Information on Result #684480

Linear OA(761, 5764829, F7, 9) (dual of [5764829, 5764768, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) 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(733, 5764801, F7, 5) (dual of [5764801, 5764768, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(761, 5764829, F7, 2, 9) (dual of [(5764829, 2), 11529597, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(761, 5764829, F7, 3, 9) (dual of [(5764829, 3), 17294426, 10]-NRT-code) [i]
3Digital (52, 61, 5764829)-net over F7 [i]
4Linear OOA(761, 2882414, F7, 2, 9) (dual of [(2882414, 2), 5764767, 10]-NRT-code) [i]OOA Folding
5Linear OOA(761, 1921609, F7, 3, 9) (dual of [(1921609, 3), 5764766, 10]-NRT-code) [i]
6Linear OOA(761, 1441207, F7, 9, 9) (dual of [(1441207, 9), 12970802, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row