Hit any potholes, lately? Are they Hankook's? Been a bit of talk lately regarding this...especially with this brand. And, talk of a sidewall bulge as a result of potholes. Not all were attributed to potholes, however.
Regardless of tire brand, the warranty isn't Hyundai's to deal with for restitution. These are warranted by the tire manufacturer. You could try discussing this with a local tire store that handles the brand. Just don't go in expecting to get a new tire. And tire dealers are NOT real excited about replacing a tire. The warranty covers defects attributed to materials and workmanship. The burden of proof is upon you, unfortunately. It's not the car's fault. ALL car tires are warranted ONLY by the tire manufacturer.
You could try going to your dealer and seeing if they'll offer any advice. You might get a new tire. But based on the majority of posts I've read on here, I wouldn't hold my breath.
Keep us posted on this and how you make out. And watch that bump carefully. The last thing you need is a sidewall separation or blowout at highway speeds.
One more note: OEM tires on new vehicles, for the most part, are somewhere in the "junk to mediocre" range. When replacement time comes, step up to the plate and hit a home run for something better. It'll cost you, but you will be happier with the end result.