"padded with" is correct and usable in written English.
It is used to describe something with an extra layer or material added. For example, "The sofa was padded with thick cushions for extra comfort."
The edges are padded with a constant = 0.
"Why We Lost" arrives well padded with war stories.
When a bell has a small number of modes, the extra rows are padded with NaNs.
The handles, padded with black rubber, were gentle on the hands.
The film is padded with commentary about what it all meant, but it barely matters.
For colder weather, clothing was padded with cotton or silk or lined with fur.
The search-and-rescue operation was small-scale and well padded with diplomatic excuses.
Highly polished furniture was covered with wax paper, and then padded with burlap.
It's a bountiful haul, padded with alternate takes, but it's also familiar ground.
"It's not like Chelsea Piers, where the floor is padded, with springs.
When the transfer points were padded with Poron foam sheet, significantly lower levels of impact were recorded by the sensor.
