#
# Complete list of binary irreducible normal polynomials
# whose roots are a self-dual basis, up to degree 19.
# There are no such polynomials with degree a multiple of 4.
# Primitive polynomials are marked by a P.
#.
# Generated by Joerg Arndt, 2009-January-27
#

##  n=2   #S = 1   #SP = 1
2,1,0  P

##  n=3   #S = 1   #SP = 1
3,2,0  P

##  n=4   #S = 0   #SP = 0

##  n=5   #S = 1   #SP = 1
5,4,2,1,0  P

##  n=6   #S = 2   #SP = 1
6,5,4,2,0
6,5,4,1,0  P

##  n=7   #S = 1   #SP = 1
7,6,4,1,0  P

##  n=8   #S = 0   #SP = 0

##  n=9   #S = 3   #SP = 2
9,8,6,5,4,1,0  P
9,8,6,3,0
9,8,6,3,2,1,0  P

##  n=10   #S = 4   #SP = 3
10,9,8,6,3,2,0  P
10,9,8,5,4,3,0  P
10,9,8,5,3,1,0
10,9,8,6,4,3,0  P

##  n=11   #S = 3   #SP = 3
11,10,8,7,6,5,0  P
11,10,8,5,2,1,0  P
11,10,8,4,3,2,0  P

##  n=12   #S = 0   #SP = 0

##  n=13   #S = 5   #SP = 5
13,12,10,6,0  P
13,12,10,7,4,3,0  P
13,12,10,9,8,3,2,1,0  P
13,12,10,9,8,6,4,1,0  P
13,12,10,9,8,7,6,4,3,2,0  P

##  n=14   #S = 8   #SP = 4
14,13,12,10,6,3,2,1,0  P
14,13,12,9,7,5,3,2,0
14,13,12,9,8,6,5,2,0
14,13,12,10,8,6,5,4,2,1,0  P
14,13,12,9,5,3,2,1,0
14,13,12,10,7,5,4,1,0  P
14,13,12,10,8,4,2,1,0
14,13,12,9,8,1,0  P

##  n=15   #S = 15   #SP = 11
15,14,12,11,10,5,3,1,0  P
15,14,12,8,5,3,0
15,14,12,7,5,1,0  P
15,14,12,6,5,4,2,1,0  P
15,14,12,11,10,7,6,4,2,1,0  P
15,14,12,9,8,7,6,5,3,2,0
15,14,12,11,10,7,6,4,0  P
15,14,12,9,7,3,2,1,0  P
15,14,12,11,10,8,7,5,3,2,0  P
15,14,12,9,7,5,4,2,0
15,14,12,9,8,7,6,4,0  P
15,14,12,9,6,5,3,1,0  P
15,14,12,11,10,4,0
15,14,12,9,7,5,0  P
15,14,12,8,7,6,5,4,3,2,0  P

##  n=16   #S = 0   #SP = 0

##  n=17   #S = 17   #SP = 17
17,16,14,13,12,11,10,9,7,5,3,1,0  P
17,16,14,13,12,11,10,8,6,3,2,1,0  P
17,16,14,13,12,11,10,8,5,1,0  P
17,16,14,9,7,5,4,2,0  P
17,16,14,11,10,9,8,7,3,1,0  P
17,16,14,9,7,6,4,1,0  P
17,16,14,11,8,4,0  P
17,16,14,13,12,5,4,3,2,1,0  P
17,16,14,10,9,8,7,6,3,1,0  P
17,16,14,10,9,8,4,3,2,1,0  P
17,16,14,13,12,10,9,6,4,1,0  P
17,16,14,10,9,8,5,2,0  P
17,16,14,13,12,11,9,8,7,6,5,4,3,2,0  P
17,16,14,9,6,5,4,3,0  P
17,16,14,13,12,10,9,7,6,3,0  P
17,16,14,11,10,9,8,6,4,1,0  P
17,16,14,11,10,7,6,5,4,2,0  P

##  n=18   #S = 48   #SP = 25
18,17,16,14,10,7,5,4,0
18,17,16,13,12,11,10,9,5,4,2,1,0
18,17,16,14,9,7,6,4,0  P
18,17,16,14,12,11,10,9,6,5,3,2,0  P
18,17,16,13,10,7,6,4,3,2,0  P
18,17,16,13,11,10,7,5,0
18,17,16,14,12,11,10,9,7,5,2,1,0  P
18,17,16,13,12,11,10,9,6,5,4,2,0
18,17,16,14,12,6,4,1,0  P
18,17,16,14,11,10,7,4,3,2,0  P
18,17,16,13,12,11,7,6,5,4,0
18,17,16,13,11,10,6,1,0  P
18,17,16,14,10,2,0
18,17,16,14,11,9,8,6,5,2,0
18,17,16,13,11,9,8,3,0
18,17,16,14,12,11,10,9,8,7,5,4,3,2,0
18,17,16,14,12,10,9,8,7,6,5,4,3,2,0  P
18,17,16,14,10,7,6,1,0
18,17,16,13,12,10,9,8,2,1,0
18,17,16,14,12,7,3,1,0  P
18,17,16,14,9,7,4,3,2,1,0
18,17,16,14,10,7,5,1,0  P
18,17,16,14,11,9,4,3,0  P
18,17,16,14,9,8,7,6,2,1,0  P
18,17,16,14,10,6,3,1,0  P
18,17,16,13,11,10,8,7,5,1,0  P
18,17,16,14,12,7,6,5,4,3,2,1,0  P
18,17,16,13,12,10,9,8,7,6,4,3,0  P
18,17,16,13,12,11,8,7,5,4,0
18,17,16,14,12,8,7,6,5,3,0
18,17,16,13,11,10,8,7,4,2,0
18,17,16,13,12,11,7,6,4,2,0
18,17,16,13,12,10,9,7,0  P
18,17,16,14,11,10,8,5,2,1,0
18,17,16,14,11,10,8,7,0  P
18,17,16,13,10,8,5,2,0
18,17,16,14,12,11,5,4,3,2,0  P
18,17,16,14,12,10,9,7,5,4,2,1,0  P
18,17,16,14,12,11,8,6,0
18,17,16,13,10,8,7,4,2,1,0
18,17,16,13,11,10,7,6,5,4,2,1,0
18,17,16,14,12,7,4,3,0
18,17,16,13,12,11,8,7,6,5,4,1,0  P
18,17,16,13,11,9,8,6,4,3,2,1,0  P
18,17,16,14,12,10,9,7,6,5,3,1,0
18,17,16,14,12,3,2,1,0  P
18,17,16,13,12,11,8,6,5,3,0  P
18,17,16,14,10,8,7,6,4,2,0  P

##  n=19   #S = 27   #SP = 27
19,18,16,15,14,13,12,10,9,8,5,3,2,1,0  P
19,18,16,12,7,3,0  P
19,18,16,11,8,6,4,1,0  P
19,18,16,15,14,12,10,7,5,1,0  P
19,18,16,13,12,11,10,9,6,3,0  P
19,18,16,15,14,11,10,7,6,2,0  P
19,18,16,10,6,4,3,1,0  P
19,18,16,13,12,5,4,2,0  P
19,18,16,15,14,11,10,8,7,4,2,1,0  P
19,18,16,12,11,10,9,3,2,1,0  P
19,18,16,12,9,8,7,6,5,3,2,1,0  P
19,18,16,15,14,12,10,9,8,7,6,4,3,1,0  P
19,18,16,15,14,12,11,7,5,1,0  P
19,18,16,13,12,7,6,5,4,3,2,1,0  P
19,18,16,13,12,11,10,9,6,4,3,2,0  P
19,18,16,15,14,13,4,3,0  P
19,18,16,15,14,13,11,10,9,6,4,1,0  P
19,18,16,15,14,8,7,5,3,2,0  P
19,18,16,15,14,11,10,6,5,3,2,1,0  P
19,18,16,13,11,7,5,4,3,1,0  P
19,18,16,15,14,11,10,9,8,6,2,1,0  P
19,18,16,15,14,13,12,11,5,4,2,1,0  P
19,18,16,13,10,7,0  P
19,18,16,15,14,3,2,1,0  P
19,18,16,12,11,10,6,5,3,1,0  P
19,18,16,13,11,1,0  P
19,18,16,13,10,6,4,1,0  P

##  n=20   #S = 0   #SP = 0
