Couple of things you can try. See can you access like so
\\dcerouter\home\public\data\other\windows share of nas
Using putty login decrouter check file permission
cd \home\public\data\videos\windows nas press enter
ls -li enter
You may need to replace video with other
Sounds like root has the access
While still same folder make a new folder
mkdir test
Cd out
Then chown your user names here -R \home\public\data\videos\window nas\test
Then see can you access it on the windows machine
My guess is you will get access under \home\public\data\other\windows nas
Cheers
Govo