Information on Result #684479

Linear OA(769, 5764829, F7, 10) (dual of [5764829, 5764760, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
  1. linear OA(765, 5764801, F7, 10) (dual of [5764801, 5764736, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), 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(769, 5764829, F7, 2, 10) (dual of [(5764829, 2), 11529589, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(769, 5764829, F7, 3, 10) (dual of [(5764829, 3), 17294418, 11]-NRT-code) [i]
3Digital (59, 69, 5764829)-net over F7 [i]
4Linear OOA(769, 2882414, F7, 2, 10) (dual of [(2882414, 2), 5764759, 11]-NRT-code) [i]OOA Folding
5Linear OOA(769, 1921609, F7, 3, 10) (dual of [(1921609, 3), 5764758, 11]-NRT-code) [i]
6Linear OOA(769, 1152965, F7, 10, 10) (dual of [(1152965, 10), 11529581, 11]-NRT-code) [i]OA Folding and Stacking