Information on Result #699551

Linear OA(8161, 6581, F81, 28) (dual of [6581, 6520, 29]-code), using construction X applied to Ce(27) ⊂ Ce(20) based on
  1. linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. 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]
  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(8161, 3333, F81, 2, 28) (dual of [(3333, 2), 6605, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8161, 3333, F81, 3, 28) (dual of [(3333, 3), 9938, 29]-NRT-code) [i]
3Linear OOA(8161, 3333, F81, 4, 28) (dual of [(3333, 4), 13271, 29]-NRT-code) [i]
4Digital (33, 61, 3333)-net over F81 [i]
5Linear OOA(8161, 3290, F81, 2, 28) (dual of [(3290, 2), 6519, 29]-NRT-code) [i]OOA Folding
6Linear OOA(8161, 2193, F81, 3, 28) (dual of [(2193, 3), 6518, 29]-NRT-code) [i]
7Linear OOA(8161, 1645, F81, 4, 28) (dual of [(1645, 4), 6519, 29]-NRT-code) [i]
8Linear OOA(8161, 470, F81, 28, 28) (dual of [(470, 28), 13099, 29]-NRT-code) [i]OA Folding and Stacking