Information on Result #699606

Linear OA(8148, 6590, F81, 20) (dual of [6590, 6542, 21]-code), using construction X applied to Ce(19) ⊂ Ce(9) based on
  1. linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(819, 29, F81, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,81)), 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(8148, 6590, F81, 2, 20) (dual of [(6590, 2), 13132, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8148, 6590, F81, 3, 20) (dual of [(6590, 3), 19722, 21]-NRT-code) [i]
3Linear OOA(8148, 6590, F81, 4, 20) (dual of [(6590, 4), 26312, 21]-NRT-code) [i]
4Digital (28, 48, 6590)-net over F81 [i]
5Linear OOA(8148, 3295, F81, 2, 20) (dual of [(3295, 2), 6542, 21]-NRT-code) [i]OOA Folding
6Linear OOA(8148, 2196, F81, 3, 20) (dual of [(2196, 3), 6540, 21]-NRT-code) [i]
7Linear OOA(8148, 1647, F81, 4, 20) (dual of [(1647, 4), 6540, 21]-NRT-code) [i]
8Linear OOA(8148, 659, F81, 20, 20) (dual of [(659, 20), 13132, 21]-NRT-code) [i]OA Folding and Stacking