Convert one binary polynomial representation to another
polystandard = gfrepcov(poly2)
Two logical ways to represent polynomials over GF(2) are listed below.
[A_0 A_1 A_2 ... A_(m-1)] represents
A_k is either one or zero.
[A_0 A_1 A_2 ... A_(m-1)] represents the polynomial
A_k is a nonnegative integer.
All entries must be distinct.
Format 1 is the standard form used by the Galois field functions in this toolbox, but there are some cases in which format 2 is more convenient.
polystandard = gfrepcov(poly2) converts
from the second format to the first, for polynomials of degree at
row vectors. The entries of
poly2 are distinct
integers, and at least one entry must exceed 1. Each entry of
either 0 or 1.
poly2 is a binary row
gfrepcov assumes that it is already in
Format 1 above and returns it unaltered.
The command below converts the representation format of the polynomial 1 + x2 + x5.
polystandard = gfrepcov([0 2 5])
polystandard = 1 0 1 0 0 1