Information on Result #684482

Linear OA(7103, 5764839, F7, 15) (dual of [5764839, 5764736, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
  1. linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(76, 38, F7, 4) (dual of [38, 32, 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(7102, 5764838, F7, 14) (dual of [5764838, 5764736, 15]-code) [i]Truncation
2Linear OOA(7103, 4036671, F7, 2, 15) (dual of [(4036671, 2), 8073239, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(7103, 4036671, F7, 3, 15) (dual of [(4036671, 3), 12109910, 16]-NRT-code) [i]
4Digital (88, 103, 4036671)-net over F7 [i]
5Linear OOA(7103, 2882419, F7, 2, 15) (dual of [(2882419, 2), 5764735, 16]-NRT-code) [i]OOA Folding
6Linear OOA(7103, 1921613, F7, 3, 15) (dual of [(1921613, 3), 5764736, 16]-NRT-code) [i]
7Linear OOA(7103, 823548, F7, 15, 15) (dual of [(823548, 15), 12353117, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row