Hesham M. al-Salman Nov 2001
13
(7,4) Code Generated by 1+X+X3
Infor. Code Code
polynomials
0000 0000000 0
= 0 . g(X)
1000 1101000 1
+ X + X3 = 1 . g(X)
0100 0110100 X
+ X2 + X4 = X . g(X)
1100 1011100 1
+ X2 + X3 + X4 = (1 + X) . g(X)
0010 0011010 X2 + X3 + X5 = X2 . g(X)
1010 1110010 1
+ X+ X2 + X5 = (1 + X2) .
g(X)
0110 0101110 X+
X3 + X4 + X5 = (X+ X2) . g(X)
1110 1000110 1
+ X4 + X5 = (1 + X + X2) . g(X)
0001 0001101 X3 + X4 + X6 = X3 . g(X)