Information on Result #689195

Linear OA(982, 531462, F9, 15) (dual of [531462, 531380, 16]-code), using construction X applied to Ce(14) ⊂ Ce(11) based on
  1. linear OA(979, 531441, F9, 15) (dual of [531441, 531362, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(93, 21, F9, 2) (dual of [21, 18, 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(982, 531462, F9, 2, 15) (dual of [(531462, 2), 1062842, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(982, 531462, F9, 3, 15) (dual of [(531462, 3), 1594304, 16]-NRT-code) [i]
3Digital (67, 82, 531462)-net over F9 [i]
4Linear OOA(982, 265731, F9, 2, 15) (dual of [(265731, 2), 531380, 16]-NRT-code) [i]OOA Folding
5Linear OOA(982, 177154, F9, 3, 15) (dual of [(177154, 3), 531380, 16]-NRT-code) [i]
6Linear OOA(982, 75923, F9, 15, 15) (dual of [(75923, 15), 1138763, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row