Information on Result #689193

Linear OA(994, 531462, F9, 17) (dual of [531462, 531368, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
  1. linear OA(991, 531441, F9, 17) (dual of [531441, 531350, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(973, 531441, F9, 14) (dual of [531441, 531368, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(994, 531462, F9, 2, 17) (dual of [(531462, 2), 1062830, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(994, 531462, F9, 3, 17) (dual of [(531462, 3), 1594292, 18]-NRT-code) [i]
3Digital (77, 94, 531462)-net over F9 [i]
4Linear OOA(994, 265731, F9, 2, 17) (dual of [(265731, 2), 531368, 18]-NRT-code) [i]OOA Folding
5Linear OOA(994, 177154, F9, 3, 17) (dual of [(177154, 3), 531368, 18]-NRT-code) [i]
6Linear OOA(994, 66432, F9, 17, 17) (dual of [(66432, 17), 1129250, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row