galois.ReedSolomon.roots

property galois.ReedSolomon.roots : FieldArray

The $2 t$ roots of the generator polynomial. These are consecutive powers of $α$ , specifically $α^{c}, α^{c + 1}, \dots, α^{c + 2 t - 1}$ .

Examples¶

In [1]: rs = galois.ReedSolomon(15, 9); rs
Out[1]: <Reed-Solomon Code: [15, 9, 7] over GF(2^4)>

In [2]: rs.roots
Out[2]: GF([ 2,  4,  8,  3,  6, 12], order=2^4)

Evaluate the generator polynomial at its roots.

In [3]: rs.generator_poly(rs.roots)
Out[3]: GF([0, 0, 0, 0, 0, 0], order=2^4)