Information on Result #1303595

Linear OA(9147, 531486, F9, 26) (dual of [531486, 531339, 27]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9146, 531484, F9, 26) (dual of [531484, 531338, 27]-code), using
    • construction X applied to Ce(25) ⊂ Ce(19) [i] based on
      1. linear OA(9139, 531441, F9, 26) (dual of [531441, 531302, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
      2. 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]
      3. linear OA(97, 43, F9, 5) (dual of [43, 36, 6]-code), using
  2. linear OA(9146, 531485, F9, 25) (dual of [531485, 531339, 26]-code), using Gilbert–VarÅ¡amov bound and bm = 9146 > Vbs−1(k−1) = 1963 340447 370567 399471 134255 106035 220211 318459 137657 091033 264297 084184 510224 851521 731861 716596 177153 632797 751858 386164 785060 425282 029409 [i]
  3. linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using

Mode: 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(9147, 531486, F9, 2, 26) (dual of [(531486, 2), 1062825, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9147, 531486, F9, 3, 26) (dual of [(531486, 3), 1594311, 27]-NRT-code) [i]
3Digital (121, 147, 531486)-net over F9 [i]
4Linear OOA(9147, 265743, F9, 2, 26) (dual of [(265743, 2), 531339, 27]-NRT-code) [i]OOA Folding