Information on Result #1302272

Linear OA(795, 823591, F7, 15) (dual of [823591, 823496, 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, 823588, F7, 14) (dual of [823588, 823496, 15]-code), using Gilbert–VarÅ¡amov bound and bm = 792 > Vbs−1(k−1) = 168216 745625 373109 205703 774249 876477 893154 370957 720507 283141 352369 217490 712151 [i]
  3. linear OA(70, 3, F7, 0) (dual of [3, 3, 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(795, 823591, F7, 2, 15) (dual of [(823591, 2), 1647087, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(795, 823591, F7, 3, 15) (dual of [(823591, 3), 2470678, 16]-NRT-code) [i]
3Digital (80, 95, 823591)-net over F7 [i]
4Linear OOA(795, 411795, F7, 2, 15) (dual of [(411795, 2), 823495, 16]-NRT-code) [i]OOA Folding