Information on Result #1193830
Digital (92, 106, 2097150)-net over F9, using net defined by OOA based on linear OOA(9106, 2097150, F9, 18, 14) (dual of [(2097150, 18), 37748594, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9106, 8388601, F9, 2, 14) (dual of [(8388601, 2), 16777096, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9106, 8388602, F9, 2, 14) (dual of [(8388602, 2), 16777098, 15]-NRT-code), using
- trace code [i] based on linear OOA(8153, 4194301, F81, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8153, 8388602, F81, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(8153, 8388602, F81, 14) (dual of [8388602, 8388549, 15]-code), using
- trace code [i] based on linear OOA(8153, 4194301, F81, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9106, 8388602, F9, 2, 14) (dual of [(8388602, 2), 16777098, 15]-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 (198, 212, 4194300)-net over F3 | [i] | Trace Code for Nets | |