Information on Result #1302795

Linear OA(8120, 32804, F8, 26) (dual of [32804, 32684, 27]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(8118, 32800, F8, 26) (dual of [32800, 32682, 27]-code), using
    • construction X applied to Ce(25) ⊂ Ce(19) [i] based on
      1. linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
      2. linear OA(886, 32768, F8, 20) (dual of [32768, 32682, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
      3. linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
  2. linear OA(8118, 32802, F8, 25) (dual of [32802, 32684, 26]-code), using Gilbert–VarÅ¡amov bound and bm = 8118 > Vbs−1(k−1) = 736 762561 909082 604393 811800 266375 984523 760238 003475 094296 858920 330895 985895 776870 511027 824062 597701 751668 [i]
  3. linear OA(80, 2, F8, 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(8120, 32804, F8, 2, 26) (dual of [(32804, 2), 65488, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8120, 32804, F8, 3, 26) (dual of [(32804, 3), 98292, 27]-NRT-code) [i]
3Digital (94, 120, 32804)-net over F8 [i]
4Linear OOA(8120, 16402, F8, 2, 26) (dual of [(16402, 2), 32684, 27]-NRT-code) [i]OOA Folding