Information on Result #700130

Linear OA(12877, 16422, F128, 33) (dual of [16422, 16345, 34]-code), using construction X applied to Ce(32) ⊂ Ce(19) based on
  1. linear OA(12865, 16384, F128, 33) (dual of [16384, 16319, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(12812, 38, F128, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,128)), 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(6490, 16422, S64, 33) [i]Discarding Parts of the Base for OAs
2Linear OOA(12877, 14317, F128, 2, 33) (dual of [(14317, 2), 28557, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12877, 14317, F128, 3, 33) (dual of [(14317, 3), 42874, 34]-NRT-code) [i]
4Linear OOA(12877, 14317, F128, 4, 33) (dual of [(14317, 4), 57191, 34]-NRT-code) [i]
5Digital (44, 77, 14317)-net over F128 [i]
6Linear OOA(12877, 8211, F128, 2, 33) (dual of [(8211, 2), 16345, 34]-NRT-code) [i]OOA Folding
7Linear OOA(12877, 5474, F128, 3, 33) (dual of [(5474, 3), 16345, 34]-NRT-code) [i]