Information on Result #1194590
Digital (79, 106, 1009)-net over F9, using net defined by OOA based on linear OOA(9106, 1009, F9, 27, 27) (dual of [(1009, 27), 27137, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(9106, 13118, F9, 27) (dual of [13118, 13012, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9106, 13124, F9, 27) (dual of [13124, 13018, 28]-code), using
- trace code [i] based on linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- trace code [i] based on linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9106, 13124, F9, 27) (dual of [13124, 13018, 28]-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 (80, 107, 1009)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (92, 119, 1019)-net over F9 | [i] | (u, u+v)-Construction for Nets | |