A General View of Coding and Convolutional Codes

Hesham M. al-Salman Nov 2001

(7,4) Code Generated by 1+X+X3

nInfor. Code Code polynomials

n1001 1100101 1 + X + X4 + X6 = (1 + X3) . g(X)

0101 0111001 X+ X2 + X3 + X6 = (X+ X3) . g(X)

1101 1010001 1 + X2 + X6 = (1 + X + X3) . g(X)

n0011 0010111 X2 + X4 + X5 + X6 = (X2 + X3). g(X)

1011 1111111 1 + X + X2 + X3 + X4 + X5 + X6
= (1 + X2 + X3) . g(X)

n0111 0100011 X + X5 + X6 = (X + X2 + X3). g(X)

1111 1001011 1 + X3 + X5 + X6
= (1 + X + X2 + X3) . g(X)