Assuming you're using CGI.pm, here's a small excerpt from its documentation:

       When the form is processed, all checked boxes will be
       returned as a list under the parameter name 'group_name'.
       The values of the "on" checkboxes can be retrieved with:

             @turned_on = $query->param('group_name');
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Substitute 'group_name' with 'desig' and you've got an array of each checked checkbox's value.