Information on Result #700114

Linear OA(12871, 16416, F128, 31) (dual of [16416, 16345, 32]-code), using construction X applied to Ce(30) ⊂ Ce(19) based on
  1. linear OA(12861, 16384, F128, 31) (dual of [16384, 16323, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(12810, 32, F128, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,128)), 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1OA(6483, 16416, S64, 31) [i]Discarding Parts of the Base for OAs
2Linear OOA(12871, 11198, F128, 2, 31) (dual of [(11198, 2), 22325, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12871, 11198, F128, 3, 31) (dual of [(11198, 3), 33523, 32]-NRT-code) [i]
4Linear OOA(12871, 11198, F128, 4, 31) (dual of [(11198, 4), 44721, 32]-NRT-code) [i]
5Digital (40, 71, 11198)-net over F128 [i]
6Linear OOA(12871, 8208, F128, 2, 31) (dual of [(8208, 2), 16345, 32]-NRT-code) [i]OOA Folding
7Linear OOA(12871, 5472, F128, 3, 31) (dual of [(5472, 3), 16345, 32]-NRT-code) [i]
8Linear OOA(12871, 4104, F128, 4, 31) (dual of [(4104, 4), 16345, 32]-NRT-code) [i]