Information on Result #1302097

Linear OA(760, 117674, F7, 11) (dual of [117674, 117614, 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, 117672, F7, 10) (dual of [117672, 117614, 11]-code), using Gilbert–VarÅ¡amov bound and bm = 758 > Vbs−1(k−1) = 120086 969408 083632 508333 827333 714761 496963 234295 [i]
  3. linear OA(70, 2, F7, 0) (dual of [2, 2, 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(760, 117674, F7, 2, 11) (dual of [(117674, 2), 235288, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(760, 117674, F7, 3, 11) (dual of [(117674, 3), 352962, 12]-NRT-code) [i]
3Digital (49, 60, 117674)-net over F7 [i]
4Linear OOA(760, 58837, F7, 2, 11) (dual of [(58837, 2), 117614, 12]-NRT-code) [i]OOA Folding