Information on Result #700050

Linear OA(12828, 16401, F128, 12) (dual of [16401, 16373, 13]-code), using construction X applied to Ce(11) ⊂ Ce(5) based on
  1. linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(1285, 17, F128, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,128)), 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(6433, 16401, S64, 12) [i]Discarding Parts of the Base for OAs
2Linear OOA(12828, 16401, F128, 2, 12) (dual of [(16401, 2), 32774, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12828, 16401, F128, 3, 12) (dual of [(16401, 3), 49175, 13]-NRT-code) [i]
4Linear OOA(12828, 16401, F128, 4, 12) (dual of [(16401, 4), 65576, 13]-NRT-code) [i]
5Digital (16, 28, 16401)-net over F128 [i]
6Linear OOA(12828, 8200, F128, 2, 12) (dual of [(8200, 2), 16372, 13]-NRT-code) [i]OOA Folding
7Linear OOA(12828, 5467, F128, 3, 12) (dual of [(5467, 3), 16373, 13]-NRT-code) [i]
8Linear OOA(12828, 4100, F128, 4, 12) (dual of [(4100, 4), 16372, 13]-NRT-code) [i]