Information on Result #1196408
Digital (42, 57, 55804)-net over F25, using net defined by OOA based on linear OOA(2557, 55804, F25, 15, 15) (dual of [(55804, 15), 837003, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2557, 390629, F25, 15) (dual of [390629, 390572, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(2557, 390625, F25, 15) (dual of [390625, 390568, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
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 (43, 58, 55804)-net over F25 | [i] | Net Duplication | |
| 2 | Digital (49, 64, 55830)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (50, 65, 55831)-net over F25 | [i] | ||
| 4 | Digital (51, 66, 55832)-net over F25 | [i] | ||
| 5 | Digital (52, 67, 55856)-net over F25 | [i] | ||
| 6 | Digital (53, 68, 55870)-net over F25 | [i] | ||
| 7 | Digital (55, 70, 56013)-net over F25 | [i] | ||
| 8 | Digital (54, 69, 55882)-net over F25 | [i] | ||