Information on Result #1189190
Digital (85, 103, 8683)-net over F5, using net defined by OOA based on linear OOA(5103, 8683, F5, 18, 18) (dual of [(8683, 18), 156191, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(5103, 78147, F5, 18) (dual of [78147, 78044, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5103, 78150, F5, 18) (dual of [78150, 78047, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- 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]
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(5103, 78150, F5, 18) (dual of [78150, 78047, 19]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (86, 104, 8683)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (87, 105, 8683)-net over F5 | [i] | ||