That is a Window Access Rights issue, Sometimes windows gets a little "stupid" and does not give itself the appropriate access.
Too bad they slipped in that "unknown" prefix. Makes it much harder to find the right key.
Code 1401, 1402, 1406 Error or “program not installed for current user” “Setup cannot create Registry Key” “Setup cannot write the value to the registry key”- Error Installing Office or Opening Office App or Office File - FIX IT - Manual
fix OPA11.dat / Opa12.dat / DATA.dat-
http://support.microsoft.com/kb/838687
http://blogs.technet.com/b/odsupport/archive/2010/12/30/trouble shooting-office-installation-failures.aspx
http://answers.microsoft.com/en-us/office/forum/office\_2007-office\_install/error-1401-setup-cannot-create-registry-key/501e9e5c-8bc0-41be-a83b-40e52eeb1a8b
http://quicksolver.blogspot.in/2012/02/unable-to-install-office-2010-or-office.html
http://answers.microsoft.com/en-us/office/forum/office\_2007-office\_install/reinstall-ms-office-pro-plus2007-registry-error/4b7d7fd1-c128-4628-9a1f-fb68a9eed67e
http://answers.microsoft.com/en-us/office/forum/office\_2010-office\_install/how-to-install-office-2010-64bit-in-windows-8/5397eebe-20f2-41e4-8131-8262022ec4f8
<snip> Found the solution - Actually it was contained in one of the other numerous Questions on this same error. Simply run the command:
"secedit /configure /cfg %windir%\inf\defltbase.inf /db defltbase.sdb /verbose"
and that took care of the problem in a few seconds! </snip>
How to trouble shoot problems that you may experience when you try to activate an Office product
http://support.microsoft.com/kb/903275
opa11.dat/opa12.dat data.dat Apparently this still applies to 2010