The following code fails to compile, producing a "Widget must be a non-abstract type with a public parameterless constructor" error. I would think that the compiler has all of the information it needs. Is this a bug? An oversight? Or is there some scenario where this would not be valid?

public class Factory<T> where T : new()
{
    public T Build()
    {
        return new T();
    }
}

public class Widget
{
    public Widget(string name = "foo")
    {
        Name = name;
    }

    public string Name { get; set; }
}

public class Program
{
    public static void Main()
    {
        var widget = new Widget(); // this is valid
        var factory = new Factory<Widget>(); // compiler error
    }
}