Information on Result #699558

Linear OA(8147, 6581, F81, 21) (dual of [6581, 6534, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
  1. linear OA(8141, 6561, F81, 21) (dual of [6561, 6520, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(8147, 4128, F81, 2, 21) (dual of [(4128, 2), 8209, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8147, 4128, F81, 3, 21) (dual of [(4128, 3), 12337, 22]-NRT-code) [i]
3Linear OOA(8147, 4128, F81, 4, 21) (dual of [(4128, 4), 16465, 22]-NRT-code) [i]
4Digital (26, 47, 4128)-net over F81 [i]
5Linear OOA(8147, 3290, F81, 2, 21) (dual of [(3290, 2), 6533, 22]-NRT-code) [i]OOA Folding
6Linear OOA(8147, 1645, F81, 4, 21) (dual of [(1645, 4), 6533, 22]-NRT-code) [i]
7Linear OOA(8147, 658, F81, 21, 21) (dual of [(658, 21), 13771, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row