If you are sure there is no company policy about it, then if you bring it up I can guarantee you the company will say no.
Is this a privately held company? if so, and the owner is a gun advocate, you might get a green light. But I highly, highly doubt it. Publically traded company, no way.
Furthermore, the owner of the building may have in the lease agreement with your company a rule about no weapons, etc.
So, that would obviously prevent you from CCH inside too.
The safest thing is to ask HR, knowing they will ultimately say NO and then have to update the company policy.
Or you could never say anything and just carry. Realize it might be discoverd one day and then you have to deal with it.
But, you like your company and you don't want or need to get in trouble, and the work area including parking lot is very safe barring some crazy person, right?
You could leave your gun in the trunk, assuming you have a trunk, while in work since you are located in a crime free area. Or locked in the vehicle out of sight if no trunk.