Information on Result #699564

Linear OA(8135, 6581, F81, 15) (dual of [6581, 6546, 16]-code), using construction X applied to Ce(14) ⊂ Ce(7) based on
  1. linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(816, 20, F81, 6) (dual of [20, 14, 7]-code or 20-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(8135, 6581, F81, 2, 15) (dual of [(6581, 2), 13127, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8135, 6581, F81, 3, 15) (dual of [(6581, 3), 19708, 16]-NRT-code) [i]
3Linear OOA(8135, 6581, F81, 4, 15) (dual of [(6581, 4), 26289, 16]-NRT-code) [i]
4Digital (20, 35, 6581)-net over F81 [i]
5Linear OOA(8135, 3290, F81, 2, 15) (dual of [(3290, 2), 6545, 16]-NRT-code) [i]OOA Folding
6Linear OOA(8135, 1645, F81, 4, 15) (dual of [(1645, 4), 6545, 16]-NRT-code) [i]
7Linear OOA(8135, 940, F81, 15, 15) (dual of [(940, 15), 14065, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row