  In this paper, for a given family of constraints and the classical Cantor
distribution we determine the constrained optimal sets of $n$-points, $n$th
constrained quantization errors for all positive integers $n$. We also
calculate the constrained quantization dimension and the constrained
quantization coefficient, and see that the constrained quantization dimension
$D(P)$ exists as a finite positive number, but the $D(P)$-dimensional
constrained quantization coefficient does not exist.
