Information on Result #1302744

Linear OA(8114, 32802, F8, 25) (dual of [32802, 32688, 26]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(8113, 32800, F8, 25) (dual of [32800, 32687, 26]-code), using
    • construction X applied to Ce(24) ⊂ Ce(18) [i] based on
      1. linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
      2. linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
      3. linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
  2. linear OA(8113, 32801, F8, 24) (dual of [32801, 32688, 25]-code), using Gilbert–VarÅ¡amov bound and bm = 8113 > Vbs−1(k−1) = 77010 824640 495607 895302 842591 674104 238548 485955 522040 762847 240242 416176 920367 164619 338920 386835 360171 [i]
  3. linear OA(80, 1, F8, 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(8114, 32802, F8, 2, 25) (dual of [(32802, 2), 65490, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8114, 32802, F8, 3, 25) (dual of [(32802, 3), 98292, 26]-NRT-code) [i]
3Digital (89, 114, 32802)-net over F8 [i]
4Linear OOA(8114, 16401, F8, 2, 25) (dual of [(16401, 2), 32688, 26]-NRT-code) [i]OOA Folding