Information on Result #1303501

Linear OA(9130, 531482, F9, 23) (dual of [531482, 531352, 24]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9128, 531478, F9, 23) (dual of [531478, 531350, 24]-code), using
    • construction X applied to Ce(22) ⊂ Ce(16) [i] based on
      1. linear OA(9121, 531441, F9, 23) (dual of [531441, 531320, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
      2. 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]
      3. linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(9128, 531480, F9, 22) (dual of [531480, 531352, 23]-code), using Gilbert–VarÅ¡amov bound and bm = 9128 > Vbs−1(k−1) = 310159 187992 674721 341249 782712 345305 110604 196895 295574 480446 148206 538826 253829 075543 606796 631977 696003 162249 529393 571321 [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(9130, 531482, F9, 2, 23) (dual of [(531482, 2), 1062834, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9130, 531482, F9, 3, 23) (dual of [(531482, 3), 1594316, 24]-NRT-code) [i]
3Digital (107, 130, 531482)-net over F9 [i]
4Linear OOA(9130, 265741, F9, 2, 23) (dual of [(265741, 2), 531352, 24]-NRT-code) [i]OOA Folding