Hi Jonathan,
Let g(x) be generator polynomial.
If g(x) = x^3 + x + 1 = 1 + x + x^3 is a generator polynomial, then the corresponding generator polynomial vector(genpoly) would be [1 1 0 1] but not [1 0 1 1]. In that case, for g(x) = x^3 + x^2 + 1, then genpoly would be [1 0 1 1] but not [1 1 0 1]. ‘genpoly’ is obtained from g(x) considering g(x) is written in increasing powers of x.
The following code snippet helps you finding generator matrix for g(x) = x^3 + x^2 + 1 = 1 + x^2 + x^3
genpoly=[1 0 1 1];
[parmat,genmat]=cyclgen(7,genpoly,'nonsys')
[parmatsys,genmatsys]=cyclgen(7,genpoly,'system')
The following code snippet helps you finding generator matrix for g(x) = x^3 + x + 1 = 1 + x + x^3
genpoly=[1 1 0 1];
[parmat,genmat]=cyclgen(7,genpoly,'nonsys')
[parmatsys,genmatsys]=cyclgen(7,genpoly)
Hope the query is resolved
