Information on Result #672541

Linear OA(217, 65536, F2, 3) (dual of [65536, 65519, 4]-code or 65536-cap in PG(16,2)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(234, 65553, F2, 5) (dual of [65553, 65519, 6]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(234, 65554, F2, 5) (dual of [65554, 65520, 6]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
3Linear OOA(217, 65535, F2, 2, 3) (dual of [(65535, 2), 131053, 4]-NRT-code) [i]OOA Stacking with Additional Row
4Linear OOA(217, 65535, F2, 3, 3) (dual of [(65535, 3), 196588, 4]-NRT-code) [i]