%I
%S 1,1,1,2,3,3,3,3,3,4,5,5,5,5,5,6,7,7,7,7,7,8,9,9,9,9,9,10,11,11,11,11,
%T 11,12,13,13,13,13,13,14,15,15,15,15,15,16,17,17,17,17,17,18,19,19,19,
%U 19,19,20,21,21,21,21,21,22,23,23,23,23,23,24,25,25,25,25,25
%N Largest d such that the linear programming bound for quantum codes of length n is feasible for some real K>1.
%C Bounded above by floor((n+1)/6)+floor((n+2)/6)+1 for all n, with equality when n < 100. For n < 22 and 25 <= n <= 30 this bound is attained by actual additive quantum codes; for other values of n, this is unknown.
%D E. M. Rains, Shadow bounds for selfdual codes, IEEE Trans. Inform. Theory, 44 (No. 1, 1998), 134139.
%D E. M. Rains, Monotonicity of the quantum linear programming bound, IEEE Trans. Inform. Theory, 45 (No. 7, 1999), 24892491.
%K nonn
%O 1,4
%A Eric M. Rains (rains(AT)caltech.edu), Dec 02 2000
