Information on Result #684655

Linear OA(794, 117670, F7, 18) (dual of [117670, 117576, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
  1. linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(73, 21, F7, 2) (dual of [21, 18, 3]-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(795, 117671, F7, 18) (dual of [117671, 117576, 19]-code) [i]Code Embedding in Larger Space
2Linear OOA(794, 92571, F7, 2, 18) (dual of [(92571, 2), 185048, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(794, 92571, F7, 3, 18) (dual of [(92571, 3), 277619, 19]-NRT-code) [i]
4Digital (76, 94, 92571)-net over F7 [i]
5Linear OOA(794, 58835, F7, 2, 18) (dual of [(58835, 2), 117576, 19]-NRT-code) [i]OOA Folding
6Linear OOA(794, 39223, F7, 3, 18) (dual of [(39223, 3), 117575, 19]-NRT-code) [i]
7Linear OOA(794, 13074, F7, 18, 18) (dual of [(13074, 18), 235238, 19]-NRT-code) [i]OA Folding and Stacking