Primitive GF polynomials as per MATLAB 2021a

gfprimdf_dump.out

Primitive poly in GF(2 ^ 1). Characterisitc 2. 
                                          
                                     1 + X
Primitive poly in GF(2 ^ 2). Characterisitc 2. 
                                           2
                                  1 + X + X 
Primitive poly in GF(2 ^ 3). Characterisitc 2. 
                                           3
                                  1 + X + X 
Primitive poly in GF(2 ^ 4). Characterisitc 2. 
                                           4
                                  1 + X + X 
Primitive poly in GF(2 ^ 5). Characterisitc 2. 
                                       2    5
                                  1 + X  + X 
Primitive poly in GF(2 ^ 6). Characterisitc 2. 
                                           6
                                  1 + X + X 
Primitive poly in GF(2 ^ 7). Characterisitc 2. 
                                       3    7
                                  1 + X  + X 
Primitive poly in GF(2 ^ 8). Characterisitc 2. 
                                  2    3    4    8
                             1 + X  + X  + X  + X 
Primitive poly in GF(2 ^ 9). Characterisitc 2. 
                                       4    9
                                  1 + X  + X 
Primitive poly in GF(2 ^ 10). Characterisitc 2. 
                                      3    10
                                 1 + X  + X  
Primitive poly in GF(2 ^ 11). Characterisitc 2. 
                                      2    11
                                 1 + X  + X  
Primitive poly in GF(2 ^ 12). Characterisitc 2. 
                                      4    6    12
                             1 + X + X  + X  + X  
Primitive poly in GF(2 ^ 13). Characterisitc 2. 
                                      3    4    13
                             1 + X + X  + X  + X  
Primitive poly in GF(2 ^ 14). Characterisitc 2. 
                                     6    10    14
                            1 + X + X  + X   + X  
Primitive poly in GF(2 ^ 15). Characterisitc 2. 
                                           15
                                  1 + X + X  
Primitive poly in GF(2 ^ 16). Characterisitc 2. 
                                     3    12    16
                            1 + X + X  + X   + X  
Primitive poly in GF(3 ^ 1). Characterisitc 3. 
                                          
                                     1 + X
Primitive poly in GF(3 ^ 2). Characterisitc 3. 
                                           2
                                  2 + X + X 
Primitive poly in GF(3 ^ 3). Characterisitc 3. 
                                            3
                                 1 + 2 X + X 
Primitive poly in GF(3 ^ 4). Characterisitc 3. 
                                           4
                                  2 + X + X 
Primitive poly in GF(3 ^ 5). Characterisitc 3. 
                                            5
                                 1 + 2 X + X 
Primitive poly in GF(3 ^ 6). Characterisitc 3. 
                                           6
                                  2 + X + X 
Primitive poly in GF(3 ^ 7). Characterisitc 3. 
                                        2    7
                                 1 + 2 X  + X 
Primitive poly in GF(3 ^ 8). Characterisitc 3. 
                                       3    8
                                  2 + X  + X 
Primitive poly in GF(5 ^ 1). Characterisitc 5. 
                                          
                                     2 + X
Primitive poly in GF(5 ^ 2). Characterisitc 5. 
                                           2
                                  2 + X + X 
Primitive poly in GF(5 ^ 3). Characterisitc 5. 
                                            3
                                 2 + 3 X + X 
Primitive poly in GF(5 ^ 4). Characterisitc 5. 
                                          2    4
                               2 + 2 X + X  + X 
Primitive poly in GF(5 ^ 5). Characterisitc 5. 
                                            5
                                 2 + 4 X + X 
Primitive poly in GF(5 ^ 6). Characterisitc 5. 
                                           6
                                  2 + X + X 
Primitive poly in GF(5 ^ 7). Characterisitc 5. 
                                            7
                                 2 + 3 X + X 
Primitive poly in GF(5 ^ 8). Characterisitc 5. 
                                          2    8
                               3 + 2 X + X  + X 
Primitive poly in GF(7 ^ 1). Characterisitc 7. 
                                          
                                     2 + X
Primitive poly in GF(7 ^ 2). Characterisitc 7. 
                                           2
                                  3 + X + X 
Primitive poly in GF(7 ^ 3). Characterisitc 7. 
                                            3
                                 2 + 3 X + X 
Primitive poly in GF(7 ^ 4). Characterisitc 7. 
                                          2    4
                               5 + 3 X + X  + X 
Primitive poly in GF(7 ^ 5). Characterisitc 7. 
                                           5
                                  4 + X + X 
Primitive poly in GF(7 ^ 6). Characterisitc 7. 
                                          2    6
                               5 + X + 3 X  + X 
Primitive poly in GF(7 ^ 7). Characterisitc 7. 
                                            7
                                 2 + 6 X + X 
Primitive poly in GF(7 ^ 8). Characterisitc 7.[Warning: You have requested a polynomial of degree 8 over GF(7). This polynomial is outside the range of values stored in GFPRIMDF. GFPRIMFD is being called to compute the primitive
polynomial.] 
[> In gfprimdf (line 206)
In mhostetter_BCH_test>print_GF_primitive_poly (line 59)
In mhostetter_BCH_test (line 49)
In run (line 91)] 

                                           8
                                  3 + X + X