Information on Result #700095

Linear OA(12857, 16410, F128, 25) (dual of [16410, 16353, 26]-code), using construction X applied to Ce(24) ⊂ Ce(15) based on
  1. linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(6467, 16410, S64, 25) [i]Discarding Parts of the Base for OAs
2Linear OOA(12857, 10018, F128, 2, 25) (dual of [(10018, 2), 19979, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12857, 10018, F128, 3, 25) (dual of [(10018, 3), 29997, 26]-NRT-code) [i]
4Linear OOA(12857, 10018, F128, 4, 25) (dual of [(10018, 4), 40015, 26]-NRT-code) [i]
5Digital (32, 57, 10018)-net over F128 [i]
6Linear OOA(12857, 8205, F128, 2, 25) (dual of [(8205, 2), 16353, 26]-NRT-code) [i]OOA Folding
7Linear OOA(12857, 5470, F128, 3, 25) (dual of [(5470, 3), 16353, 26]-NRT-code) [i]