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Numbers k such that a Golay sequence of length k exists.
11

%I #26 Jul 16 2021 03:28:39

%S 1,2,4,8,10,16,20,26,32,40,52,64,80,100

%N Numbers k such that a Golay sequence of length k exists.

%C It is known that the sequence contains all numbers 2^i 10^j 26^m, and that all terms k > 1 are even and not divisible by any prime == 3 (mod 4). But the full characterization of these numbers is an open problem.

%H Dragomir Z. Dokovic, <a href="http://dx.doi.org/10.1016/S0012-365X(98)00034-X">Equivalence classes and representatives of Golay sequences</a>, Discrete Math. 189 (1998), no. 1-3, 79-93. MR1637705 (99j:94031).

%Y Cf. A208924-A208929.

%K nonn,nice,more

%O 1,2

%A _N. J. A. Sloane_, Mar 02 2012