Information on Result #699263

Linear OA(8167, 531468, F81, 21) (dual of [531468, 531401, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
  1. linear OA(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(816, 27, F81, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,81)), 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(8167, 422271, F81, 2, 21) (dual of [(422271, 2), 844475, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8167, 422271, F81, 3, 21) (dual of [(422271, 3), 1266746, 22]-NRT-code) [i]
3Linear OOA(8167, 422271, F81, 4, 21) (dual of [(422271, 4), 1689017, 22]-NRT-code) [i]
4Digital (46, 67, 422271)-net over F81 [i]
5Linear OOA(8167, 265734, F81, 2, 21) (dual of [(265734, 2), 531401, 22]-NRT-code) [i]OOA Folding
6Linear OOA(8167, 177156, F81, 3, 21) (dual of [(177156, 3), 531401, 22]-NRT-code) [i]
7Linear OOA(8167, 132867, F81, 4, 21) (dual of [(132867, 4), 531401, 22]-NRT-code) [i]