Information on Result #700037

Linear OA(12823, 16398, F128, 10) (dual of [16398, 16375, 11]-code), using construction X applied to Ce(9) ⊂ Ce(4) based on
  1. linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(1289, 16384, F128, 5) (dual of [16384, 16375, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
  3. linear OA(1284, 14, F128, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,128)), 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(6427, 16398, S64, 10) [i]Discarding Parts of the Base for OAs
2Linear OOA(12823, 16398, F128, 2, 10) (dual of [(16398, 2), 32773, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12823, 16398, F128, 3, 10) (dual of [(16398, 3), 49171, 11]-NRT-code) [i]
4Linear OOA(12823, 16398, F128, 4, 10) (dual of [(16398, 4), 65569, 11]-NRT-code) [i]
5Digital (13, 23, 16398)-net over F128 [i]
6Linear OOA(12823, 8199, F128, 2, 10) (dual of [(8199, 2), 16375, 11]-NRT-code) [i]OOA Folding
7Linear OOA(12823, 5466, F128, 3, 10) (dual of [(5466, 3), 16375, 11]-NRT-code) [i]
8Linear OOA(12823, 4099, F128, 4, 10) (dual of [(4099, 4), 16373, 11]-NRT-code) [i]