%hash=("$country"=>{
             "$errorcode=>{
         $messagetype=>{                         "count"=>"value"}}})
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is a four dimensional hash, not three dimensionial.

You also sometimes use count and sometimes $count. In fact, the way you use it when you're trying to print out the values, I get the impression that $hash{$country}{$errorcode}{$message} only has one key, 'count'. Since %hash is such an uninformative name, why not save a dimension and move 'count' to be the name:

$count{$country}{$errorcode}{$message} += 1;
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