Information on Result #684572

Linear OA(791, 823577, F7, 15) (dual of [823577, 823486, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
  1. linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(76, 34, F7, 4) (dual of [34, 28, 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(790, 823576, F7, 14) (dual of [823576, 823486, 15]-code) [i]Truncation
2Linear OOA(791, 669775, F7, 2, 15) (dual of [(669775, 2), 1339459, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(791, 669775, F7, 3, 15) (dual of [(669775, 3), 2009234, 16]-NRT-code) [i]
4Digital (76, 91, 669775)-net over F7 [i]
5Linear OOA(791, 411788, F7, 2, 15) (dual of [(411788, 2), 823485, 16]-NRT-code) [i]OOA Folding
6Linear OOA(791, 274525, F7, 3, 15) (dual of [(274525, 3), 823484, 16]-NRT-code) [i]
7Linear OOA(791, 117653, F7, 15, 15) (dual of [(117653, 15), 1764704, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row