Information on Result #684649

Linear OA(750, 117663, F7, 10) (dual of [117663, 117613, 11]-code), using construction X4 applied to Ce(9) ⊂ Ce(7) based on
  1. linear OA(749, 117649, F7, 10) (dual of [117649, 117600, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(713, 14, F7, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,7)), using
  4. linear OA(71, 14, F7, 1) (dual of [14, 13, 2]-code), using

Mode: Constructive and 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 OA(751, 117664, F7, 10) (dual of [117664, 117613, 11]-code) [i]Code Embedding in Larger Space
2Linear OA(752, 117665, F7, 10) (dual of [117665, 117613, 11]-code) [i]
3Linear OA(751, 117665, F7, 10) (dual of [117665, 117614, 11]-code) [i]Construction X with VarÅ¡amov Bound
4Linear OA(752, 117667, F7, 10) (dual of [117667, 117615, 11]-code) [i]
5Linear OOA(750, 39221, F7, 3, 10) (dual of [(39221, 3), 117613, 11]-NRT-code) [i]OOA Folding