{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# solutions - EE 421 Fall 2010 Homework 1 Chapter 1...

This preview shows pages 1–3. Sign up to view the full content.

EE 421 – Fall 2010 - Homework 1 Chapter 1 Chapter 2 1) Addition in GF(9) + 0 1 2 3 4 5 6 7 8 0 0 1 2 3 4 5 6 7 8 1 1 2 3 4 5 6 7 8 0 2 2 3 4 5 6 7 8 0 1 3 3 4 5 6 7 8 0 1 2 4 4 5 6 7 8 0 1 2 3 5 5 6 7 8 0 1 2 3 4 6 6 7 8 0 1 2 3 4 5 7 7 8 0 1 2 3 4 5 6 8 8 0 1 2 3 4 5 6 7 3+7=1, 2+5=7, 8+8=7, 5-3=5+6=2 2) Addition in GF(13) + 0 1 2 3 4 5 6 7 8 9 10 11 12 0 0 1 2 3 4 5 6 7 8 9 10 11 12 1 1 2 3 4 5 6 7 8 9 10 11 12 0 2 2 3 4 5 6 7 8 9 10 11 12 0 1 3 3 4 5 6 7 8 9 10 11 12 0 1 2 4 4 5 6 7 8 9 10 11 12 0 1 2 3 5 5 6 7 8 9 10 11 12 0 1 2 3 4 6 6 7 8 9 10 11 12 0 1 2 3 4 5 7 7 8 9 10 11 12 0 1 2 3 4 5 5 8 8 9 10 11 12 0 1 2 3 4 5 6 7 9 9 10 11 12 0 1 2 3 4 5 6 7 8 10 10 11 12 0 1 2 3 4 5 6 7 8 9 11 11 12 0 1 2 3 4 5 6 7 8 9 10 12 12 0 1 2 3 4 5 6 7 8 9 10 11 m= (m0,m1,m2,m3,m4) c5= m0+m1+m4 c6= m1+m3+m4 c7= m2+m3 c8= m3+m4 c=(c0,c1,c2,c3,c4,c5,c6) = (m0,m1,m2,m3,m4,c5,c6,c7,c8) 1) M=(0,0,0,1,0) c= (0,0,0,1,0,0,1,1,1) 2) M=(0,0,1,0,0) c= (0,0,1,0,0,0,0,1,0) 3) M=(1,1,1,1,1) c= (1,1,1,1,1,1,1,0,0) 4) M=(1,0,1,0,1) c= (1,0,1,0,1,0,1,1,1)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document