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The calculation here will be dependent on the time for which 8A peak is required . For example let's say if it is required for 20 microsecond , than you can easily use average current value for inductance calculation and than calculate the output capacitance based on Cdv/dt=I where dv= allowable change in regulated voltage(assume 1V) , dt is the time for which peak current is required(assume 20uS) and I being the peak current(8A) . This will give you the value of output capacitance as 160uF .
Now if the peak was required for greater time , you would have ended up with some very high value of capacitance . If that is the case , you should calculate the inductance value based on Peak current requirements .