Information on Result #700129

Linear OA(12858, 16419, F128, 24) (dual of [16419, 16361, 25]-code), using construction X applied to Ce(23) ⊂ Ce(11) based on
  1. linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. 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]
  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(6468, 16419, S64, 24) [i]Discarding Parts of the Base for OAs
2Linear OOA(12858, 16419, F128, 2, 24) (dual of [(16419, 2), 32780, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12858, 16419, F128, 3, 24) (dual of [(16419, 3), 49199, 25]-NRT-code) [i]
4Linear OOA(12858, 16419, F128, 4, 24) (dual of [(16419, 4), 65618, 25]-NRT-code) [i]
5Digital (34, 58, 16419)-net over F128 [i]
6Linear OOA(12858, 8209, F128, 2, 24) (dual of [(8209, 2), 16360, 25]-NRT-code) [i]OOA Folding
7Linear OOA(12858, 5473, F128, 3, 24) (dual of [(5473, 3), 16361, 25]-NRT-code) [i]