access modifiers - How to make a property protected AND internal in C#?

Question

Here is my shortened abstract class:

abstract class Report {

    protected internal abstract string[] Headers { get; protected set; }
}

Here is a derived class:

class OnlineStatusReport : Report {

    static string[] headers = new string[] {
        "Time",
        "Message"
    }

    protected internal override string[] Headers {
        get { return headers; }
        protected set { headers = value; }
    }

    internal OnlineStatusReport() {
        Headers = headers;
    }
}

The idea is, I want to be able to call Report.Headers from anywhere in the assembly, but only allow it to be set by derived classes. I tried making Headers just internal, but protected does not count as more restrictive than internal. Is there a way to make Headers internal and its set accessor protected AND internal?

I feel like I'm grossly misusing access modifiers, so any design help would be greatly appreciate.

Answer 1

It's not possible in C#.

Just for the sake of completeness, this is supported in IL (family and assembly access modifier).