Information on Result #684653

Linear OA(7100, 117670, F7, 19) (dual of [117670, 117570, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
  1. linear OA(797, 117649, F7, 19) (dual of [117649, 117552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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 OOA(7100, 99816, F7, 2, 19) (dual of [(99816, 2), 199532, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(7100, 99816, F7, 3, 19) (dual of [(99816, 3), 299348, 20]-NRT-code) [i]
3Digital (81, 100, 99816)-net over F7 [i]
4Linear OOA(7100, 58835, F7, 2, 19) (dual of [(58835, 2), 117570, 20]-NRT-code) [i]OOA Folding
5Linear OOA(7100, 39223, F7, 3, 19) (dual of [(39223, 3), 117569, 20]-NRT-code) [i]
6Linear OOA(7100, 13074, F7, 19, 19) (dual of [(13074, 19), 248306, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row