What is the regulation that governs the types of locks that can be used for securing high value property?

AR 190-11 - Physical Security of Arms, Ammunition, and Explosives (AA&E)
AR 190-13 - The Army Physical Security Program
AR 190-51 - Security of Unclassified Army Property (Sensitive and Nonsensitive)

In AR 190-51 Appendix D, has the information that you're likely looking for. Since these items are not weapons, ammo, or explosives, I doubt you'll need 190-11 but you will need the other two. 190-13 states that a physical security program needs to be in place, therefore you will probably also want to look for an SOP in your unit regarding physical security.

As I mentioned in my other comment to your own response, the commander can sign a memorandum that will allow the storage of high value items in the arms room. I will get you an example of one tomorrow, sir. As a lower enlisted, I haven't done a FLIPL and I do not know the process but if I'm not mistaken, part of the FLIPL is coming up with a plan to help prevent the event from occurring again in the future. I think storing these items in the arms room would be a great plan since there is a lot more security that goes into it. Once again, I'll get an example of the memorandum tomorrow and I hope I have been of assistance.

Contact your Provost Marshall and/or IG.

With out too many details, my BN had some optics "walk off" and I am the IO for the FLIPL and I can't seem to find the correct regulation regarding the management of weapons optics. Would it be AR 190-11 or something else? These optics weren't sensitive items...they were "high value", though. What regulation governs the security of high value property?