Information on Result #737503

Linear OA(5126, 78155, F5, 22) (dual of [78155, 78029, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
  1. linear OA(5120, 78125, F5, 22) (dual of [78125, 78005, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(56, 30, F5, 4) (dual of [30, 24, 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 OOA(5126, 48493, F5, 2, 22) (dual of [(48493, 2), 96860, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5126, 48493, F5, 3, 22) (dual of [(48493, 3), 145353, 23]-NRT-code) [i]
3Digital (104, 126, 48493)-net over F5 [i]
4Linear OOA(5126, 39077, F5, 2, 22) (dual of [(39077, 2), 78028, 23]-NRT-code) [i]OOA Folding
5Linear OOA(5126, 26051, F5, 3, 22) (dual of [(26051, 3), 78027, 23]-NRT-code) [i]
6Linear OOA(5126, 7105, F5, 22, 22) (dual of [(7105, 22), 156184, 23]-NRT-code) [i]OA Folding and Stacking