr,s andt
such that each of the three parts is invariant under the cyclic shifts of the
coordinates. Such a code can be viewed as Z2[x]-submodules of
Z_2[x]/<x^r-1>xZ_2[x]/<x^s-1>xZ_2[x]/<x^t-1>, in polynomial representation. In
this paper, we determine the structure of these codes. We have obtained the
form of the generators for such codes. Further, a minimal generating set for
such a code is obtained. Also, we study the structure of the duals of these
codes via the generators of the codes.
