Examples
// GF(4): 0, 1, alpha, alpha^2 = 1 + alpha gf_elements(gf_create_field(2, 2)) // GF(3): 0, 1, 2 gf_elements(gf_create_field(3, 1)) |  |  |
Elements of a finite field as Scilab polynomials
e = gf_elements(F)
A field created by gf_create_field.
Column vector of p^n Scilab polynomials in x.
gf_elements(F) returns every element of F as a polynomial in x, in the order of the element table F(4):
for n = 1: 0, 1, ..., p-1;
for n > 1: 0, then α^0, α^1, ..., α^(p^n - 2), where x stands for α.
Use F(4) directly to get the same elements as coefficient rows, which is the form the arithmetic functions accept.
// GF(4): 0, 1, alpha, alpha^2 = 1 + alpha gf_elements(gf_create_field(2, 2)) // GF(3): 0, 1, 2 gf_elements(gf_create_field(3, 1)) | | |
| Version | Description |
| 2.0.0 | Refactoring of the function/toolbox. |