Information on Result #737509

Linear OA(5105, 78155, F5, 18) (dual of [78155, 78050, 19]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
  1. linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(5105, 59389, F5, 2, 18) (dual of [(59389, 2), 118673, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5105, 59389, F5, 3, 18) (dual of [(59389, 3), 178062, 19]-NRT-code) [i]
3Digital (87, 105, 59389)-net over F5 [i]
4Linear OOA(5105, 39077, F5, 2, 18) (dual of [(39077, 2), 78049, 19]-NRT-code) [i]OOA Folding
5Linear OOA(5105, 26051, F5, 3, 18) (dual of [(26051, 3), 78048, 19]-NRT-code) [i]