Information on Result #700128

Linear OA(12862, 16419, F128, 26) (dual of [16419, 16357, 27]-code), using construction X applied to Ce(25) ⊂ Ce(13) based on
  1. linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), 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(6473, 16419, S64, 26) [i]Discarding Parts of the Base for OAs
2Linear OOA(12862, 16419, F128, 2, 26) (dual of [(16419, 2), 32776, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12862, 16419, F128, 3, 26) (dual of [(16419, 3), 49195, 27]-NRT-code) [i]
4Linear OOA(12862, 16419, F128, 4, 26) (dual of [(16419, 4), 65614, 27]-NRT-code) [i]
5Digital (36, 62, 16419)-net over F128 [i]
6Linear OOA(12862, 8209, F128, 2, 26) (dual of [(8209, 2), 16356, 27]-NRT-code) [i]OOA Folding
7Linear OOA(12862, 5473, F128, 3, 26) (dual of [(5473, 3), 16357, 27]-NRT-code) [i]
8Linear OOA(12862, 1263, F128, 26, 26) (dual of [(1263, 26), 32776, 27]-NRT-code) [i]OA Folding and Stacking