A185064 Numbers k such that a Golay sequence of length k exists.

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

Offset: 1

Author

N. J. A. Sloane, Mar 02 2012

Keywords

• nonn
• nice
• more

Comments

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.

Links

• Dragomir Z. Dokovic, Equivalence classes and representatives of Golay sequences, Discrete Math. 189 (1998), no. 1-3, 79-93. MR1637705 (99j:94031).

Crossrefs

Cf. A208924-A208929.