# # Complete list of binary irreducible self-reciprocal polynomials (SRP) # up to degree 22. The only SRP of odd degree (1+x) is omitted. # The number after the percent sign equals (2^(n/2)+1)/r where # r is the order of the polynomial with degree n. # #. # Generated by Joerg Arndt, 2007-October-07 # 2,1,0 % 1 4,3,2,1,0 % 1 6,3,0 % 1 8,5,4,3,0 % 1 8,7,6,4,2,1,0 % 1 10,7,5,3,0 % 1 10,9,5,1,0 % 1 10,9,8,7,6,5,4,3,2,1,0 % 3 12,10,7,6,5,2,0 % 1 12,10,9,8,6,4,3,2,0 % 1 12,11,10,9,8,7,6,5,4,3,2,1,0 % 5 12,11,9,7,6,5,3,1,0 % 1 12,8,7,6,5,4,0 % 1 14,9,7,5,0 % 1 14,10,8,7,6,4,0 % 1 14,11,10,9,8,7,6,5,4,3,0 % 3 14,12,10,7,4,2,0 % 3 14,12,9,8,7,6,5,2,0 % 1 14,13,10,8,7,6,4,1,0 % 1 14,13,11,7,3,1,0 % 3 14,13,12,11,10,9,7,5,4,3,2,1,0 % 1 14,13,12,9,8,7,6,5,2,1,0 % 1 16,15,8,1,0 % 1 16,12,11,8,5,4,0 % 1 16,13,12,10,8,6,4,3,0 % 1 16,13,8,3,0 % 1 16,14,12,11,8,5,4,2,0 % 1 16,14,13,11,10,9,8,7,6,5,3,2,0 % 1 16,14,13,12,10,8,6,4,3,2,0 % 1 16,14,13,12,11,9,8,7,5,4,3,2,0 % 1 16,15,13,11,10,8,6,5,3,1,0 % 1 16,15,13,12,10,9,8,7,6,4,3,1,0 % 1 16,15,13,9,8,7,3,1,0 % 1 16,15,14,12,10,8,6,4,2,1,0 % 1 16,15,14,13,11,10,8,6,5,3,2,1,0 % 1 16,15,14,13,12,11,8,5,4,3,2,1,0 % 1 16,15,14,13,9,8,7,3,2,1,0 % 1 16,15,14,8,2,1,0 % 1 18,9,0 % 19 18,12,11,10,9,8,7,6,0 % 1 18,13,11,9,7,5,0 % 1 18,14,12,11,9,7,6,4,0 % 3 18,15,14,10,9,8,4,3,0 % 1 18,15,14,13,11,10,9,8,7,5,4,3,0 % 3 18,16,10,9,8,2,0 % 1 18,16,13,11,10,9,8,7,5,2,0 % 1 18,16,13,12,9,6,5,2,0 % 1 18,16,14,13,12,10,9,8,6,5,4,2,0 % 1 18,16,15,12,11,9,7,6,3,2,0 % 3 18,16,15,13,12,9,6,5,3,2,0 % 3 18,16,15,14,13,12,10,9,8,6,5,4,3,2,0 % 1 18,16,15,14,9,4,3,2,0 % 9 18,17,14,11,10,9,8,7,4,1,0 % 1 18,17,15,11,9,7,3,1,0 % 3 18,17,15,13,12,11,10,9,8,7,6,5,3,1,0 % 1 18,17,15,14,11,10,9,8,7,4,3,1,0 % 1 18,17,15,14,12,9,6,4,3,1,0 % 1 18,17,16,13,10,9,8,5,2,1,0 % 1 18,17,16,13,12,11,9,7,6,5,2,1,0 % 3 18,17,16,14,12,10,9,8,6,4,2,1,0 % 1 18,17,16,14,13,9,5,4,2,1,0 % 1 18,17,16,15,12,9,6,3,2,1,0 % 1 18,17,16,15,13,12,11,9,7,6,5,3,2,1,0 % 9 18,17,16,15,14,11,9,7,4,3,2,1,0 % 1 18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0 % 27 18,17,16,15,14,13,9,5,4,3,2,1,0 % 1 20,11,10,9,0 % 1 20,14,12,11,10,9,8,6,0 % 5 20,15,10,5,0 % 41 20,15,13,12,11,10,9,8,7,5,0 % 1 20,16,13,12,10,8,7,4,0 % 1 20,16,14,13,10,7,6,4,0 % 1 20,16,15,13,12,11,10,9,8,7,5,4,0 % 1 20,17,10,3,0 % 1 20,17,14,12,10,8,6,3,0 % 1 20,17,14,13,11,10,9,7,6,3,0 % 1 20,17,15,14,13,10,7,6,5,3,0 % 5 20,17,16,13,12,11,10,9,8,7,4,3,0 % 1 20,17,16,15,11,10,9,5,4,3,0 % 1 20,18,12,11,10,9,8,2,0 % 1 20,18,14,11,10,9,6,2,0 % 5 20,18,15,12,10,8,5,2,0 % 1 20,18,15,13,11,10,9,7,5,2,0 % 1 20,18,16,13,10,7,4,2,0 % 1 20,18,16,14,13,12,10,8,7,6,4,2,0 % 1 20,18,16,15,13,11,10,9,7,5,4,2,0 % 5 20,18,17,14,10,6,3,2,0 % 5 20,18,17,14,13,12,11,10,9,8,7,6,3,2,0 % 1 20,18,17,15,13,10,7,5,3,2,0 % 1 20,18,17,16,13,11,10,9,7,4,3,2,0 % 1 20,18,17,16,15,12,11,10,9,8,5,4,3,2,0 % 1 20,18,17,16,15,14,11,10,9,6,5,4,3,2,0 % 25 20,18,17,16,15,14,13,12,10,8,7,6,5,4,3,2,0 % 1 20,19,14,10,6,1,0 % 1 20,19,15,14,11,10,9,6,5,1,0 % 1 20,19,15,14,13,12,10,8,7,6,5,1,0 % 1 20,19,16,12,10,8,4,1,0 % 1 20,19,16,14,13,12,11,10,9,8,7,6,4,1,0 % 1 20,19,17,12,11,10,9,8,3,1,0 % 1 20,19,17,13,10,7,3,1,0 % 1 20,19,17,14,13,12,10,8,7,6,3,1,0 % 1 20,19,17,15,14,10,6,5,3,1,0 % 1 20,19,17,16,14,11,10,9,6,4,3,1,0 % 25 20,19,17,16,15,13,11,10,9,7,5,4,3,1,0 % 5 20,19,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,1,0 % 1 20,19,18,13,12,11,10,9,8,7,2,1,0 % 5 20,19,18,14,12,10,8,6,2,1,0 % 1 20,19,18,14,13,11,10,9,7,6,2,1,0 % 1 20,19,18,15,14,12,11,10,9,8,6,5,2,1,0 % 1 20,19,18,16,15,13,12,10,8,7,5,4,2,1,0 % 1 20,19,18,16,15,14,13,10,7,6,5,4,2,1,0 % 1 20,19,18,17,11,10,9,3,2,1,0 % 1 20,19,18,17,15,13,12,11,10,9,8,7,5,3,2,1,0 % 1 20,19,18,17,15,14,12,10,8,6,5,3,2,1,0 % 1 20,19,18,17,16,13,12,10,8,7,4,3,2,1,0 % 5 20,19,18,17,16,14,12,11,10,9,8,6,4,3,2,1,0 % 1 20,19,18,17,16,15,10,5,4,3,2,1,0 % 1 22,16,13,12,11,10,9,6,0 % 1 22,16,15,12,11,10,7,6,0 % 1 22,17,15,11,7,5,0 % 1 22,18,16,13,11,9,6,4,0 % 1 22,18,16,14,12,11,10,8,6,4,0 % 3 22,18,16,15,11,7,6,4,0 % 1 22,18,17,15,12,11,10,7,5,4,0 % 1 22,18,17,16,13,11,9,6,5,4,0 % 1 22,18,17,16,14,12,11,10,8,6,5,4,0 % 1 22,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,0 % 3 22,19,15,13,11,9,7,3,0 % 3 22,19,15,14,12,11,10,8,7,3,0 % 1 22,19,16,12,11,10,6,3,0 % 3 22,19,17,11,5,3,0 % 1 22,19,17,16,14,13,11,9,8,6,5,3,0 % 1 22,19,17,16,15,14,11,8,7,6,5,3,0 % 1 22,19,18,12,11,10,4,3,0 % 1 22,19,18,14,13,11,9,8,4,3,0 % 1 22,19,18,15,14,11,8,7,4,3,0 % 1 22,19,18,16,14,13,12,11,10,9,8,6,4,3,0 % 1 22,19,18,16,15,13,11,9,7,6,4,3,0 % 1 22,19,18,17,15,13,12,11,10,9,7,5,4,3,0 % 3 22,19,18,17,16,11,6,5,4,3,0 % 1 22,20,15,13,12,11,10,9,7,2,0 % 1 22,20,17,12,11,10,5,2,0 % 3 22,20,17,14,13,11,9,8,5,2,0 % 3 22,20,17,16,11,6,5,2,0 % 1 22,20,17,16,14,13,12,11,10,9,8,6,5,2,0 % 3 22,20,18,11,4,2,0 % 1 22,20,18,16,15,13,12,11,10,9,7,6,4,2,0 % 1 22,20,18,17,14,13,12,11,10,9,8,5,4,2,0 % 1 22,20,18,17,15,13,11,9,7,5,4,2,0 % 3 22,20,18,17,16,12,11,10,6,5,4,2,0 % 3 22,20,19,13,12,11,10,9,3,2,0 % 3 22,20,19,14,11,8,3,2,0 % 1 22,20,19,16,14,12,11,10,8,6,3,2,0 % 3 22,20,19,17,14,11,8,5,3,2,0 % 1 22,20,19,17,16,14,12,11,10,8,6,5,3,2,0 % 1 22,20,19,17,16,15,11,7,6,5,3,2,0 % 3 22,20,19,18,15,11,7,4,3,2,0 % 1 22,20,19,18,15,14,13,12,11,10,9,8,7,4,3,2,0 % 1 22,20,19,18,16,15,12,11,10,7,6,4,3,2,0 % 1 22,20,19,18,17,15,11,7,5,4,3,2,0 % 1 22,20,19,18,17,15,14,13,12,11,10,9,8,7,5,4,3,2,0 % 3 22,20,19,18,17,16,15,14,13,11,9,8,7,6,5,4,3,2,0 % 1 22,21,15,13,11,9,7,1,0 % 3 22,21,16,12,11,10,6,1,0 % 1 22,21,16,14,13,11,9,8,6,1,0 % 3 22,21,16,15,14,11,8,7,6,1,0 % 1 22,21,17,11,5,1,0 % 1 22,21,17,14,13,12,11,10,9,8,5,1,0 % 1 22,21,17,15,14,12,11,10,8,7,5,1,0 % 3 22,21,18,12,11,10,4,1,0 % 1 22,21,18,16,15,13,11,9,7,6,4,1,0 % 3 22,21,18,17,15,13,12,11,10,9,7,5,4,1,0 % 3 22,21,18,17,15,14,11,8,7,5,4,1,0 % 1 22,21,18,17,16,11,6,5,4,1,0 % 1 22,21,18,17,16,15,14,12,11,10,8,7,6,5,4,1,0 % 1 22,21,19,13,11,9,3,1,0 % 1 22,21,19,17,15,14,13,12,11,10,9,8,7,5,3,1,0 % 1 22,21,19,17,16,14,11,8,6,5,3,1,0 % 1 22,21,19,18,15,14,13,11,9,8,7,4,3,1,0 % 1 22,21,19,18,16,15,14,13,12,11,10,9,8,7,6,4,3,1,0 % 1 22,21,19,18,17,14,11,8,5,4,3,1,0 % 1 22,21,19,18,17,15,12,11,10,7,5,4,3,1,0 % 1 22,21,19,18,17,15,14,13,11,9,8,7,5,4,3,1,0 % 3 22,21,19,18,17,16,13,11,9,6,5,4,3,1,0 % 3 22,21,20,14,11,8,2,1,0 % 3 22,21,20,15,14,13,11,9,8,7,2,1,0 % 1 22,21,20,16,13,11,9,6,2,1,0 % 1 22,21,20,16,15,11,7,6,2,1,0 % 3 22,21,20,17,15,12,11,10,7,5,2,1,0 % 1 22,21,20,17,15,14,13,11,9,8,7,5,2,1,0 % 3 22,21,20,17,16,15,11,7,6,5,2,1,0 % 3 22,21,20,17,16,15,14,13,12,11,10,9,8,7,6,5,2,1,0 % 1 22,21,20,18,13,11,9,4,2,1,0 % 1 22,21,20,18,15,14,13,12,11,10,9,8,7,4,2,1,0 % 1 22,21,20,18,16,15,12,11,10,7,6,4,2,1,0 % 1 22,21,20,18,17,16,14,11,8,6,5,4,2,1,0 % 3 22,21,20,18,17,16,15,14,13,11,9,8,7,6,5,4,2,1,0 % 1 22,21,20,19,15,13,12,11,10,9,7,3,2,1,0 % 3 22,21,20,19,15,14,11,8,7,3,2,1,0 % 1 22,21,20,19,16,11,6,3,2,1,0 % 1 22,21,20,19,16,15,14,12,11,10,8,7,6,3,2,1,0 % 1 22,21,20,19,17,15,13,12,11,10,9,7,5,3,2,1,0 % 3 22,21,20,19,17,15,14,11,8,7,5,3,2,1,0 % 3 22,21,20,19,17,16,15,14,12,11,10,8,7,6,5,3,2,1,0 % 1 22,21,20,19,18,11,4,3,2,1,0 % 3 22,21,20,19,18,14,13,12,11,10,9,8,4,3,2,1,0 % 1 22,21,20,19,18,16,12,11,10,6,4,3,2,1,0 % 1 22,21,20,19,18,17,14,13,12,11,10,9,8,5,4,3,2,1,0 % 1 22,21,20,19,18,17,16,12,11,10,6,5,4,3,2,1,0 % 1 22,21,20,19,18,17,16,14,13,11,9,8,6,5,4,3,2,1,0 % 3