Information on Result #1303414

Linear OA(9113, 6578, F9, 31) (dual of [6578, 6465, 32]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9112, 6576, F9, 31) (dual of [6576, 6464, 32]-code), using
    • construction X applied to Ce(30) ⊂ Ce(27) [i] based on
      1. linear OA(9109, 6561, F9, 31) (dual of [6561, 6452, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
      2. linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
      3. linear OA(93, 15, F9, 2) (dual of [15, 12, 3]-code), using
  2. linear OA(9112, 6577, F9, 30) (dual of [6577, 6465, 31]-code), using Gilbert–VarÅ¡amov bound and bm = 9112 > Vbs−1(k−1) = 8656 684908 192711 126197 785130 684955 422093 514870 924331 053934 796746 499294 556463 215359 061977 838204 526148 196225 [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, 6578, F9, 2, 31) (dual of [(6578, 2), 13043, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9113, 6578, F9, 3, 31) (dual of [(6578, 3), 19621, 32]-NRT-code) [i]
3Digital (82, 113, 6578)-net over F9 [i]
4Linear OOA(9113, 3289, F9, 2, 31) (dual of [(3289, 2), 6465, 32]-NRT-code) [i]OOA Folding