Information on Result #1302095

Linear OA(759, 117672, F7, 11) (dual of [117672, 117613, 12]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(758, 117670, F7, 11) (dual of [117670, 117612, 12]-code), using
    • construction X applied to Ce(10) ⊂ Ce(7) [i] based on
      1. 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]
      2. linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
      3. linear OA(73, 21, F7, 2) (dual of [21, 18, 3]-code), using
  2. linear OA(758, 117671, F7, 10) (dual of [117671, 117613, 11]-code), using Gilbert–VarÅ¡amov bound and bm = 758 > Vbs−1(k−1) = 120077 784637 037613 092390 119919 115879 013522 782865 [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(759, 117672, F7, 2, 11) (dual of [(117672, 2), 235285, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(759, 117672, F7, 3, 11) (dual of [(117672, 3), 352957, 12]-NRT-code) [i]
3Digital (48, 59, 117672)-net over F7 [i]
4Linear OOA(759, 58836, F7, 2, 11) (dual of [(58836, 2), 117613, 12]-NRT-code) [i]OOA Folding