Problem 1. Consider the following S-box with 3 input bits and 3 output bits (a 3 3 S-box): Input: 000 001 010 011 100 101 110 111 Output: 110 101 001 000 011 010 111 100 (a) Make a linear approximation table for this S-box, analogous to Ta (b) What is the highest probability bias (either positive or negative) of any input sum and output sum