Information on Result #1205178
Digital (170, 183, 4194300)-net over F3, using trace code for nets based on digital (48, 61, 1398100)-net over F27, using
- net defined by OOA [i] based on linear OOA(2761, 1398100, F27, 13, 13) (dual of [(1398100, 13), 18175239, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2761, 8388601, F27, 13) (dual of [8388601, 8388540, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2761, 8388601, F27, 13) (dual of [8388601, 8388540, 14]-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 (171, 184, 4194300)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (172, 185, 4194300)-net over F3 | [i] | ||
| 3 | Digital (173, 186, 4194300)-net over F3 | [i] | ||
| 4 | Digital (174, 187, 4194300)-net over F3 | [i] | ||
| 5 | Digital (175, 188, 4194300)-net over F3 | [i] | ||
| 6 | Digital (176, 189, 4194304)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 7 | Digital (177, 190, 4194307)-net over F3 | [i] | ||
| 8 | Digital (178, 191, 4194309)-net over F3 | [i] | ||
| 9 | Digital (179, 192, 4194313)-net over F3 | [i] | ||
| 10 | Digital (180, 193, 4194319)-net over F3 | [i] | ||
| 11 | Digital (181, 194, 4194325)-net over F3 | [i] | ||
| 12 | Digital (182, 195, 4194333)-net over F3 | [i] | ||
| 13 | Digital (226, 239, 5788623)-net over F3 | [i] | ||
| 14 | Digital (227, 240, 5788628)-net over F3 | [i] | ||
| 15 | Digital (228, 241, 5788633)-net over F3 | [i] | ||
| 16 | Digital (230, 243, 6990501)-net over F3 | [i] | ||
| 17 | Digital (233, 246, 6990505)-net over F3 | [i] | ||
| 18 | Digital (234, 247, 6990511)-net over F3 | [i] | ||
| 19 | Digital (235, 248, 6990521)-net over F3 | [i] | ||
| 20 | Digital (236, 249, 6990557)-net over F3 | [i] | ||
| 21 | Digital (237, 250, 6990613)-net over F3 | [i] | ||
| 22 | Linear OOA(3183, 4194300, F3, 5, 13) (dual of [(4194300, 5), 20971317, 14]-NRT-code) | [i] | Extracting Embedded OOA | |