  Identity disclosure of an individual from a released data is a matter of
concern especially if it belongs to a category with low frequency in the
data-set. Nayak et al. (2016) discussed this problem vividly in a census report
and suggested a method of obfuscation, which would ensure that the probability
of correctly identifying a unit from released data, would not exceed t for some
1/3 < t < 1. However, we observe that for the above method the level of
security could be extended under certain conditions. In this paper, we discuss
some conditions under which one can achieve a security for any 0 < t < 1.
