Information on Result #1198400
Digital (46, 70, 1640)-net over F27, using net defined by OOA based on linear OOA(2770, 1640, F27, 24, 24) (dual of [(1640, 24), 39290, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(2770, 19680, F27, 24) (dual of [19680, 19610, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-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 (47, 71, 1640)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (58, 82, 1668)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (59, 83, 1678)-net over F27 | [i] | ||
| 4 | Digital (60, 84, 1688)-net over F27 | [i] | ||
| 5 | Digital (61, 85, 1692)-net over F27 | [i] | ||
| 6 | Digital (62, 86, 1704)-net over F27 | [i] | ||
| 7 | Digital (63, 87, 1708)-net over F27 | [i] | ||
| 8 | Digital (64, 88, 1716)-net over F27 | [i] | ||
| 9 | Digital (65, 89, 1722)-net over F27 | [i] | ||
| 10 | Digital (66, 90, 1724)-net over F27 | [i] | ||
| 11 | Digital (67, 91, 1728)-net over F27 | [i] | ||
| 12 | Digital (68, 92, 1736)-net over F27 | [i] | ||
| 13 | (62, 86, 1722)-net in base 27 | [i] | ||
| 14 | (64, 88, 1740)-net in base 27 | [i] | ||
| 15 | (65, 89, 1756)-net in base 27 | [i] | ||
| 16 | (68, 92, 1790)-net in base 27 | [i] | ||
| 17 | (81, 105, 1640)-net in base 9 | [i] | Base Change | |