Information on Result #1205179
Digital (184, 198, 3595113)-net over F3, using trace code for nets based on digital (52, 66, 1198371)-net over F27, using
- net defined by OOA [i] based on linear OOA(2766, 1198371, F27, 14, 14) (dual of [(1198371, 14), 16777128, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(2766, 8388597, F27, 14) (dual of [8388597, 8388531, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2766, large, F27, 14) (dual of [large, large−66, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2766, large, F27, 14) (dual of [large, large−66, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(2766, 8388597, F27, 14) (dual of [8388597, 8388531, 15]-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 (185, 199, 3595113)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (186, 200, 3595113)-net over F3 | [i] | ||
| 3 | Digital (187, 201, 3595113)-net over F3 | [i] | ||
| 4 | Digital (188, 202, 3595113)-net over F3 | [i] | ||
| 5 | Digital (189, 203, 3595113)-net over F3 | [i] | ||
| 6 | Digital (190, 204, 3595113)-net over F3 | [i] | ||
| 7 | Digital (191, 205, 3595117)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 8 | Digital (192, 206, 3595120)-net over F3 | [i] | ||
| 9 | Digital (193, 207, 3595122)-net over F3 | [i] | ||
| 10 | Digital (194, 208, 3595124)-net over F3 | [i] | ||
| 11 | Digital (195, 209, 3595128)-net over F3 | [i] | ||
| 12 | Digital (196, 210, 3595133)-net over F3 | [i] | ||
| 13 | Digital (197, 211, 3595139)-net over F3 | [i] | ||
| 14 | Linear OOA(3198, 3595113, F3, 5, 14) (dual of [(3595113, 5), 17975367, 15]-NRT-code) | [i] | Extracting Embedded OOA | |