Information on Result #1198352
Digital (44, 67, 1789)-net over F27, using net defined by OOA based on linear OOA(2767, 1789, F27, 23, 23) (dual of [(1789, 23), 41080, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2767, 19680, F27, 23) (dual of [19680, 19613, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-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 (55, 78, 1817)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (56, 79, 1827)-net over F27 | [i] | ||
| 3 | Digital (57, 80, 1837)-net over F27 | [i] | ||
| 4 | Digital (58, 81, 1841)-net over F27 | [i] | ||
| 5 | Digital (59, 82, 1853)-net over F27 | [i] | ||
| 6 | Digital (60, 83, 1857)-net over F27 | [i] | ||
| 7 | Digital (61, 84, 1865)-net over F27 | [i] | ||
| 8 | Digital (62, 85, 1871)-net over F27 | [i] | ||
| 9 | Digital (63, 86, 1875)-net over F27 | [i] | ||
| 10 | Digital (64, 87, 1885)-net over F27 | [i] | ||
| 11 | Digital (65, 88, 1935)-net over F27 | [i] | ||
| 12 | (59, 82, 1871)-net in base 27 | [i] | ||
| 13 | (60, 83, 1889)-net in base 27 | [i] | ||
| 14 | (62, 85, 1905)-net in base 27 | [i] | ||
| 15 | (64, 87, 1939)-net in base 27 | [i] | ||