Information on Result #1203744
Digital (17, 35, 1820)-net over F128, using net defined by OOA based on linear OOA(12835, 1820, F128, 18, 18) (dual of [(1820, 18), 32725, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(12835, 16380, F128, 18) (dual of [16380, 16345, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-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 (26, 44, 1949)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (27, 45, 1970)-net over F128 | [i] | ||
| 3 | Digital (29, 47, 2012)-net over F128 | [i] | ||
| 4 | Digital (30, 48, 2078)-net over F128 | [i] | ||
| 5 | Digital (31, 49, 2099)-net over F128 | [i] | ||
| 6 | Digital (32, 50, 2120)-net over F128 | [i] | ||
| 7 | Digital (33, 51, 2206)-net over F128 | [i] | ||
| 8 | Digital (33, 51, 2207)-net over F128 | [i] | ||
| 9 | (31, 49, 1820)-net in base 32 | [i] | Base Change | |