cv04n - add column to alv with search result but with characteristics assigned to class for document

Hello, Collegues!

My question is about cv04n and search rusult in alv.

Is it possible to add characteristics* in alv (and structure**) for those doc type that being inserted on the first screen?

Or, maybe, make additional alv report for this task?

But, as for me, it is a bit strange to have cv04n and no opportunity to add characteristics:(

Can anybody resolve my question and give right way?

*Сharacteristics are assigned to class. Class assigned to doc type.

** FOUNDDRAW