Information on Result #1303404

Linear OA(9112, 531482, F9, 20) (dual of [531482, 531370, 21]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9110, 531478, F9, 20) (dual of [531478, 531368, 21]-code), using
    • construction X applied to Ce(19) ⊂ Ce(13) [i] 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(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(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(9110, 531480, F9, 19) (dual of [531480, 531370, 20]-code), using Gilbert–VarÅ¡amov bound and bm = 9110 > Vbs−1(k−1) = 32 203681 693704 491179 264768 564467 885499 111454 960634 570281 484030 782374 745656 597106 798712 435860 718601 266681 [i]
  3. linear OA(90, 2, F9, 0) (dual of [2, 2, 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(9112, 531482, F9, 2, 20) (dual of [(531482, 2), 1062852, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9112, 531482, F9, 3, 20) (dual of [(531482, 3), 1594334, 21]-NRT-code) [i]
3Digital (92, 112, 531482)-net over F9 [i]
4Linear OOA(9112, 265741, F9, 2, 20) (dual of [(265741, 2), 531370, 21]-NRT-code) [i]OOA Folding