2) Cryptographic Hash Functions: a. What are the 5 step functions in SHA-3? (10 points). b. For theta 0 step function, compute L[1,1] using state variable as 5x5 matrix of 4-bit as shown in Figure 1. (40 points). c. Using the same figure below, compute L[1,1] for chi x step function. (40 points). L[0,4]=0000 L[1,4]=1000 L[2,4]=1011 L[3,4]=1111 L[4,4]=1111 L[0,3]=0001 L[1,3]=1010 L[2,3]=0010 L[3,3]=0110 L[4,3]=1000 L[0,3]=1000 L[1,2]=1000 L[2,2]=1010 L[3,2]=1001 L[4,2]=0000 L[0,1]=0100 L[1,1]=0010 L[2,1]=1110 L[3,1]=1101 L[4,1]=0010 L[0,0]=1010 L[1,0]=0101 L[2,0]=0110 L[3,0]=1000 L[4,0]=1001 Figure 1: 5x5 matrix of 4-bit