Information on Result #1196832
Digital (66, 88, 35513)-net over F25, using net defined by OOA based on linear OOA(2588, 35513, F25, 22, 22) (dual of [(35513, 22), 781198, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(2588, 390643, F25, 22) (dual of [390643, 390555, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2588, 390644, F25, 22) (dual of [390644, 390556, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2569, 390625, F25, 18) (dual of [390625, 390556, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(253, 19, F25, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,25) or 19-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(2588, 390644, F25, 22) (dual of [390644, 390556, 23]-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 (67, 89, 35513)-net over F25 | [i] | Net Duplication | |
| 2 | Digital (68, 90, 35513)-net over F25 | [i] | ||
| 3 | Digital (81, 103, 35579)-net over F25 | [i] | (u, u+v)-Construction for Nets | |