Information on Result #672773

Linear OA(214, 8192, F2, 3) (dual of [8192, 8178, 4]-code or 8192-cap in PG(13,2)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, 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(228, 8206, F2, 5) (dual of [8206, 8178, 6]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(228, 8207, F2, 5) (dual of [8207, 8179, 6]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
3Linear OOA(214, 8191, F2, 2, 3) (dual of [(8191, 2), 16368, 4]-NRT-code) [i]OOA Stacking with Additional Row
4Linear OOA(214, 8191, F2, 3, 3) (dual of [(8191, 3), 24559, 4]-NRT-code) [i]