Information on Result #700097

Linear OA(12853, 16410, F128, 23) (dual of [16410, 16357, 24]-code), using construction X applied to Ce(22) ⊂ Ce(13) based on
  1. linear OA(12845, 16384, F128, 23) (dual of [16384, 16339, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. 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]
  3. linear OA(1288, 26, F128, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,128)), 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(6462, 16410, S64, 23) [i]Discarding Parts of the Base for OAs
2Linear OOA(12853, 11276, F128, 2, 23) (dual of [(11276, 2), 22499, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12853, 11276, F128, 3, 23) (dual of [(11276, 3), 33775, 24]-NRT-code) [i]
4Linear OOA(12853, 11276, F128, 4, 23) (dual of [(11276, 4), 45051, 24]-NRT-code) [i]
5Digital (30, 53, 11276)-net over F128 [i]
6Linear OOA(12853, 8205, F128, 2, 23) (dual of [(8205, 2), 16357, 24]-NRT-code) [i]OOA Folding
7Linear OOA(12853, 5470, F128, 3, 23) (dual of [(5470, 3), 16357, 24]-NRT-code) [i]