Information on Result #1303530

Linear OA(9136, 531483, F9, 24) (dual of [531483, 531347, 25]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9133, 531477, F9, 24) (dual of [531477, 531344, 25]-code), using
    • construction X applied to Ce(23) ⊂ Ce(18) [i] based on
      1. linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
      2. 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]
      3. linear OA(96, 36, F9, 4) (dual of [36, 30, 5]-code), using
  2. linear OA(9133, 531480, F9, 23) (dual of [531480, 531347, 24]-code), using Gilbert–VarÅ¡amov bound and bm = 9133 > Vbs−1(k−1) = 59940 589274 121044 003760 038745 869408 545298 438463 453529 920868 805717 802276 055575 406621 056398 726556 056947 617169 140776 836614 481401 [i]
  3. linear OA(90, 3, F9, 0) (dual of [3, 3, 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(9136, 531483, F9, 2, 24) (dual of [(531483, 2), 1062830, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9136, 531483, F9, 3, 24) (dual of [(531483, 3), 1594313, 25]-NRT-code) [i]
3Digital (112, 136, 531483)-net over F9 [i]
4Linear OOA(9136, 265741, F9, 2, 24) (dual of [(265741, 2), 531346, 25]-NRT-code) [i]OOA Folding