Information on Result #1303381

Linear OA(9106, 531482, F9, 19) (dual of [531482, 531376, 20]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9104, 531478, F9, 19) (dual of [531478, 531374, 20]-code), using
    • construction X applied to Ce(18) ⊂ Ce(12) [i] based on
      1. linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
      2. linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      3. linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(9104, 531480, F9, 18) (dual of [531480, 531376, 19]-code), using Gilbert–VarÅ¡amov bound and bm = 9104 > Vbs−1(k−1) = 136 337624 831161 448362 005612 235322 875092 079314 504022 616837 598118 105615 078081 767008 252949 492945 806841 [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(9106, 531482, F9, 2, 19) (dual of [(531482, 2), 1062858, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9106, 531482, F9, 3, 19) (dual of [(531482, 3), 1594340, 20]-NRT-code) [i]
3Digital (87, 106, 531482)-net over F9 [i]
4Linear OOA(9106, 265741, F9, 2, 19) (dual of [(265741, 2), 531376, 20]-NRT-code) [i]OOA Folding