Information on Result #2175289

Linear OA(216, 17, F2, 15) (dual of [17, 1, 16]-code), using strength reduction based on linear OA(216, 17, F2, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,2)), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2107, 32785, F2, 15) (dual of [32785, 32678, 16]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
2Linear OA(292, 32785, F2, 13) (dual of [32785, 32693, 14]-code) [i]
3Linear OA(277, 32785, F2, 11) (dual of [32785, 32708, 12]-code) [i]
4Linear OA(262, 32785, F2, 9) (dual of [32785, 32723, 10]-code) [i]
5Linear OA(247, 32785, F2, 7) (dual of [32785, 32738, 8]-code) [i]
6Linear OA(232, 32785, F2, 5) (dual of [32785, 32753, 6]-code) [i]
7OA(248, 65553, S2, 7) [i]Construction X4 with Kerdock OAs
8OA(233, 65553, S2, 5) [i]