Information on Result #1303416

Linear OA(9113, 59082, F9, 24) (dual of [59082, 58969, 25]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9112, 59080, F9, 24) (dual of [59080, 58968, 25]-code), using
    • construction X applied to Ce(23) ⊂ Ce(18) [i] based on
      1. linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
      2. linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
      3. linear OA(96, 31, F9, 4) (dual of [31, 25, 5]-code), using
  2. linear OA(9112, 59081, F9, 23) (dual of [59081, 58969, 24]-code), using Gilbert–VarÅ¡amov bound and bm = 9112 > Vbs−1(k−1) = 61 266881 239809 378247 584328 102740 185346 088284 383603 826382 940981 791675 802500 843821 454162 362636 122908 013889 [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(9113, 59082, F9, 2, 24) (dual of [(59082, 2), 118051, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9113, 59082, F9, 3, 24) (dual of [(59082, 3), 177133, 25]-NRT-code) [i]
3Digital (89, 113, 59082)-net over F9 [i]
4Linear OOA(9113, 29541, F9, 2, 24) (dual of [(29541, 2), 58969, 25]-NRT-code) [i]OOA Folding