Information on Result #684476

Linear OA(792, 5764828, F7, 13) (dual of [5764828, 5764736, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
  1. linear OA(789, 5764801, F7, 13) (dual of [5764801, 5764712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. 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]
  3. linear OA(73, 27, F7, 2) (dual of [27, 24, 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(792, 5764828, F7, 2, 13) (dual of [(5764828, 2), 11529564, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(792, 5764828, F7, 3, 13) (dual of [(5764828, 3), 17294392, 14]-NRT-code) [i]
3Digital (79, 92, 5764828)-net over F7 [i]
4Linear OOA(792, 2882414, F7, 2, 13) (dual of [(2882414, 2), 5764736, 14]-NRT-code) [i]OOA Folding
5Linear OOA(792, 1921609, F7, 3, 13) (dual of [(1921609, 3), 5764735, 14]-NRT-code) [i]
6Linear OOA(792, 960804, F7, 13, 13) (dual of [(960804, 13), 12490360, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row