Information on Result #1302264

Linear OA(793, 117688, F7, 17) (dual of [117688, 117595, 18]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(792, 117686, F7, 17) (dual of [117686, 117594, 18]-code), using
    • construction X applied to Ce(16) ⊂ Ce(10) [i] based on
      1. linear OA(785, 117649, F7, 17) (dual of [117649, 117564, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
      2. linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
      3. linear OA(77, 37, F7, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(792, 117687, F7, 16) (dual of [117687, 117595, 17]-code), using Gilbert–VarÅ¡amov bound and bm = 792 > Vbs−1(k−1) = 4132 976211 996634 955889 500582 555088 850438 019210 954011 272925 744915 260734 160913 [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, 117688, F7, 2, 17) (dual of [(117688, 2), 235283, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(793, 117688, F7, 3, 17) (dual of [(117688, 3), 352971, 18]-NRT-code) [i]
3Digital (76, 93, 117688)-net over F7 [i]
4Linear OOA(793, 58844, F7, 2, 17) (dual of [(58844, 2), 117595, 18]-NRT-code) [i]OOA Folding