Information on Result #1302484

Linear OA(861, 32794, F8, 13) (dual of [32794, 32733, 14]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(860, 32792, F8, 13) (dual of [32792, 32732, 14]-code), using
    • construction X applied to Ce(12) ⊂ Ce(8) [i] based on
      1. linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), using
  2. linear OA(860, 32793, F8, 12) (dual of [32793, 32733, 13]-code), using Gilbert–VarÅ¡amov bound and bm = 860 > Vbs−1(k−1) = 2331 642731 932600 130325 166091 423441 526316 248204 768498 [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(861, 32794, F8, 2, 13) (dual of [(32794, 2), 65527, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(861, 32794, F8, 3, 13) (dual of [(32794, 3), 98321, 14]-NRT-code) [i]
3Digital (48, 61, 32794)-net over F8 [i]
4Linear OOA(861, 16397, F8, 2, 13) (dual of [(16397, 2), 32733, 14]-NRT-code) [i]OOA Folding