galois.BCH.roots

property galois.BCH.roots : FieldArray

The $2 t$ roots of the generator polynomial. These are consecutive powers of $α$ , specifically $α, α^{2}, \dots, α^{2 t}$ .

Examples¶

In [1]: bch = galois.BCH(15, 7); bch
Out[1]: <BCH Code: [15, 7, 5] over GF(2)>

In [2]: bch.roots
Out[2]: GF([2, 4, 8, 3], order=2^4)

# Evaluate the generator polynomial at its roots in GF(2^m)
In [3]: bch.generator_poly(bch.roots, field=bch.field)
Out[3]: GF([0, 0, 0, 0], order=2^4)