Information on Result #684563

Linear OA(781, 823567, F7, 13) (dual of [823567, 823486, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
  1. linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(73, 24, F7, 2) (dual of [24, 21, 3]-code), 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(781, 823567, F7, 2, 13) (dual of [(823567, 2), 1647053, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(781, 823567, F7, 3, 13) (dual of [(823567, 3), 2470620, 14]-NRT-code) [i]
3Digital (68, 81, 823567)-net over F7 [i]
4Linear OOA(781, 411783, F7, 2, 13) (dual of [(411783, 2), 823485, 14]-NRT-code) [i]OOA Folding
5Linear OOA(781, 274522, F7, 3, 13) (dual of [(274522, 3), 823485, 14]-NRT-code) [i]
6Linear OOA(781, 137261, F7, 13, 13) (dual of [(137261, 13), 1784312, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row