Information on Result #1195918
Digital (18, 25, 130209)-net over F25, using net defined by OOA based on linear OOA(2525, 130209, F25, 7, 7) (dual of [(130209, 7), 911438, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2525, 390628, F25, 7) (dual of [390628, 390603, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2525, 390629, F25, 7) (dual of [390629, 390604, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(2525, 390625, F25, 7) (dual of [390625, 390600, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2521, 390625, F25, 6) (dual of [390625, 390604, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(2525, 390629, F25, 7) (dual of [390629, 390604, 8]-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 (21, 28, 130235)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (22, 29, 130835)-net over F25 | [i] | ||
| 3 | Digital (23, 30, 131743)-net over F25 | [i] | ||
| 4 | Digital (77, 91, 1328580)-net over F25 | [i] | ||
| 5 | Digital (81, 96, 1328580)-net over F25 | [i] | ||