In this case, the defense attorney acknowledged his client's guilt in open court and focused his defense on reasons why the defendant's life should be spared. the evidence was so clearly indicative of the defendant's guilt, the supreme court did not feel the defense attorney's strategy was ineffective.

This was the case of

"Florida v. Nixon"              

Explanation:

            Joe Elton Nixon kidnapped and murdered a woman in Florida. The Florida court declared Nixon guilty of murder and sentenced him to hang till death. But during court case, Nixon's lawyer had told the jury that his client, Nixon was guilty. But Nixon said that he is not aware of the lawyer's strategy and does not agree to it.

           Nixon received counsel in violation of the Sixth Amendment. And after many appeals, the Florida court gave Nixon new trial. The court did not feel that the strategy Nixon's lawyer was  ineffective.

Thus the answer is --- "Florida v. Nixon" case