How odd. The Samsung manual (which I believe is appropriate for your product) says the Warranty Card is included. Did your model come with any paperwork in the box?
http://downloadcenter.samsung.com/content/UM/201611/20161115104746986/UH5003_ZC_BN68-08225Y-00_ENG_160922.0.pdf

"Accessories"
"Warranty Card / Regulatory Guide"

Amazon has three different links for Warranty information, but all of it model and date agnostic, though actual papers wouldn't necessarily be any clearer on applicable models.