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%I #13 Aug 11 2019 00:01:15
%S 0,0,1,0,2,2,2,0,3,2,2,3,2,3,3,0,4,3,2,3
%N The largest codimension of a cyclically covering subspace in GF(2)^n.
%C The codimension of the largest subspace V of GF(2)^n with the following property: any vector v in GF(2)^n has a cyclic shift which is contained in V.
%H James Aaronson, Carla Groenland and Tom Johnston, <a href="https://arxiv.org/abs/1903.10613">Cyclically covering subspaces in F_2^n</a>, arXiv:1903.10613 [math.CO], 2019.
%H Peter Cameron, David Ellis and William Raynaud, <a href="https://arxiv.org/abs/1810.03485">Smallest cyclically covering subspaces of F_q^n, and lower bounds in Isbell’s conjecture</a>, arXiv:1810.03485 [math.CO], 2018-2019.
%e a(3) = 1 because the smallest cyclically covering subspace in GF(2)^3, spanned by (1,0,0) and (0,1,1), has codimension 1.
%e a(4) = 0 because the only cyclically covering subspace of GF(2)^4 is GF(2)^4 itself.
%K nonn,hard,more
%O 1,5
%A _James Aaronson_, May 22 2019
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