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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 the polynomial
Each entry A_k is either one or zero.
[A_0 A_1 A_2 ... A_(m-1)] represents the polynomial
Each entry 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 least 2. poly2 and polystandard are row vectors. The entries of poly2 are distinct integers, and at least one entry must exceed 1. Each entry of polystandard is either 0 or 1.
Note If poly2 is a binary row vector, then 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
gfpretty, Galois Fields of Odd Characteristic
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