Information on Result #684472

Linear OA(760, 5764820, F7, 9) (dual of [5764820, 5764760, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
  1. linear OA(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(741, 5764801, F7, 6) (dual of [5764801, 5764760, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(73, 19, F7, 2) (dual of [19, 16, 3]-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 OOA(760, 5764820, F7, 2, 9) (dual of [(5764820, 2), 11529580, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(760, 5764820, F7, 3, 9) (dual of [(5764820, 3), 17294400, 10]-NRT-code) [i]
3Digital (51, 60, 5764820)-net over F7 [i]
4Linear OOA(760, 2882410, F7, 2, 9) (dual of [(2882410, 2), 5764760, 10]-NRT-code) [i]OOA Folding
5Linear OOA(760, 1921606, F7, 3, 9) (dual of [(1921606, 3), 5764758, 10]-NRT-code) [i]
6Linear OOA(760, 1441204, F7, 9, 9) (dual of [(1441204, 9), 12970776, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row