Information on Result #700073

Linear OA(12833, 16404, F128, 14) (dual of [16404, 16371, 15]-code), using construction X applied to Ce(13) ⊂ Ce(6) based on
  1. linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(12813, 16384, F128, 7) (dual of [16384, 16371, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(1286, 20, F128, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,128)), 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(6439, 16404, S64, 14) [i]Discarding Parts of the Base for OAs
2Linear OOA(12833, 16404, F128, 2, 14) (dual of [(16404, 2), 32775, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12833, 16404, F128, 3, 14) (dual of [(16404, 3), 49179, 15]-NRT-code) [i]
4Linear OOA(12833, 16404, F128, 4, 14) (dual of [(16404, 4), 65583, 15]-NRT-code) [i]
5Digital (19, 33, 16404)-net over F128 [i]
6Linear OOA(12833, 8202, F128, 2, 14) (dual of [(8202, 2), 16371, 15]-NRT-code) [i]OOA Folding
7Linear OOA(12833, 5468, F128, 3, 14) (dual of [(5468, 3), 16371, 15]-NRT-code) [i]
8Linear OOA(12833, 4101, F128, 4, 14) (dual of [(4101, 4), 16371, 15]-NRT-code) [i]