Information on Result #699250

Linear OA(8181, 531464, F81, 26) (dual of [531464, 531383, 27]-code), using construction X applied to Ce(25) ⊂ Ce(19) based on
  1. linear OA(8176, 531441, F81, 26) (dual of [531441, 531365, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(815, 23, F81, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,81)), 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
1Linear OOA(8181, 281755, F81, 2, 26) (dual of [(281755, 2), 563429, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8181, 281755, F81, 3, 26) (dual of [(281755, 3), 845184, 27]-NRT-code) [i]
3Linear OOA(8181, 281755, F81, 4, 26) (dual of [(281755, 4), 1126939, 27]-NRT-code) [i]
4Digital (55, 81, 281755)-net over F81 [i]
5Linear OOA(8181, 265732, F81, 2, 26) (dual of [(265732, 2), 531383, 27]-NRT-code) [i]OOA Folding
6Linear OOA(8181, 177154, F81, 3, 26) (dual of [(177154, 3), 531381, 27]-NRT-code) [i]
7Linear OOA(8181, 132866, F81, 4, 26) (dual of [(132866, 4), 531383, 27]-NRT-code) [i]