Information on Result #684492

Linear OA(796, 5764848, F7, 13) (dual of [5764848, 5764752, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) 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(749, 5764801, F7, 8) (dual of [5764801, 5764752, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(77, 47, F7, 4) (dual of [47, 40, 5]-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(797, 5764849, F7, 13) (dual of [5764849, 5764752, 14]-code) [i]Code Embedding in Larger Space
2Linear OOA(796, 5764848, F7, 2, 13) (dual of [(5764848, 2), 11529600, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(796, 5764848, F7, 3, 13) (dual of [(5764848, 3), 17294448, 14]-NRT-code) [i]
4Digital (83, 96, 5764848)-net over F7 [i]
5Linear OOA(796, 2882424, F7, 2, 13) (dual of [(2882424, 2), 5764752, 14]-NRT-code) [i]OOA Folding
6Linear OOA(796, 1921616, F7, 3, 13) (dual of [(1921616, 3), 5764752, 14]-NRT-code) [i]