Information on Result #684678

Linear OA(792, 117686, F7, 17) (dual of [117686, 117594, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
  1. linear OA(785, 117649, F7, 17) (dual of [117649, 117564, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(77, 37, F7, 5) (dual of [37, 30, 6]-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(793, 117687, F7, 17) (dual of [117687, 117594, 18]-code) [i]Code Embedding in Larger Space
2Linear OA(794, 117688, F7, 17) (dual of [117688, 117594, 18]-code) [i]
3Linear OA(795, 117689, F7, 17) (dual of [117689, 117594, 18]-code) [i]
4Linear OOA(792, 117686, F7, 2, 17) (dual of [(117686, 2), 235280, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(792, 117686, F7, 3, 17) (dual of [(117686, 3), 352966, 18]-NRT-code) [i]
6Digital (75, 92, 117686)-net over F7 [i]
7Linear OA(793, 117688, F7, 17) (dual of [117688, 117595, 18]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OA(794, 117690, F7, 17) (dual of [117690, 117596, 18]-code) [i]
9Linear OOA(792, 58843, F7, 2, 17) (dual of [(58843, 2), 117594, 18]-NRT-code) [i]OOA Folding
10Linear OOA(792, 39228, F7, 3, 17) (dual of [(39228, 3), 117592, 18]-NRT-code) [i]