Information on Result #801647

Linear OA(9113, 531486, F9, 20) (dual of [531486, 531373, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) based on
  1. linear OA(9103, 531441, F9, 20) (dual of [531441, 531338, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(9113, 265743, F9, 2, 20) (dual of [(265743, 2), 531373, 21]-NRT-code) [i]OOA Folding
2Linear OOA(9113, 177162, F9, 3, 20) (dual of [(177162, 3), 531373, 21]-NRT-code) [i]