The high-stakes patent battle between Apple Inc. and Samsung Electronics Co. is now before the U.S. Supreme Court, with Samsung claiming that it did not infringe Apple's design patents and should not be punished with a $399 million penalty.

Samsung, represented by veteran court advocate Kathleen Sullivan, chairwoman of the appellate practice Quinn Emanuel Urquhart & Sullivan, filed a petition for certiorari on Monday asking the justices to overturn an appeals court ruling that sided with Apple in September.

The $399 million figure represents Samsung's entire profits from sales of smartphones that used the disputed designs, Samsung claims, and if upheld would invite “unjustified windfalls far exceeding the conceivable value of any inventive contribution.”