Information on Result #700067

Linear OA(12845, 16404, F128, 20) (dual of [16404, 16359, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) based on
  1. linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(6453, 16404, S64, 20) [i]Discarding Parts of the Base for OAs
2Linear OOA(12845, 8411, F128, 2, 20) (dual of [(8411, 2), 16777, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12845, 8411, F128, 3, 20) (dual of [(8411, 3), 25188, 21]-NRT-code) [i]
4Linear OOA(12845, 8411, F128, 4, 20) (dual of [(8411, 4), 33599, 21]-NRT-code) [i]
5Digital (25, 45, 8411)-net over F128 [i]
6Linear OOA(12845, 8202, F128, 2, 20) (dual of [(8202, 2), 16359, 21]-NRT-code) [i]OOA Folding
7Linear OOA(12845, 5468, F128, 3, 20) (dual of [(5468, 3), 16359, 21]-NRT-code) [i]
8Linear OOA(12845, 4101, F128, 4, 20) (dual of [(4101, 4), 16359, 21]-NRT-code) [i]