Information on Result #1193900
Digital (99, 114, 2097150)-net over F9, using net defined by OOA based on linear OOA(9114, 2097150, F9, 18, 15) (dual of [(2097150, 18), 37748586, 16]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9114, 8388601, F9, 2, 15) (dual of [(8388601, 2), 16777088, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9114, 8388602, F9, 2, 15) (dual of [(8388602, 2), 16777090, 16]-NRT-code), using
- trace code [i] based on linear OOA(8157, 4194301, F81, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- OOA 2-folding [i] based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 16]-code), using
- trace code [i] based on linear OOA(8157, 4194301, F81, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9114, 8388602, F9, 2, 15) (dual of [(8388602, 2), 16777090, 16]-NRT-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 (213, 228, 4194300)-net over F3 | [i] | Trace Code for Nets | |