Information on Result #1195574
Digital (67, 90, 11915)-net over F16, using net defined by OOA based on linear OOA(1690, 11915, F16, 23, 23) (dual of [(11915, 23), 273955, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(1690, 131066, F16, 23) (dual of [131066, 130976, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1690, 131074, F16, 23) (dual of [131074, 130984, 24]-code), using
- trace code [i] based on linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- trace code [i] based on linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1690, 131074, F16, 23) (dual of [131074, 130984, 24]-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 (78, 101, 11932)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (79, 102, 11939)-net over F16 | [i] | ||
| 3 | Digital (80, 103, 11948)-net over F16 | [i] | ||
| 4 | Digital (81, 104, 11953)-net over F16 | [i] | ||
| 5 | Digital (82, 105, 11960)-net over F16 | [i] | ||
| 6 | (97, 120, 11915)-net in base 8 | [i] | Base Change | |