Information on Result #1302458

Linear OA(856, 32790, F8, 12) (dual of [32790, 32734, 13]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(854, 32786, F8, 12) (dual of [32786, 32732, 13]-code), using
    • construction X applied to Ce(11) ⊂ Ce(8) [i] based on
      1. linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
      2. linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
      3. linear OA(83, 18, F8, 2) (dual of [18, 15, 3]-code), using
  2. linear OA(854, 32788, F8, 11) (dual of [32788, 32734, 12]-code), using Gilbert–VarÅ¡amov bound and bm = 854 > Vbs−1(k−1) = 111598 145499 111330 310628 671878 120389 732553 061214 [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(856, 32790, F8, 2, 12) (dual of [(32790, 2), 65524, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(856, 32790, F8, 3, 12) (dual of [(32790, 3), 98314, 13]-NRT-code) [i]
3Digital (44, 56, 32790)-net over F8 [i]
4Linear OOA(856, 16395, F8, 2, 12) (dual of [(16395, 2), 32734, 13]-NRT-code) [i]OOA Folding