Information on Result #1193982
Digital (49, 66, 1640)-net over F9, using net defined by OOA based on linear OOA(966, 1640, F9, 17, 17) (dual of [(1640, 17), 27814, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(966, 13121, F9, 17) (dual of [13121, 13055, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(966, 13124, F9, 17) (dual of [13124, 13058, 18]-code), using
- trace code [i] based on linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- trace code [i] based on linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(966, 13124, F9, 17) (dual of [13124, 13058, 18]-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 (50, 67, 1640)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (57, 74, 1650)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (58, 75, 1656)-net over F9 | [i] | ||