Information on Result #1192362
Digital (134, 154, 1677720)-net over F8, using net defined by OOA based on linear OOA(8154, 1677720, F8, 22, 20) (dual of [(1677720, 22), 36909686, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8154, 8388601, F8, 2, 20) (dual of [(8388601, 2), 16777048, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8154, 8388602, F8, 2, 20) (dual of [(8388602, 2), 16777050, 21]-NRT-code), using
- trace code [i] based on linear OOA(6477, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6477, 8388602, F64, 20) (dual of [8388602, 8388525, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- OOA 2-folding [i] based on linear OA(6477, 8388602, F64, 20) (dual of [8388602, 8388525, 21]-code), using
- trace code [i] based on linear OOA(6477, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8154, 8388602, F8, 2, 20) (dual of [(8388602, 2), 16777050, 21]-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 (135, 155, 1677720)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (136, 156, 1677720)-net over F8 | [i] | ||
| 3 | Digital (137, 157, 1677720)-net over F8 | [i] | ||
| 4 | Digital (138, 158, 1677720)-net over F8 | [i] | ||
| 5 | Digital (139, 159, 1677720)-net over F8 | [i] | ||
| 6 | Digital (140, 160, 1677720)-net over F8 | [i] | ||
| 7 | Digital (144, 164, 1677729)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 8 | Digital (145, 165, 1677734)-net over F8 | [i] | ||
| 9 | Digital (146, 166, 1677737)-net over F8 | [i] | ||
| 10 | Digital (147, 167, 1677744)-net over F8 | [i] | ||
| 11 | Digital (148, 168, 1677745)-net over F8 | [i] | ||
| 12 | Digital (149, 169, 1677748)-net over F8 | [i] | ||
| 13 | Digital (151, 171, 1677756)-net over F8 | [i] | ||
| 14 | Digital (153, 173, 1677785)-net over F8 | [i] | ||
| 15 | (150, 170, 1677753)-net in base 8 | [i] | ||