Information on Result #1193242
Digital (31, 40, 14761)-net over F9, using net defined by OOA based on linear OOA(940, 14761, F9, 9, 9) (dual of [(14761, 9), 132809, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(940, 59045, F9, 9) (dual of [59045, 59005, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(940, 59048, F9, 9) (dual of [59048, 59008, 10]-code), using
- 1 times truncation [i] based on linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 1 times truncation [i] based on linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(940, 59048, F9, 9) (dual of [59048, 59008, 10]-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 (35, 44, 14771)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (36, 45, 14777)-net over F9 | [i] | ||
| 3 | Digital (37, 46, 14797)-net over F9 | [i] | ||
| 4 | Digital (38, 47, 14843)-net over F9 | [i] | ||