Information on Result #1302268

Linear OA(793, 823587, F7, 15) (dual of [823587, 823494, 16]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(792, 823585, F7, 15) (dual of [823585, 823493, 16]-code), using
    • construction X applied to Ce(14) ⊂ Ce(8) [i] based on
      1. linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
      2. linear OA(750, 823543, F7, 9) (dual of [823543, 823493, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
      3. linear OA(77, 42, F7, 5) (dual of [42, 35, 6]-code), using
  2. linear OA(792, 823586, F7, 14) (dual of [823586, 823494, 15]-code), using Gilbert–VarÅ¡amov bound and bm = 792 > Vbs−1(k−1) = 168211 435193 520359 286002 111546 950792 957504 410406 806975 310818 689554 011320 616199 [i]
  3. linear OA(70, 1, F7, 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(793, 823587, F7, 2, 15) (dual of [(823587, 2), 1647081, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(793, 823587, F7, 3, 15) (dual of [(823587, 3), 2470668, 16]-NRT-code) [i]
3Digital (78, 93, 823587)-net over F7 [i]