Minimum octane generally implies the minimum required to run the car acceptably and not potentially damage the engine. Most of the cars built in the past 10 - 15 years have a knock sensor monitored by the ECU (Engine Control Unit). It will advance the timing until it hears knock. So using a higher octane above minimum specified *MAY* deliver more power. Depends on car, ECU program, altitude, tuning, phase of the moon (lol), etc.