Information on Result #801646

Linear OA(9119, 531486, F9, 21) (dual of [531486, 531367, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
  1. linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(910, 45, F9, 6) (dual of [45, 35, 7]-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(9119, 265743, F9, 2, 21) (dual of [(265743, 2), 531367, 22]-NRT-code) [i]OOA Folding
2Linear OOA(9119, 177162, F9, 3, 21) (dual of [(177162, 3), 531367, 22]-NRT-code) [i]