Information on Result #1193270
Digital (47, 56, 1195741)-net over F9, using net defined by OOA based on linear OOA(956, 1195741, F9, 9, 9) (dual of [(1195741, 9), 10761613, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(956, 4782965, F9, 9) (dual of [4782965, 4782909, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(956, 4782968, F9, 9) (dual of [4782968, 4782912, 10]-code), using
- 1 times truncation [i] based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 1 times truncation [i] based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(956, 4782968, F9, 9) (dual of [4782968, 4782912, 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 (51, 60, 1195751)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (52, 61, 1195757)-net over F9 | [i] | ||
| 3 | Digital (53, 62, 1195777)-net over F9 | [i] | ||
| 4 | Digital (54, 63, 1195823)-net over F9 | [i] | ||